14.5 homework - math224

14.5 homework - math224 - Math 224 Calculus III Name 14.4...

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Math 224 – Calculus III Name: 14.4 Homework – Please show all work on this sheet, partial credit is available. 1. (3 pts each) Find an equation of the tangent plane to the given surface at the specified point. (a) 2 ( , ) ln f x y x y at (2, 1, 0) (b) 2 yx z xe at (4, -2, 4) 2. Given the function 2 ( , ) cos f x y y x (a) (3 pts) Find the linearization at the point (0, 0) (b) (2 pts) Use (a) to estimate the quantity 2 0.01 cos (0.03)
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Math 224 – Calculus III 3.
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14.5 homework - math224 - Math 224 Calculus III Name 14.4...

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