Calculus of variations studies finding functions that optimize certain quantities, often expressed as integrals. This advanced branch focuses on extremizing functionals, with applications in physics, economics, and optimization theory.
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MATED MELVE Question 43 Not yet answered Marked out of 4.62 FPRog question Which of the following is the value of r(x) in the finction betow? f(x)=2x-1 Select one: A.2 B.4 C.7 ...
a closed circular cylindrical tank is to be made from a material 230.91 m^2 in area. If the volume of the cylinder is maximum, what should be the height of the tank? ...
(a) Convert the following equation into an equation in terms of Cartesian coordinates. rsin=2+rsec (b)(i) Use the Mathematica program to sketch the area that is inside r+2cos=4 and outside r-2cos=...
For a continuous function f, let g be the function defined by g(x)=\int_0^x (3f(t)+\sqrt(t^(3)+1))dt. ...
Find the limit of the following sequence or determine that the sequence diverges. StartSet ln left parenthesis n cubed plus 8 right parenthesis minus ln left parenthesis 9 n cubed plus 13 n right p...
At what points is the function y=(8x-5)13 continuous? Describe the set of x-values where the function is continuous using interval notation. (Simplify your answor:) ...
At what points is the given function continuous? y=1|x|3-x33 The set of x-values where the function is continuous is (Type your answer in interval notation.) ...
k=012(-2)k is an alternating geometric series, which divergesconverges. k=012(-2)k=. Enter DNE for "does not exist" if the series diverges. ...
given w =cos(x^2+2y)-e^(4x-z^4y)+y^3,find paritial of w divided by partial of z ...
At what points is the function continuous?Y=x 6/3 sin x Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The function is continuous on (-00,00...
Find the value of the derivative (if it exists) at the indicated extremum. (If an answer does not exist, enter DNE.) 23 , 10 3 9 f(x)=5xx +1 f ' 23 = ...
At what points is the function continuous? y=x63sinx Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The function is continuous on (-,), except ...
At what points is the given function continuous? y=1|x|3-x34 The set of x-values where the function is continuous is (Type your answer in intenl notation.) more help ...
At what points is the function y=|8x-1|9sin(5x) continuous? Describe the set of x-values where the function is continuous using interval notation. (Simplify your answer.) ...
The temperature at a point (x,y,z) is given by T(x,y,z)=200e-x2-y34-z39, where vec(T) is measured in degrees Celsius and x,y, and z in meters. There are lots of places to make silly errors in this p...
ind the absolute maximum and absolute minimum values of f on the given interval. f(x)=17+4x x2,[0,5] absolute minimum value absolute maximum value ...
(a) Find and classify all critical points of f and classify each as a local maximum point of f, a local minimum point of f, or neither. Explain how you made your classification for one of the critic...
(a) For what values of r does the function y = erx satisfy the differential equation 7y+34y5y =0? (Enter your answers as a comma-separated list.) r = (b) If r1 and r2 are the v...
In Exercises 25-28, sketch the domain of integration and express as an iteruted integral in the opposite order. 25.04x4f(x,y)dydx ...
Question 10 a) Show that the discriminant of the equation 3x2-4x2=m is =12m-8 b) Hence, find the value of m for which the equation has 1 solution a) Sketch a possible graph for the quadratic e...
b. g(x)=13x12atx=3 g'(3)= c. h(x)=5xatx=4 h'(4)= d. j(x)=130x-1atx=5 j'(5)= ...
Suppose that for a company manufacturing kayaks, the profit function is given by P (x)=-20,000+75x - x^2/30 where the production and sale in one week is x kayaks. a.(6 pts) Suppose that the com...
Solve the following word problem: Suppose that for a company manufacturing kayaks, the profit function is given by P (x)=-20,000+75x - x^2/30 where the production and sale in one week is x kayaks...
Find f. f''()= sin()+ cos(),f(0)=1,f'(0)=1 ...
(a) Let P be a point on a smooth curve r=f() in R2 which is not the origin, and let be the acute angle between the line OP and the tangent to the curve at P. Show that cos=|f'()|f()2f'()22 (b) Us...
a. Which is easier, antidifferentiating y1xy2 with respect to x or with respect to y? Explain. b. Evaluate Fy1xy2dA, where R=[0,1][0,1]. ...
