Suppose is a scalar field on the Cartesian plane ( i e ) Select all statements that are true A Suppose and both exist Then there is always a direction in which the rate of change of at is zero B If has and at the point , then is constant everywhere C is a vector in 3 dimensional space D The gradient vector is tangent to the level set contour of at E is parallel to F G The gradient vector is perpendicular to the level set contour of at H is a vector field in 2 dimensional space I None of the above

Question

Suppose is a scalar field on the Cartesian plane ( i   e   )   Select all statements that are true  A   Suppose and both exist  Then there is always a direction in which the rate of change of at is zero  B   If has and at the point , then is constant everywhere  C   is a vector in 3   dimensional space  D   The gradient vector is tangent to the level set contour of at   E   is parallel to   F     G   The gradient vector is perpendicular to the level set contour of at   H   is a vector field in 2   dimensional space  I  None of the above

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Suppose is a scalar field on the Cartesian plane ( i . e . ) . Select all statements that are true. A . Suppose

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