9. Let g be the function that satisfies a(0) = 0 and whose derivative satisfies L8(x) = 2[x]. ) Owhat's the relatienechip beucen whatI khewaned %3D (A) Find expressions for g(x) and g"(x). what I need 7, 12x x>0 メo (B) Find the x-coordinate, if any, of each point of inflection of the graph of y = g(x). Explain your reasoning.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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9. Let g be the function that satisfies a(0) = 0 and whose derivative satisfies
L8'(x) = 2[x]. ) Owhat's the relatienechip beducen whats khewand
(A) Find expressions for g(x) and g"(x). what I need 7,
clurivative
-2x
(2x
メ<○
2 x>0
(B) Find the x-coordinate, if any, of each point of inflection of the graph of y =
g(x). Explain your reasoning.
The point of inflection was at O.Tho
À because ito where
g"(x) is
is
Transcribed Image Text:9. Let g be the function that satisfies a(0) = 0 and whose derivative satisfies L8'(x) = 2[x]. ) Owhat's the relatienechip beducen whats khewand (A) Find expressions for g(x) and g"(x). what I need 7, clurivative -2x (2x メ<○ 2 x>0 (B) Find the x-coordinate, if any, of each point of inflection of the graph of y = g(x). Explain your reasoning. The point of inflection was at O.Tho À because ito where g"(x) is is
(C) Let h(x) = S VI+ 4t² dt. For x 2 0, h(x) is the lengh of the graph of g
from t = 0 to t x. Use Euler's method, starting at x 0 with two steps
of equal size, to approximate h(4).
%3D
%3D
Step
(D) Find the value of f g'(x) cos x dx.
U= COSX
COS X
dus-sinr
Transcribed Image Text:(C) Let h(x) = S VI+ 4t² dt. For x 2 0, h(x) is the lengh of the graph of g from t = 0 to t x. Use Euler's method, starting at x 0 with two steps of equal size, to approximate h(4). %3D %3D Step (D) Find the value of f g'(x) cos x dx. U= COSX COS X dus-sinr
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