Find the arc length s of the vector function 8 t +t^6+2/t^2 from t=1 to t=2.(Use symbolic notation and fractions where needed.) ...
A sum if $600 at 8% interest compounded continuously will grow to V(t)=600e.08t dollars in t years. Find the rate of growth after the following amount of time. 0 years (the time of the original d...
15x^(3)-15x^(2)+17x-94=0 b. Use the solution from part (a) to solve this pro ...
Part 1 of 8 Points: 0 of 1 Use the quadratic function f(x)=2x^(2)-7x-4 to complete parts a through g. a ...
Suppose that the functions f and g are defined for all real numbers x as follov f(x)=3x-1 g(x)=6x Write the expressions for (g+f)(x) and (g*f)(x) and evaluate (g-f)(1).(g+f)(x)=8x-1(g*f)(x)=-3t (g-f...
HLAlg 22. Write each function in vertex form. y=x^(2)-4x+6 Vertex, x=-(b)/(2a) Vertex Form: y=a(x-h)^(2)+k ...
Question 4,4.1.17 points Points: 0 of 1 Sa Decide whether the function is one-to-one. y=8x-3 Is the function one-to-one? No Yes ...
Given circle O with a radius of 9,AB=24, and BC=30. Is bar (AB) a tangent to circle O ? Choose: YES NO ...
6 Suppose that a varies inversely with b, and b=4 when a=9. Find b when a=8. Show your work here Enter your answer ...
Solve. Write the solution set in interval notation. (Enter EMPTY or( O)/( f)or the empty set. )3x3 ...
e population of a rural city follows the exponential growth model P(t)=3400e^(0.039t) where t is the number of years after 1985. What was the population of this city in 1985? What is the relative gr...
One of the legs of a right triangle measures 13 cm and the other leg measures 11 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth. ...
(2x) Use the discriminant to classify the solutions of a quadratic equation Question Use the discriminant to determine the number and type of solutions of the following quadratic equation. 49x^(2)+5...
Question Solve for x to the nearest 10 th.9=8(2)^(2x+1)-5 Answer Attempt 1 out of 5 Submit Answer ...
Simplify. Assume that all variables represent positive real numbers (x^((3)/(4)))/(x^((1)/(3))) ...
Find the coordinates of the two points of intersection of the line with equation y=2x+5 and the circle with equation x^(2)+y^(2)-6y-2y-30=0 ...
Your answer is incorrect. The functions q and r are defined as follows. q(x)=-2x-1 r(x)=-2x^(2)+2 Find the value of q(r(2)). ...
Simplify the following expression to simplest form using only positive exponents. (32x^(10)y^(-35))^((2)/(5)) Answer ...
If 5 is an element in the domain of f(x)=(5x-15)/(4), what is the corresponding element in the range? ...
xZ=8,YZ=5, and xY=7. What is the area of the triangle? Enter your answer in the box in simplified radical form. units square ...
use the given about a circle to write an equation of the circle in standard form the endpoints of a diameter are (6,-1) and (0,-9) ...
Simplify: ((h^(2)q^(-4)h^(2))^(4))/(q^(-3)) Write your answer with only positive exponents. ...
Question 15,3.1.46 Part 2 of 3 For the function f(x)=5x+3, find each of the following. (a) f(p) f(p)=5p+3(Simplify your answer. ) ...
Divide. (3x^(2)+11x-15)-:(x+5) Your answer should give the quotient and the remainder ...
The perimeter of a rectangle is 58 inches, and its area is 210in^(2). Find its length and width. longer side 17.5 in shorter side 11.5 in ...
Given f(x)=x-2 and g(x)=x^(2)+3, determine each of the following, simplifying if possible. 2(1 point ) Simplify (g-f)(x).(g-f)(x) ...
3 The slope intercept form for a line is y=mx+b. Which of the following solves this equation for the variable x ? A,x=(y-b)/(m) cx=(y)/(m)-b Bx=(y+b)/(m) D x=(y)/(m)+b ...
Solve the equation algebraically. Answer as a reduced fraction only. 1(-3x-2)+7=-12-10(x-5) x ...
foundations Google Classroom Microsoft Teams -20x^(2)+25x^(2)y-40x=-5x(4x-5xy+c) In the given equation, c is a positive constant. What is the va ...
((6xy^(2))(2xy)^(2))/(8x^(2)y^(2)) If the expression above is written in the form ax^(m)y^(n), what is the value of m+n? ...
