Question

F(x, y, z) = 2xz + y2 i + 2xy j + x2 + 9z2 k C: x = t2, y = t + 1, z = 2t − 1, 0 ≤ t ≤ 1 (a) Find a function f such that F = ∇f. f(x, y, z) = Correct: Your answer is correct. (b) Use part (a) to evaluate C ∇f · dr along the given curve C.

Answer 1

Answer:

a) x^2z+xy^2+3z^3

b) 11

Step-by-step explanation:

Look at https://www.math.ubc.ca/~malabika/teaching/ubc/fall08/math263/hw8-solution.pdf for explanation.