f(x, y) = xy (a) Circle the figure that represents the contour diagram for f. Y 5 H 5 X (b) Compute the gradient of f. 3. 5 5 CT Y x Vf(x, y) (c) Plot the contour diagram for f and the the vector field corresponding to Vƒ. 5 сл سے ان x 5 (d) True / False: The gradient of a function is orthogonal to its contours. x

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A: Since you posted multiple questions, as per Bartleby guidelines we are answering here first…

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A: Since you have asked multiple questions, we will answer the questions (a) and (b) for you. If you…

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A: To find the gradient at the given point and then rate of change for the given function.

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A: The given function is .To determine the contour map and the sketch of the function.

Q: choose any quadratic formula

A: If you have any help please let me know in comment box and then I will help you.

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A: This is a problem of vector calculus.

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A: This is a problem of geometry and vector algebra.