Solve for x (x)/(x+5)=(x+25)/(x^(2)-25)-(3)/(x-5) If there is more than one solution, separate them ...
Question 1,7.2.7-T HW Score: 0%,0 of 13 points Part 1 of 4 Points: 0 of 1 Save Determine the area under the standard normal curve that lies to the right of (a) Z=0.66,(b) Z=-0.33,(c) Z=-0.54, and (d...
3 Which represents the equation of a circle with center at (-3,2) and radius 6?(A)(x-3)^(2)+(y+2)^(2)=36(B)(x+3)^(2)+(y-2)^(2)=36(C)(x-3)^(2)+(y+2)^(2)=12(D)(x+3)^(2)+(y-2)^(2)=12 ...
Evaluate the following as true or false. (csc^(2)x-cot^(2)x)/(tanxsinx)=cotxcscx is an identity. ...
Simplify the following expression. Hint: Do power rule then product rule!!! (2x^(2))(x^(2))^(6)(3x^(2))^(3) ...
Factor the polynomial twice. First use a common factor with a positive coefficient, and then use a common factor with a negative coefficient. -b^(4)+7b^(3)+6b The factorization where the common fact...
Solve this system using the substitution method. y=x-14x-3y=6 Solve using the substitution method and be sure to show all of your work. ...
Question 8 Use the distributive property to remove the p 3b^(3)(6b^(2)-7) Simplify your answer as much as possible. ...
Find (g@f)(x) for the pair of functions and give the domain. f(x)=(16)/(x),g(x)=9-x ...
Given x+5y=3, it turns out this equation defines y as a function of x. a. Solve the equation for y in terms of x, and then rewrite the equation with the y replaced by the function notation f(x).(10 ...
Give the domain of the variable in the following equation. (1)/(3x)+(1)/(5x)=(x)/(3) ...
Use the rational zeros theorem to list all possible rational zeros of the following. g(x)=-6x^(4)-8x^(3)-7x^(2)+7x+2 Be sure that no value in your list appears more than once. ...
e using a proportion. hi drives her car 136 mi on the highway on 4 gal of gas. At this rate how many miles can she drive on 9 gal of gas? Toni can drive mi on 9 gal of gas. ...
Simplify. ((a^(3)b^(7))/(a^(6)b^(4)))^(5) Write your answer using only positive exponents ...
Find the specified nth term in the expansion of the binomial. (3x +2y)^(15), n =5. you need to expand the binomial first to find the answer ...
Find all values of the variable x for which the rational expression is undefined. (9x+19)/(x^(2)-5x+6) ...
LTIPLE CHOICE. Choose the one alternative that ide using long division. (-5x^(5)-x^(3)+2x^(2)+255x-14)-:(x^(2)-7) A ...
(11j^(-3)k^(-5))(j^(3)k^(4)) Type the correct answer in the box. Use numerals instead of words. For t When y--5 and k=7, the value of the expression is ...
h(t)=-16t^(2)+16t+160 how many seconds will it take to hit the groun ...
QUESTION 13 Write the equation of the line that passes through the points (-2,9) and (6,-7). y=(1)/(2)x+3 y=3x+2 y=-2x+5 y=2x-4 y=-(1)/(2)x-3 ...
How many (1)/(8) s are in 25? What multiplication equation can you us to check your answer? 5.FR.2.4 ...
Perform the indicated operation on the two rational expressions and reduce your answer to lowest terms. (-2x+6)/(2x-7)-(2x-8)/(2x-7) ...
There are 20,(2)/(3) cups of dog food in a storage bin. If Kayla's dog eats 2,(1)/(2) cups of food each day, how many foll days will the food last? ...
Question 6, CA-2.8.15 Let f(x)=x^(2)-13 and g(x)=9-x. Perform the composition or operation indicated. (fg)(6) ...
Given that the straight line x-y+3=0 does not intersect with the curve x^(2)+y^(2)=k where k is a constant. Find the range of values of k. b^(2)-4ac...
y=-2(x+4)^(2)+1, identifica el vertice de la parabola, la direccion en que se abre y dibuja el grafico. ...
he following equation for x. Express your answe -(1)/(2)(4x-8)-2=6-2(x+2) Attempt 1 out of 2 ...
