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Suppose f and f' are continuous, with the values shown. 8 10 -2 5 1 If I f(x) 1 ƒ'(x) || 4 10 f(2) dx = 19, then 10 [₁ x f'(x) dx =

Suppose f and f' are continuous, with the values shown. 8 10 -2 5 1 If I f(x) 1 ƒ'(x) || 4 10 f(2) dx = 19, then 10 [₁ x f'(x) dx =

Calculus: Early Transcendentals
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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**Question 9:** Suppose \( f \) and \( f' \) are continuous, with the values shown in the table below: \[ \begin{array}{|c|c|c|} \hline x & 8 & 10 \\ \hline f(x) & 1 & -2 \\ \hline f'(x) & 4 & 5 \\ \hline \end{array} \] If \(\int_{8}^{10} f(x) \, dx = 19\), then \(\int_{8}^{10} x \cdot f'(x) \, dx = \) [blank for answer].
Transcribed Image Text:**Question 9:** Suppose \( f \) and \( f' \) are continuous, with the values shown in the table below: \[ \begin{array}{|c|c|c|} \hline x & 8 & 10 \\ \hline f(x) & 1 & -2 \\ \hline f'(x) & 4 & 5 \\ \hline \end{array} \] If \(\int_{8}^{10} f(x) \, dx = 19\), then \(\int_{8}^{10} x \cdot f'(x) \, dx = \) [blank for answer].
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