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5. Given that a function f(x) satisfies the following: • The average rate of change from x = 10 to x = 20 is 15, • The average rate of change from x = 20 to x = 30 is 5, and • The average rate of change from x = 30 to x = 40 is -2. (a) Find the average rate of change of f(x) from x = 10 to x = 40. (b) Determine the number p so the function g(x) = f(x) + px has an average rate of change of 23 between x = 10 and x = 30.

5. Given that a function f(x) satisfies the following: • The average rate of change from x = 10 to x = 20 is 15, • The average rate of change from x = 20 to x = 30 is 5, and • The average rate of change from x = 30 to x = 40 is -2. (a) Find the average rate of change of f(x) from x = 10 to x = 40. (b) Determine the number p so the function g(x) = f(x) + px has an average rate of change of 23 between x = 10 and x = 30.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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5. Given that a function f(x) satisfies the following: • The average rate of change from x = • The average rate of change from x = 20 to x = 30 is 5, and • The average rate of change from x = 30 to x = 40 is -2. (a) Find the average rate of change of f(x) from x = = 10 to x = 40. 10 to x = 20 is 15, (b) Determine the number p so the function g(x) = f(x) + px has an average rate of change of 23 between x = 10 and x 30. =
Transcribed Image Text:5. Given that a function f(x) satisfies the following: • The average rate of change from x = • The average rate of change from x = 20 to x = 30 is 5, and • The average rate of change from x = 30 to x = 40 is -2. (a) Find the average rate of change of f(x) from x = = 10 to x = 40. 10 to x = 20 is 15, (b) Determine the number p so the function g(x) = f(x) + px has an average rate of change of 23 between x = 10 and x 30. =
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