5. Identify the intervals where the following function is concave up or conc f(x) = 2+ cos(x), [0, 2n] fW- - Sinx fx)--COSX =-C Concaveup %3D L0, 27 6. Identify local extrema for the following function. give your answer as ar

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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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.
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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