Let f(x,y)=g(x)h(y) where g and h are continuous functions on all real numbers such that g(x)=h(x+1) and R={(x,y) | 1 ≤ x ≤ 2, 2 ≤ y ≤3}. Consider the following statements (image) a. Only statement 2. is true b. All statements are false c. All statements are true d. Only 1 and 2 are true e. Only statement 3. is true f. Only 2 and 3 are true g. Only 1 and 3 are true h. Only statement 1. is
Let f(x,y)=g(x)h(y) where g and h are continuous functions on all real numbers such that g(x)=h(x+1) and R={(x,y) | 1 ≤ x ≤ 2, 2 ≤ y ≤3}. Consider the following statements (image) a. Only statement 2. is true b. All statements are false c. All statements are true d. Only 1 and 2 are true e. Only statement 3. is true f. Only 2 and 3 are true g. Only 1 and 3 are true h. Only statement 1. is
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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Let f(x,y)=g(x)h(y) where g and h are continuous functions on all real numbers such that g(x)=h(x+1) and R={(x,y) | 1 ≤ x ≤ 2, 2 ≤ y ≤3}.
Consider the following statements (image)
a. Only statement 2. is true
b. All statements are false
c. All statements are true
d. Only 1 and 2 are true
e. Only statement 3. is true
f. Only 2 and 3 are true
g. Only 1 and 3 are true
h. Only statement 1. is true
a. Only statement 2. is true
b. All statements are false
c. All statements are true
d. Only 1 and 2 are true
e. Only statement 3. is true
f. Only 2 and 3 are true
g. Only 1 and 3 are true
h. Only statement 1. is true
Transcribed Image Text:2
f(2,9)dA = ( [ g(2)dz) .
1.
R
: // f(x,»)dA = ( [ ° h(2)dz
2
R
2
// f(z, y)dA = ( / 9(z + 1)da) ( /, h(z – 1)dz
3.
R
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