Consider the function defined on , where .
In Question No. , is homogeneous to what degree?
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2 marks, −1MathematicsMultivariable calculusHomogeneous functions and Euler's theoremEasyabout 1 min
JNU SIS 2017 Question 8: Multivariable calculus
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Consider the function U defined on ℝ², where U(x, y) = √(3x + y). In Question No. 7, U is homogeneous to what degree? (A) 1 (B) 3/2 (C) 2/3 (D) 1/2
Also written as: Consider the function U defined on R^2, where U(x, y) = sqrt(3x + y). In Question No. 7, U is homogeneous to what degree?
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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 JNU SIS 2017 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.