Undergraduate

Find the length of the curve x = e t - t , y = 4 e t 2 , - 8 t 4 .

Find the length of the curve x=et-t,y=4et2,-8t4.
Find the area of the surface generated by revolving x=5t2,y=10t where 0t5 about the x-axis.
Consider the given rectangular coordinates of a point. Find two sets of polar coordinabes for the poist in (0,2r).(Write one set of coordinates using r>0 and the octer using r0.
(7,7)
positive r,(r,6)=0)
negativer )
Find rectangular coordinates for the given point in polar coordinates.
(x,y)=(-6,56)
Find the area of the described region.
region below the polar axis and enclosed by r=7-cos()
Find the length of the curve x = e t - t , y = 4

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