2. Suppose you know that S, 1f(x) dx = 4.5, L 1g(x) dx = 13, and f and g are positive on [0, 15]. (a) Use the sum and constant multiple rules to compute f, 1(5f(x) – 3g(x)) dr =. Be sure to explain which rules you are using and how you are using them. (b) Explain using geometry why your computation in part (a) makes sense. (As part of your answer, you may be explaining the sum and constant multiple rules.) (c) Can you explain how to compute , 1(3f(x)g(x)) dx using the information given? Why or why not?
2. Suppose you know that S, 1f(x) dx = 4.5, L 1g(x) dx = 13, and f and g are positive on [0, 15]. (a) Use the sum and constant multiple rules to compute f, 1(5f(x) – 3g(x)) dr =. Be sure to explain which rules you are using and how you are using them. (b) Explain using geometry why your computation in part (a) makes sense. (As part of your answer, you may be explaining the sum and constant multiple rules.) (c) Can you explain how to compute , 1(3f(x)g(x)) dx using the information given? Why or why not?
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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Can you help with part B only
![2. Suppose you know that
• S 1f(x) dx = 4.5,
S 1g(x) dx = 13, and
• f and g are positive on [0, 15].
%3D
(a) Use the sum and constant multiple rules to compute 1(5f(x) – 3g(r)) dr =.
Be sure to explain which rules you are using and how you are using them.
(b) Explain using geometry why your computation in part (a) makes sense. (As part
of your answer, you may be explaining the sum and constant multiple rules.)
(c) Can you explain how to compute , 1(3f(x)g(x)) dx using the information given?
Why or why not?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F35e09729-de31-4f5c-b775-013c3db5e704%2F37da0ec9-18ac-4b06-98f8-eeb00f8094df%2Fll05vhf_processed.png&w=3840&q=75)
Transcribed Image Text:2. Suppose you know that
• S 1f(x) dx = 4.5,
S 1g(x) dx = 13, and
• f and g are positive on [0, 15].
%3D
(a) Use the sum and constant multiple rules to compute 1(5f(x) – 3g(r)) dr =.
Be sure to explain which rules you are using and how you are using them.
(b) Explain using geometry why your computation in part (a) makes sense. (As part
of your answer, you may be explaining the sum and constant multiple rules.)
(c) Can you explain how to compute , 1(3f(x)g(x)) dx using the information given?
Why or why not?
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