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plugin-e5_prac_S2010.pdf9

# plugin-e5_prac_S2010.pdf9 - M408D Practice problems for...

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Unformatted text preview: M408D Practice problems for Exam #5 Directions . Indicate the correct answer for each problem by filling in the appropriate space, as in (A) ( • ) (C) (D) (E). 1) Which of the following figures shows a few level sets for the function f ( x, y ) = ye − x + 1? (A) x y (B) x y (C) x y (D) x y (E) x y 2) Consider a function f ( x, y ) with level sets as shown in the figure below. Which one of the following statements is false ? 5 7 9 11 Minus 1 1 2 3 x Minus 2 Minus 1 1 2 y (A) f (2 , 0) ≈ 7. (B) ∇ f (2 , 0) points (approx) along i . (C) D j f (1 , 1) < 0. (D) f x (2 , 0) > 0. (E) ∇ f (1 , − 1) points (approx) along i − j . 3) The volume of a cylinder is V = πr 2 h . If r = 4cm and h = 2cm with possible measurement errors of 0 . 1cm in r and . 2cm in h , then by linear approximation the possible error in V is: (A) 43 π 9 . (B) 36 π 5 . (C) 32 π 7 . (D) 24 π 5 . (E) 16 π 3 ....
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plugin-e5_prac_S2010.pdf9 - M408D Practice problems for...

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