What is the degree of homogeneity of ?
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4 marks, −1MathematicsMultivariable calculusHomogeneous functions and Euler's theoremModerateabout 1 min
CUET-PG 2023 Shift 2 Question 32: Multivariable calculus
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What is the degree of homogeneity of f(x,y)=x³/y+y³/x? (A) 3 (B) 1 (C) 2 (D) 6
Also written as: What is the degree of homogeneity of f(x,y)=x^3/y+y^3/x?
Multivariable calculus has come up 32 times in 7 exams since 2007.
What this question tests
This question is on Homogeneous functions and Euler's theorem, part of Multivariable calculus in Mathematics.
Functions that scale in a fixed way when all inputs scale, and the identity this gives.
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Question from the CUET-PG 2023 Shift 2 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.