Write as a single fraction. (9)/(u^(2)-4u-12)-(3u)/(u^(2)-3u-18)+(5)/(u^(2)+5u+6) Simplify your answer as much as possible. ...
Factor 27x^(2)z+36xz+12z completely. Question 27100 pts Factor the polynomial 30x^(3)+22x^(2)+4x completely. ...
True or false? (sect+csct)/(1+tan^(2)t)=(sintcost+cos^(2)t)/(sint) is an identity. ...
the function decreasing? 31. Given f(x)=2x+1,g(x)=2x-1, determine the following and descril the domain: f+g(x) fg(x) f-g(x)(L)/(x)(x) ...
erify the identity: (secx)/(tan^(2)x+sec^(2)x)=(cosx)/(sin^(2)x+1) ...
Simplify the expression (1)/(x^(2)+5x+6)-(1)/(x^(2)-3x-10) and give your answer in the form of (f(x))/(g(x)) ...
Solve the system by using any method. Express numbers as integers or simplifiec y=-x^(2)+10x-15 y=x^(2)-6x+15 ...
1 Select the correct answer. Which expression is equivalent to the given expression? (2w^(-2))^(3)(8w^(6)) A.48 B.64 C.(64)/(w^(2)) D.(48)/(w^(2)) ...
Find the solution to the system by the addition (elimination ) method. Check your answers. 1.5x+1.2y=2.40.3x+0.2y=0.6 ...
ermine whether the following relation represents a function. Give the domain and range for the relati {(4,8),(-1,7),(1,1),(7,7)} ...
Solve for the variable and check your answer. (1)/(15)x+(4)/(5)=-(1)/(3) ...
Zoom Add note 9. A rectangular prism has a volume of 30 cubic feet. Find its volume if one of its dimensions was doubled, a second dimension was tripled, and a third dimension was increased to four ...
Find all other zeros of P(x)=x^(3)+5x^(2)+9x+5, given that -2-i is a zero. (If there is more than one zero, separate them with commas. ) ...
Solve the equation 3, x, squared, minus, 14, x, minus, 13, equals, 2, x, squared 3x 2-14x-13=2x 2 to the nearest tenth. ...
Simpity. Assume that all variables represent positive real numbers. ((33x^((6)/(7)))/(3x^((1)/(3))))^(3) ...
The function f(x)=x^(2)-4x+3 has a minimum value at x=h. What is the value of h ? A ...
the following equation for x. Express your answe 7-2(-2x+7)=-4+(1)/(2)(8x-6) Attempt 1 out of 2 ...
Determine if the following relations are a function. Give your reasoning. A.{(1,5),(8,2),(6,1)} B.{(1,5),(8,5),(6,1)} C.{(1,5),(8,2),(1,1)} ...
Tangent Line. (Use this scenario to answer the following two questions. ) The point (-1,42) is on the cuve determined by the equation y=(2x-1)(x^(2)-7). What is the slope of the curve at the given p...
Find the roots and the vertex of the quadratic on a calculator. Round all values to 3 decimal places (if necessary ). y=x^(2)-8x-48 ...
Q^(4).(a) Express the following in the form x+iy : (1+i)/(i)+(i)/(1-i)(b) Find all solutions to the following equation. x^(3)-x^(2)-14x+24=0 ...
s Online (CRN 21038) Subtract, tomials Question 1 of 8 Perform the indicated operation. Add (-8x^(2)-7xy-8y^(2)) and (2x^(2)+8xy-4y^(2)). ...
Find the value of k such that the system -20x-16y=13-15x+ky=-12 does not have a solution. ...
White the equation 5x^(2)+7x-12=0 in standard form ax^(2)+bx+c=0, if necessary. Then rdentify the values of a,b, and c. Do not solve the equation. ...
Simplify. (30w^(3)(w+6)(3w-8))/(25w^(5)(w+6)^(2)) You may leave the numerator and denominator of your answer in factored form. ...
What is the area of a triangle whose vertices are R(3,4), S(6,2), and T(7,10)? ...
Is it possible to form a triangle with side lengths 3.5,3.5, and 9? If so, will it be scalene, isosceles, or equilateral? (A) Yes; scalene (C) Yes; equilateral (B) Yes; isosceles (D) No ...
f(x)=(x^(2)-x-2)/(2x^(2)-x-21) Find the vertical asymptotes x The horizontul asymptotes y The oblique asymptote y ...
