110–113. Functions from higher derivatives Find the function F that satisfies the following differential equations and initial conditions. 110. F"(x) = 1, F" (0) = 3, F(0) = 4 %3D 111. F"(x) = cos x, F' (0) = 3, F(7) = 4 112. F"(x) = 4x, F" (0) = 0, F' (0) = 1, F(0) = 3 113. F"(x) = 672r + 24x, F"(0) = 0, F' (0) = 2, F (0) = 1 %3D

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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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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110–113. Functions from higher derivatives Find the function F that
satisfies the following differential equations and initial conditions.
110. F"(x) = 1, F" (0) = 3, F(0) = 4
%3D
111. F"(x) = cos x, F' (0)
= 3, F(7) = 4
112. F"(x) = 4x, F" (0) = 0, F' (0) = 1, F(0) = 3
113. F"(x) = 672r + 24x, F"(0) = 0, F' (0) = 2, F (0) = 1
%3D
Transcribed Image Text:110–113. Functions from higher derivatives Find the function F that satisfies the following differential equations and initial conditions. 110. F"(x) = 1, F" (0) = 3, F(0) = 4 %3D 111. F"(x) = cos x, F' (0) = 3, F(7) = 4 112. F"(x) = 4x, F" (0) = 0, F' (0) = 1, F(0) = 3 113. F"(x) = 672r + 24x, F"(0) = 0, F' (0) = 2, F (0) = 1 %3D
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