Suppose f(z) has the following properties: f(1) = 5 f(4) = 6 [*1 (2) de = 11 zre z f'(z) dz = 15 [*2²f'(2) dx = 16 dz Evaluate: (16x - 5) f(z) dz = [
Suppose f(z) has the following properties: f(1) = 5 f(4) = 6 [*1 (2) de = 11 zre z f'(z) dz = 15 [*2²f'(2) dx = 16 dz Evaluate: (16x - 5) f(z) dz = [
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
![**Question 5**
Suppose \( f(x) \) has the following properties:
\[
f(1) = 5
\]
\[
f(4) = 6
\]
\[
\int_{1}^{4} f'(x) \, dx = 11
\]
\[
\int_{1}^{4} x \, f'(x) \, dx = 15
\]
\[
\int_{1}^{4} x^2 \, f'(x) \, dx = 16
\]
**Evaluate:**
\[
\int_{1}^{4} (16x - 5)f(x) \, dx = \, \text{[input box]}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F39ee8330-8a26-4cdb-b3ef-e7a0164aa18c%2Ffe954200-b78b-4372-a3b0-5283f4a313f8%2Fizf5ok_processed.png&w=3840&q=75)
Transcribed Image Text:**Question 5**
Suppose \( f(x) \) has the following properties:
\[
f(1) = 5
\]
\[
f(4) = 6
\]
\[
\int_{1}^{4} f'(x) \, dx = 11
\]
\[
\int_{1}^{4} x \, f'(x) \, dx = 15
\]
\[
\int_{1}^{4} x^2 \, f'(x) \, dx = 16
\]
**Evaluate:**
\[
\int_{1}^{4} (16x - 5)f(x) \, dx = \, \text{[input box]}
\]
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