Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Unitary Method
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3. Let p(x) = 2x3 +3x2-12x +1. Find the absolute extrema on the interval [-1,4]. Expres you answer as an ordered pair. Min-(Hile) Ma-(4,129) 4. Identify the interals whěre the following function is increasing or decreasing: f(x) = [2,2] Slope 5. Identify the intervals where the following function is concave up or concave down: f(x) = 2+ cos(x), [0, 2n] f"x)=-COslO)-- fw=-Sinx fX)--COSXTO, 27]-U Concaveup 6. Identify local extrema for the following function. give your answer as an ordered pair (you use the Eirst OR the Second Derivative Test): E2COS(X)Sinx) f(x) = sin (x), 0<x<I 心X=0 *や 7. For the following function f (x)= 2x*-8x2 a. State the domain. b. Find x and y intercepts, and determine end behavior of graph. Find critical points and intervals of increasing and/or decreasing, express local ext C. as ordered pairs. Find int ryals of concavity and express any inflection points as ordered pairs.
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Transcribed Image Text:3. Let p(x) = 2x3 +3x2-12x +1. Find the absolute extrema on the interval [-1,4]. Expres you answer as an ordered pair. Min-(Hile) Ma-(4,129) 4. Identify the interals whěre the following function is increasing or decreasing: f(x) = [2,2] Slope 5. Identify the intervals where the following function is concave up or concave down: f(x) = 2+ cos(x), [0, 2n] f"x)=-COslO)-- fw=-Sinx fX)--COSXTO, 27]-U Concaveup 6. Identify local extrema for the following function. give your answer as an ordered pair (you use the Eirst OR the Second Derivative Test): E2COS(X)Sinx) f(x) = sin (x), 0<x<I 心X=0 *や 7. For the following function f (x)= 2x*-8x2 a. State the domain. b. Find x and y intercepts, and determine end behavior of graph. Find critical points and intervals of increasing and/or decreasing, express local ext C. as ordered pairs. Find int ryals of concavity and express any inflection points as ordered pairs.
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