Question

Given f(x, y)=50 x+90 y-4 x²-5 y²-x y Evaluate f(1,2)\f(1,2)=

Answer 1

To evaluate the function f(x, y) = 50x + 90y - 4x² - 5y² - xy at the point (1, 2), you substitute the values of x and y into the function and perform the arithmetic to find the result f(1, 2) = 204.

Step-by-step explanation:

The student asks to evaluate the function f(x, y) = 50x + 90y - 4x² - 5y² - xy at the point (1, 2). To solve this, we substitute x with 1 and y with 2 into the function:

f(1, 2) = 50(1) + 90(2) - 4(1)² - 5(2)² - (1)(2)

Calculating the values step-by-step:

• 50(1) = 50
• 90(2) = 180
• 4(1)² = 4
• 5(2)² = 5(4) = 20
• (1)(2) = 2

Now, we sum all these values:

f(1, 2) = 50 + 180 - 4 - 20 - 2 = 204

So, the function f evaluated at (1, 2) gives us 204.