Question

Let f(x, y)=√(175-3 x²-4 y²). Evaluate f(4,3)

Answer 1

To evaluate f(4, 3) for the function f(x, y) = √(175 - 3x² - 4y²), substitute the values into the equation which simplifies to √91. The value of f(4, 3) is approximately 9.54.

Step-by-step explanation:

The student has asked to evaluate the function f(x, y) = √(175 - 3x² - 4y²) at the point (4,3). To find the value of this function, we simply substitute x with 4 and y with 3 into the equation and calculate:

f(4, 3) = √(175 - 3(4)² - 4(3)²)

= √(175 - 3(16) - 4(9))

= √(175 - 48 - 36)

= √(91)

The result is the square root of 91. Therefore, f(4,3) equals √91, or approximately 9.54.