Use the function f plotted below to define g(x) = | f(t)dt y=f(x) -2 2 -2 Answer the following questions about the function g(x). a. Evaluate: g(0) • g(4) • g(-3) 2.
Use the function f plotted below to define g(x) = | f(t)dt y=f(x) -2 2 -2 Answer the following questions about the function g(x). a. Evaluate: g(0) • g(4) • g(-3) 2.
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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![14 of 14
Use the function f plotted below to define
g(x) = | f(t)dt
4
y=f(x)
2-
2
4
-2
Answer the following questions about the function g(x).
a. Evaluate:
• g(0)
• g(4)
• g(-3)
b. Evaluate:
• g'(-2)
• g"(-2)
c. On what interval(s) is the function g(x) concave up (you may assume the lines continue
to t00)?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa066112e-0246-43b2-92d7-6b2e1d8c1da2%2Fa040c3a6-5051-4d43-96ec-b5de6f949eff%2Fx0lyw9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:14 of 14
Use the function f plotted below to define
g(x) = | f(t)dt
4
y=f(x)
2-
2
4
-2
Answer the following questions about the function g(x).
a. Evaluate:
• g(0)
• g(4)
• g(-3)
b. Evaluate:
• g'(-2)
• g"(-2)
c. On what interval(s) is the function g(x) concave up (you may assume the lines continue
to t00)?
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Step 1
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, therefore, ,
so
Step 2
: So will be areas spanned by in from 0 to 4 i.e. area of the trapezoid:
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