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In the following cases, determine whether the following function is homogeneous or not. If it is so, find the degree. f(x, y) = x2y + 6x3 + 7 - Mathematics

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प्रश्न

In the following, determine whether the following function is homogeneous or not. If it is so, find the degree.

f(x, y) = x2y + 6x3 + 7

बेरीज

उत्तर

f(λx, λy) = λ3x2y + 6λ3x3 + 7

There is no common λ in this equation.

∴ It is not homogeneous

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Linear Approximation and Differential of a Function of Several Variables
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 8: Differentials and Partial Derivatives - Exercise 8.7 [पृष्ठ ८६]

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सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 12 TN Board
पाठ 8 Differentials and Partial Derivatives
Exercise 8.7 | Q 1. (i) | पृष्ठ ८६

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