Simplify. (x^(2)z^(-1))((xy^(-4))/(2z^(-3)))^(3) Write your answer using only positive exponents. ...
Solve for x.2x^(2)+4x-23=(x+1)^(2) If there is more than one solution, separate them with commas. x ...
5.1=6.3 Question 1 of 25 Find the domain of the given rational function. f(x)=(5x)/((x+2)^(2)) ...
Simpify the expression. Assume all variables are positive. (a^((5)/(3))*b^((7)/(4)))^((4)/(5)) ...
The cost equation used by the May Kerr Manufacturing Co. is C(h)=2h^(2)-8h+12, where h is the number of hours it takes to produce a particular product and C(h) is the cost of production in hundreds ...
Find the x-intercept (s) of the following equation. Your answer (s) should be accurate to the nearest hundredth. y=-8x^(2)+4 ...
ModUle Knowledge Ched cuestion 4 Multiply. (2x+16)/(7)*(5)/(4x+32) Simplify your answer as much as possible. ...
Listen Solve the equation. (4)/(7)(x+14)=(2)/(3)(x-7) Use the keypad to enter your answer in the box. More symbols can be the top of the keypad. The solution to the equation is x= I. Basic ...
certain forest covers an area of 1900km^(2). Suppose that each year this area decreases by 4.75%. What will the area be after 12 years? ...
Perform the following operation and express in simplest form. (x+9)/(x-1)*(x^(2)-7x+6)/(x^(2)+3x-54) ...
Identify the degrees of the terms and the degree of the polynomial. x^(2)y-6+7x^(2)y^(2)+8y^(3) ...
A clothes shop has a sale. In the sale, normal prices are reduced by 5%. The price of a pair of shoes is reduced by $1.75 in the sale. Work out the sale price of the pair of shoes. ...
Rewrite without parentheses. -3w^(5)(-7w^(3)+2w+5) Simplify your answer as much as possible. ...
Question 1,5.6 Use the rational zeros theorem to list the pote f(x)=-49x^(7)-x^(6)+x+7 ...
Find g(x), where g(x) is the translation 7 units up of f(x)=x^(2). Write your answer in the form a(x-h)2+k, where a, h, and k are integers. ...
Rewrite without parentheses. -3u^(2)(-6u^(3)-8u^(2)+5) Simplify your answer as much as possible. ...
For each of the following functions find the composition (f@g)(x) and the domain. f(x)=3x-3 and g(x)=(1)/(x-9) ...
(iii ) Find the equation of the sphere thaving the cincle x^(2)+y^(2)+z^(2)=9,2x-3y+2z =7 ton a great eincle. ...
Simplify. Assume all variabl ((-32vw)/(vw))^((6)/(5)) Write your answer in the fo, ...
Rewrite without parentheses. -9y^(3)(-5y^(3)+2y^(2)+9) Simplify your answer as much as possible. ...
((x^(2))/(25y^(8)))^(-(3)/(2)) Vrite your answer in the form A or (A)/(B) hat have no variables in common. A ...
Abigail Malpass Question Let f(x)=3x^(2)-8x+5 and g(x)=x^(2)+9. Find the following. a ...
Simplify: -4d^(2)(5)h^(-2)(3)h^(-2) Write your answer with only positive exponents. ...
The arch support of a bridge can be modeled by y=-0,0012x^(2), where x and y are measured in feet. Find the height and width of the arch. ...
The vertices of triengle ABC are A(1,2),B(5,4) and C(7,0). Prove ABC is an isosceles right orangle. ...
How long does it take for $150 to grow to $630 at 7% annual percentage rate compounded continuously? It will take about years for $150 to grow to $630 at 7%n u al percentage rate when compounded con...
Determine the domain and the range of the relation, and tell whether the relation is a function. {(10,7),(26,-6),(42,7),(10,6),(60,6)} ...
(9x^(2)+18x+10)-:(3x+2) Your answer should give the quotient and the remainder. ...
The number of books in a community college library increases according to the function B=7200e^(0.03t), where t is measured in years. How many books will the library have after 8 years? ...
sson 7 Question 9,3.4.23 Find the slope-intercept form of the equation of a line that passes through the points (-6,-3) and (-10,9). The equation of the line in slope-intercept form is (Simplify you...
ework Question 9,7.3 Find the least common denominator (LCD ) of (8x^(2))/((x-5)^(2)) and (10x)/(7x-35) The LCD is ...
