Explain what is wrong with the following statement: "“The right sum with 20 rectangles ap- proximating the integral log x dx is 1 [log 2 + log 2.05+ log 2.10 +..+ log 2.95 + log 3]" 20 and explain how to correct the above equation to attain the correct approximation.
Explain what is wrong with the following statement: "“The right sum with 20 rectangles ap- proximating the integral log x dx is 1 [log 2 + log 2.05+ log 2.10 +..+ log 2.95 + log 3]" 20 and explain how to correct the above equation to attain the correct approximation.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
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![1. Explain what is wrong with the following statement: "The right sum with 20 rectangles ap-
proximating the integral log x dx is
1
[log 2 + log 2.05 + log 2.10 +...+ log 2.95 + log 3]"
20
and explain how to correct the above equation to attain the correct approximation.
2. Suppose
f (x) dx = -5 and
f(x) dx = 6.
Compute
2f(x) + (3x – 4)² dx.
3. (a) Show all functions satisfying u" (x)
twice with respect to x.
= 0 are linear by integrating the expression of u"(x)
(b) Suppose one such function satisfies u(-1) = 0 and u(1) = 5. Determine the exact form of
u(x).
4. Compute the following:
(a) L.
e dx
d
(b)
dx
f' (x) dx
5. Given
x2
f (x) :
if x < 1
1
if x > 1,
f(æ) da.
evaluate](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd1b542d2-f99f-41f7-9f8d-fbf0665f8261%2F202ba766-5177-4fb9-85ad-b00a30a1f744%2Fuew8zcp_processed.png&w=3840&q=75)
Transcribed Image Text:1. Explain what is wrong with the following statement: "The right sum with 20 rectangles ap-
proximating the integral log x dx is
1
[log 2 + log 2.05 + log 2.10 +...+ log 2.95 + log 3]"
20
and explain how to correct the above equation to attain the correct approximation.
2. Suppose
f (x) dx = -5 and
f(x) dx = 6.
Compute
2f(x) + (3x – 4)² dx.
3. (a) Show all functions satisfying u" (x)
twice with respect to x.
= 0 are linear by integrating the expression of u"(x)
(b) Suppose one such function satisfies u(-1) = 0 and u(1) = 5. Determine the exact form of
u(x).
4. Compute the following:
(a) L.
e dx
d
(b)
dx
f' (x) dx
5. Given
x2
f (x) :
if x < 1
1
if x > 1,
f(æ) da.
evaluate
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