IITM BS Question 40 - Week 9 Practice

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Q40Numerical3 Marks1 Sep 2024

Consider the following function: f(x, y) = (x^3 - y^3) / (sqrt(x) - sqrt(y)) if x != y and x >= 0 and y >= 0; and f(x, y) = c otherwise. For what value of c is the function f continuous at (0, 0)?

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Q40

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1 Sep 2024

Mathematics 2 · Week 9

Q40.Consider the following function: f(x, y) = (x^3 - y^3) / (sqrt(x) - sqrt(y)) if x != y and x >= 0 and y >= 0; and f(x, y) = c otherwise. For what value of c is the function f continuous at (0, 0)?

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00:00

Q40Numerical3 Marks1 Sep 2024

Consider the following function: f(x, y) = (x^3 - y^3) / (sqrt(x) - sqrt(y)) if x != y and x >= 0 and y >= 0; and f(x, y) = c otherwise. For what value of c is the function f continuous at (0, 0)?

Your answer

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Q40

00:00

1 Sep 2024

Mathematics 2 · Week 9

Q40.Consider the following function: f(x, y) = (x^3 - y^3) / (sqrt(x) - sqrt(y)) if x != y and x >= 0 and y >= 0; and f(x, y) = c otherwise. For what value of c is the function f continuous at (0, 0)?

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