Final answer:
After substituting the point p(3, -1, 1) into the equation f(x, y, z), we find that the value of f(3, -1, 1) is -6. The additional values for 'u' provided do not impact the calculation of this function value.
Step-by-step explanation:
To find the value of the function f(x, y, z) = x²yz - xyz⁵ at the point p(3, -1, 1), we substitute the coordinates of the point into the function:
f(3, -1, 1) = 3²(-1)(1) - 3(-1)(1)⁵
Solving the equation gives us:
f(3, -1, 1) = 9(-1)(1) - 3(-1)(1)
This simplifies to:
f(3, -1, 1) = -9 + 3
Finally, we get:
f(3, -1, 1) = -6
The values u = 0, 4/5, -3/5 seem irrelevant to the calculation of the function at point p(3, -1, 1).