Detailed solution to Problem Set 6 (non-textbook part) Exercise 1
- Question:
- Evaluate
3x dx +
4x2y dy
at (x, y) = (2, 6)
along
⟨dx, dy⟩ =
⟨0.003, 0.005⟩.
- Solution:
- (3x dx + 4x2y dy)|(x, y)=(2, 6), ⟨dx, dy⟩=⟨0.003, 0.005⟩ =
3(2)(0.003) + 4(2)2(6)(0.005) = 0.498.
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