III. A. Test the given function for its homogeneity. If it is homogeneous function, give its degree. 5. f(x,y) = 5x³ – 4y³ 6. f(x,y)=(5x³ — 4y³)exp(3x) + 4xy² 7. f(x, y) = x² cot (3x) &. f(x,y)=x]nx-ylnx 1. f(x,y) = x - 2y 2. f(x,y) = x³y-4y² + + xy 3. f(,0)=rln(sin 8) – rln(cos 8) 5s - 4t s-4t 4. f(s, t) =

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.1: Antiderivatives
Problem 2E
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Solve for number 8 and find its homogeneity using lambda sign

III. A. Test the given function for its homogeneity. If it is homogeneous function, give its degree.
1. f(x,y) = x - 2y
5. f(x, y) = 5x³ - 4y³
2. f(x,y) = x³y- 4y² + xy
6. f(x,y)=(5x³. -4y³)exp(³x)+ 4xy2²
3. f(,0)=rln(sin 8) - r ln(cos 8)
7. f(x,y) = x² cot
4. f(s, t) =
8. f(x, y) = xnx-ylnx
5s-4t
s-4t
Transcribed Image Text:III. A. Test the given function for its homogeneity. If it is homogeneous function, give its degree. 1. f(x,y) = x - 2y 5. f(x, y) = 5x³ - 4y³ 2. f(x,y) = x³y- 4y² + xy 6. f(x,y)=(5x³. -4y³)exp(³x)+ 4xy2² 3. f(,0)=rln(sin 8) - r ln(cos 8) 7. f(x,y) = x² cot 4. f(s, t) = 8. f(x, y) = xnx-ylnx 5s-4t s-4t
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