Problem

Let $f(x, y)=\sqrt{125-3 x^{2}-2 y^{2}}$ Evaluate $f(1,3)$ Question Help: $\square$ Video Submit Question

Solution

Step 1 :The question is asking to evaluate the function \(f(x, y)=\sqrt{125-3 x^{2}-2 y^{2}}\) at the point (1,3). This means we need to substitute x=1 and y=3 into the function and simplify.

Step 2 :Substitute x = 1 and y = 3 into the function: \(f(1, 3)=\sqrt{125-3 (1)^{2}-2 (3)^{2}}\)

Step 3 :Simplify the expression to get the final answer: \(f(1, 3)\) = 10.198039027185569

Step 4 :Final Answer: The value of the function \(f(x, y)=\sqrt{125-3 x^{2}-2 y^{2}}\) at the point (1,3) is approximately \(\boxed{10.198}\).

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Source: https://solvelyapp.com/problems/fTto4GR1Jq/

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