The simplified answer and the solution is listed below:
![\sqrt[4]{81 x^{8} y^{5} } \\ \\ = \sqrt[4]{(3)^{4} x^{8} y^{5} } \\ \\ = \sqrt[4]{(3 x^{2} y)^{4} y} \\ \\ =3 x^{2} y \sqrt[4]{y}](https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7B81%20x%5E%7B8%7D%20%20y%5E%7B5%7D%20%7D%20%20%5C%5C%20%20%5C%5C%20%0A%3D%20%5Csqrt%5B4%5D%7B%283%29%5E%7B4%7D%20x%5E%7B8%7D%20%20y%5E%7B5%7D%20%20%7D%20%20%5C%5C%20%20%5C%5C%20%0A%3D%20%5Csqrt%5B4%5D%7B%283%20x%5E%7B2%7D%20y%29%5E%7B4%7D%20y%7D%20%20%5C%5C%20%20%5C%5C%20%0A%3D3%20x%5E%7B2%7D%20y%20%5Csqrt%5B4%5D%7By%7D%20)
Solve the following system of equations graphically on the set of axes below.
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
We are given the following:
and
a). Recall that a level curve of a function f(x,y) is given by where c is a constant. That is, all the points in the set of interest to which the function applied to the points is exactly the value c.
Consider c = 80. So we get
which implies that (Graph 1).
We can also consider c=60, which gives us
which implies that . (Graph 2)
b)Recall that the gradient of a function f(x,y) is given by
In this case,
Thus, the gradient of T is given by
