Answer the following with the correct letter. If the answer is not on the choices given, indicate the correct answer. Show formal solution comprehensively and legibly (only applicable to computational items).
Answer the following with the correct letter. If the answer is not on the choices given, indicate the correct answer. Show formal solution comprehensively and legibly (only applicable to computational items).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Answer the following with the correct letter. If the answer is not on the choices given, indicate the correct answer. Show formal solution comprehensively and legibly (only applicable to computational items).
![4. This refers to a certain kind of approximation of an integral by a finite sum. The sum
is calculated by partitioning the region into shapes, usually rectangles, then calculating the area
for each and finally adding all these areas together.
a. Simpson's rule
c. Riemann sum
d. Euler sum
b. Lebesgue sum
5. Which of the following properties of definite integrals is false?
a. [f(x) + g(x)]dx = f(x) dx + g(x) dx
b. ff(x) dx = -f(x) dx
c. ff(x) dx = f(x) dx + f f (x) dx
d. ff(x) g(x) dx = f(x) dx f g(x) dx
-1 3
1
6. Evaluate: 20/2dz
3z
-20 In 1201
-1
-20
a. 3e-1 +3e +
C. 3e
3e +In 1201
3
3
b. Зе-1
3e-20
In 1201
d. -3e-¹-3e-20 + In |20|
3
3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2b9e1b16-4440-431e-b9fc-dd52fdad0e5a%2F440607ba-d3a6-4795-9203-2aad61aa8bf1%2Fcygxzcq_processed.png&w=3840&q=75)
Transcribed Image Text:4. This refers to a certain kind of approximation of an integral by a finite sum. The sum
is calculated by partitioning the region into shapes, usually rectangles, then calculating the area
for each and finally adding all these areas together.
a. Simpson's rule
c. Riemann sum
d. Euler sum
b. Lebesgue sum
5. Which of the following properties of definite integrals is false?
a. [f(x) + g(x)]dx = f(x) dx + g(x) dx
b. ff(x) dx = -f(x) dx
c. ff(x) dx = f(x) dx + f f (x) dx
d. ff(x) g(x) dx = f(x) dx f g(x) dx
-1 3
1
6. Evaluate: 20/2dz
3z
-20 In 1201
-1
-20
a. 3e-1 +3e +
C. 3e
3e +In 1201
3
3
b. Зе-1
3e-20
In 1201
d. -3e-¹-3e-20 + In |20|
3
3
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