Chapter42004

Calculus: Early Transcendental Functions

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Chapter 4 Test October 25, 2004 Name 1. f H x L = x 1 ccc 3 I 1 x 2 ccc 3 M Find all local extrema for the function H x values only L . 2. f H x L = 2 sin x + cos 2 x Find all critical values for the function on the interval @ 0, 2 π D . This might help : sin 2 x = 2 sin x cos x 3. f H x L = x cccccccccccccccc x 2 + 2 Find where the graph of this function is concave up and concave down. 4. f H x L = x 3 8x 5 Find the number H s L c that satisfies the Mean Value Theorem on the interval @ 1, 4 D .
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5. f H x L = x 2 ccc 3 H x 2 8 L Find where the function is increasing and decreasing, and find the absolute extrema for this function H x values only L . 6. f H x L = x 2 3I fx 1 = 2, use Newton ± s Method to find x 2 and x 3 . 7. f H x L = 1 cccc 2 x sin x Use the Second Derivative Test to find all local extrema on the interval @ 0, 2 π D . 8. f H x L = H 12 2x L 1 ccc 3 Find the linearization L H x L for f H x L at a = 2.
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9. Find dy if y = csc J x ccccccc 3 N , then evaluate dy for x = π cccc 2 and dx = 1 cccc 5 .
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Chapter42004 - Chapter 4 Test 1 2 3 4 f HxL = x 3 I1 x 3 M 1 2 Name Find all local extrema for the function Hx values onlyL f HxL = 2 sin x cos 2 x

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