In 1994 the population of mexico was 91.8million. The annual growth rate is 2.2%. In what year did the population first exceed 120 million? ...
Find the formula for an exponential function that passes through the two points given (x,y)=(-1,(5)/(2)) and (x,y)=(3,40) ...
Find the GCF of the given list. x^(14)y^(3),x^(3)y^(3),x^(7)y^(8) The GCF of x^(14)y^(3),x^(3)y^(3), and x^(7)y^(8) is (Simplify your answer. ) ...
What is the solution set for the inequalities (x-1)/(2)...
An ant crawls (2)/(3) meters every (1)/(4) minute. If the ant crawls at a constant speed, how many meters will it crawl in 1 minute? ...
Simplify: ((s^(3))^(-2))/(s^(3)s^(5)) Write your answer with only positive exponents. ...
Simplify. Write your answer using whole numbers and variables. (r^(3)-25r^(2)+46r)/(r-23) ...
Given 8i is a root of polynomial, P(x)=x^(3)-x^(2)+64x-64, fid theremig roots ad write in factoed form ...
Write the following function in simplified form. List all restrictions on the domain f(x)=(5x+35)/(x^(2)+7x) ...
If using the method of completing the square to solve the quadratic equation x, squared, minus, 20, x, plus, 33, equals, 0x 2-20x+33=0, which number would have to be added to "complete the square"? ...
Product rule with positive exponents: Multivariate Multiply. 4y^(7)u^(9)*2u^(9)*6y Simplify your answer as much as possible. ...
Two sisters are painting mugs. The younger sister can pairk 2 mugs every half hour. The older sister can paint 6 mugs every hour. How long will it take the two sisters to pairt 80 mugs? ...
e the following equation for x. Express your answer in -10+(3)/(2)(-8x-4)=4-2(6x+10) Attempt 1 out of 2 ...
A town has a population of 13000 and grows at 5% every year. What will be the population after 11 years, to the nearest whole number? Answer Attemply out of ...
Question Find all vertical asymptotes of the following function. f(x)=(2x^(2)+6x-8)/(x+9) ...
Divide. (10x^(3)+15x^(2)-20x-6)-:(5x^(2)-5x) Your answer should give the quotient and the remainder: ...
Rewrite without parentheses. -6v^(4)(-5v^(3)-2v^(2)+7) Simplify your answer as much as possible. ...
the leading term and the constant term. G(x)=4(x-3)^(2)(x^(2)+5) Determine whether G(x) is a polynomial or no ...
Question 3 Find the slope of the line passing through the pair of points. (-2,-6),(4,-6) m=7 m=8 m=0 undefine ...
(5 points ) Find (dy)/(dx) for one of the following equations using implicit differentiation. (a)(b) e^(x)+e^(y)=x+y^(2) xy=3x^(2)+3y^(4) ...
By air, the distance from city A to city B is 3001 miles less than the distance from city C to city D. If the total of these two distances is 7869 miles, find the distance from city C to city D. ...
Solve the inequality for w. w-(2)/(3)...
Let f(x)=4x and g(x)=x^((2)/(3)). Find ((f)/(g))(x) and state the domain. Then evaluate ((f)/(g))(27). ...
Goven the center (4,3) and a radius of 7, what is the equaticn of the circle? State the center and radius of the crrcle whuse equation is (x+1)^(2)+(y-y)^(2)=121 ...
Practice 7.4 Write (a) the value of ac,(b) the correc 2x^(2)+5x+2 Factor each trinomial. If it cannot be ...
Incorrect Your answer is incorrect. Write an equation in slope-intercept form for the line with y-intercept -4 and slope -(2)/(5). ...
MONEY A pancake breakfast fundraiser served 400 pcople and charged $5 for adults and $3.50 for children. Use x to represent the number of adults served and write an expression to show how much money...
for the points (33.8,-2.4) and (30.8,1.6) find the exact distnce betwee the points find the midpoint of the line segment whose endpoints are the given points ...
Question 7 Points 2 The sum of two non-negative numbers is greater than 5, and their difference is less than 4. Find the system of inequalities. x+y>5,x-y=0 and y>=0 x+y4,x>=0 and y>=0 x+y>4,x-y=0 a...
