Suppose that the function f has continuous first and second derivatives. The following table provides values for f, the first derivative of f, and the second derivative of fxf(x)f'(x)f''(x)1f(1)=3f'(1)=2f''(1)=82f(2)=1f'(2)=4f''(2)=73f(3)=7f'(3)=1f''(3)=10Find the exact value of: 1∫ 3 x(f''(x)) dx (4pts) Suppose that the function ƒ has continuous first and second derivatives. The following tableprovides values for f, the first derivative of f, and the second derivative of f.f (x)f(1) = 3f (2) =1f (3) = 7f'(x)f'(1) =2f"(2) = 4f'(3) =1f"(x)f"(1) = 8f"(2) =7f"(3) =10123Find the exact value of: [x(f"(x))dx.1

Name: Suppose that the function f has continuous first and second derivative
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Description: Suppose that the function f has continuous first and second derivatives. The following table provides values for f, the first derivative of f, and the second derivative of fxf(x)f'(x)f''(x)1f(1)=3f'(1)=2f''(1)=82f(2)=1f'(2)=4f''(2)=73f(3)=7f'(3)=1f''

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Math

Calculus

(4pts) Suppose that the function f has continuous first and second derivatives. The following table provides values for f, the first derivative of f, and the second derivative of f. f(x) f (1) = 3 f(2) =1 f (3) = 7 f'(x) f'(1) = 2 f'(2) = 4 f'(3) =1 f"(x) f"(1) = 8 f"(2) =7 f"(3) =10 1 2 3 3 Find the exact value of: [x(f"(x))dx . 1

(4pts) Suppose that the function f has continuous first and second derivatives. The following table provides values for f, the first derivative of f, and the second derivative of f. f(x) f (1) = 3 f(2) =1 f (3) = 7 f'(x) f'(1) = 2 f'(2) = 4 f'(3) =1 f"(x) f"(1) = 8 f"(2) =7 f"(3) =10 1 2 3 3 Find the exact value of: [x(f"(x))dx . 1

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter4: Calculating The Derivative

Section4.CR: Chapter 4 Review

Problem 2CR: Determine whether each of the following statements is true or false, and explain why. The derivative...

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x	f(x)	f'(x)	f''(x)
1	f(1)=3	f'(1)=2	f''(1)=8
2	f(2)=1	f'(2)=4	f''(2)=7
3	f(3)=7	f'(3)=1	f''(3)=10