Your friend just purchased a new sports car for 32,000 dollars. He received 6,000 dollars for his trade in and he used that mone
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Answer:
We have the coldest value of temperature . and the hottest value is
.
Step-by-step explanation:
We need to take the derivative with respect of x and y, and equal to zero to find the local minimums.
The temperature equation is:
Let's take the partials derivatives.
So, we can find the critical point (x,y) of T(x,y).
The critical point is (3/4,0) so the temperature at this point is:
Now, we need to evaluate the boundary condition.
We can solve this equation for y and evaluate this value in the temperature.
Now, let's find the critical point again, as we did above.
Evaluating T(x,y) at this point, we have:
Now, we can see that at point (3/4,0) we have the coldest value of temperature . On the other hand, at the point
we have the hottest value of temperature, it is
.
I hope it helps you!