Simplify. (4(v-7)(3v+5))/(36(3v+5)) You may leave the numerator and denominator of your answer in factored form. ...
Solve each problem involving direct or inverse variatio If y varies inversely with x, and y=12 when x=8, find y when x=4. k=y ...
What are the degree and leading coefficient of the polynomial? -23x+15x^(6)-18x^(4)+9x^(3) ...
sio (n)/(c)omplex fractions Complete the steps by writing the simplified complex fraction. ((x)/(7))/((x^(2))/(2)+(1)/(7))=(14((x)/(7)))/(14((x^(2))/(2))+14((1)/(7))) ...
Line q passes through (-5,5) and is parallel to the line 2x+y+1=0. The slope of line q is: 2-2(1)/(2)1 D DONE ...
1 Perform the indicated operations and simplify the result. (y-4)/(y+9)+(y-3)/(y+8)-(y^(2)+9y+13)/(y^(2)+17y+72) ...
g(x)=3x^(2)-4 h(x)=-8x+5 find all values that are not in the domain of (g)/(h) ...
WHICH ONE DOESN'T BELONG? Which equation does not belong with the other three? x^(2)+5x=20 x^(2)+x-4=0 x^(2)-6=4x 7x+12=x^(2) ...
eview Find the LCD for the list of rational express (5)/(4x+4),(7)/(2x^(2)+4x+2) ...
f(x)=(x^(2)+6x+5)/(x+7) Find the equation of the slant asymptote of the function. Submit Question ...
Let f be a function with the domain -2...
A closed umbrella casts a shadow when the sun shines at an 16.3 degree angle to the ground. How tall is the top of the umbrella to the nearest foot? ...
Give the vertex form and factored form of f(x)=x^(2)-12x+35. What specific information does each form provide? ...
Simplify by adding. Express your answer as a single polynomial in standard form. (8-6x+x^(2))+(-4+4x-9x^(2)) ...
Solve for u.(7u)/(u^(2)-4u-12)-(4)/(u-6)=(u)/(u+2) If there is more than one solution, separate ther ...
The polynomial P(x) has roots at 8,3,4i and can be written in the form p(x)=x^(4)-11x^(3)+40x^(2)+kx+384. What is the value of k ? ...
Solve the inequality. (x^(3)(x-4))/((x+4)^(2))...
Find (A) f^'(X),(B) the partition numbers for f^', and (C) the critical numbers of f. f(x)=4/x+4 ...
Find (A) f^'(X),(B) the partition numbers for f^', and (C) the critical numbers of f. f(x)=x^3-12 x+7 ...
ASK YOUR TEACHER The formula for wind chill C(in degrees Fahrentet) is given by C=35.740.6215T-35.75v0.360.42757v2.16 nhere F is the wind speed in miles per hour and T is the temperature in degree...
Use differentials to estimate the amount of paint needed toapply a coat of paint 0.05 cm thick to a hemispherical domewith diameter 50 m.45.(a)Use differentials to find a formula for the approximate...
3739Explain, in terms of linear approximations or differen-tials, why the approximation is reasonable.37.ln 1.04...
Find the average value of the function f(x, y)=3/ x2+ y2 on the annular region a2 x2+ y2 b2, where 0...
Evaluate the improper integral or state that it is divergent. Integral from 1 to infinity StartFraction dx Over x Superscript 3.179 EndFraction1dxx3.179 ...
Evaluate the improper integral or state that it is divergent. Integral from 0 to infinity StartFraction 2 dx Over 36 plus x squared EndFraction02dx36+x2 ...
Find z=f(x,y) and use the total differential to approximate the quantity. sin((3.06)2(2.94)2)-sin(3232) ...
Use the price-demand equation to determine whether demand is elastic, inelastic, or has unit elasticity at the indicated value of p. x equals f left parenthesis p right parenthesis equals 14 comma 5...
(a) Use the Alternating Series Estimation Theorem to determine the minimum number of terms we need to add in order to find the sum with an error less than 0.0001? ...
Use a double integral in polar coordinates to find the area of the region. The region inside the circle (x 4)2+ y2=16 and outside the circle x2+ y2=16 ...
Principle of least action and Hamilton's principle
Shortest paths on curved surfaces
Fermat's principle of least time
Optimal control and trajectory planning
