Question

Let F(x, y, z) = √y - √(x - 3z).
(a) Evaluate F(15, 4, 2).

Answer 1

To evaluate the function F(x, y, z) at (15, 4, 2), we perform a series of substitutions and simplifications leading to the final answer of -1.

Step-by-step explanation:

The student has been asked to evaluate the function F(x, y, z) = √y - √(x - 3z) at a specific point. The provided point is (15, 4, 2). To compute this, we need to follow these calculation steps:

1. Substitute the given values into the function: F(15, 4, 2) = √4 - √(15 - 3×2).
2. Simplify the terms within the square roots: √4 - √(15 - 6).
3. Complete the arithmetic inside the square root: √4 - √9.
4. Take the square root of each number: 2 - 3.
5. Complete the subtraction: 2 - 3 = -1.

So, Evaluating F at (15, 4, 2) gives a result of -1.