Final answer:
To find the value of f(1, 3), substitute x = 1 and y = 3 into the function f(x, y) = x²y(4x - y²) to get -15.
Step-by-step explanation:
To find the value of f(1, 3), we substitute the values of x = 1 and y = 3 into the function f(x, y) = x²y(4x - y²).
So, f(1, 3) = (1)²(3)(4(1) - (3)²) = 1(3)(4 - 9) = 3(-5) = -15.
Therefore, the value of f(1, 3) is -15.