a. Find the equation of the tangent plane to the level set g(x, y, z) = cat the point P(2,-1, 1) in the level set, and find the value of c. b. Find a unit vector u so that the directional derivative of g at point the P. denoted D,,ge. is zero.

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A: Please refer the attached image for complete solution.

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A: This question can be solved using the concept of the stated theorem 13.9

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A: Therefore unit tangent vector of r(t→)=4cos(t)i^+4sin(t)j^  at t=π4 is  -12i^+12j^ Therefore the…

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A: Note: Since you have asked multiple question, we will solve the first question for you. If you want…

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A: Given,      r(t) = (t2)i^+(3t)j^+(2t)k^  at   t=2.

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Q: Find the directional derivative of the function at the given point in the direction of the vector v.…

A: g(s, t) =st(a) The gradient is just the vector of partial derivatives. The partial derivatives of g…

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Q: Find the directional derivative of the function at the given point in the direction of the vector v.…

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