I have to find the critical points of this function of two variables
4%2By%5E4-16%28x%2By%29%5E2%5C%5C" id="TexFormula1" title="\\f(x,y)=x^4+y^4-16(x+y)^2\\" alt="\\f(x,y)=x^4+y^4-16(x+y)^2\\" align="absmiddle" class="latex-formula">, for this we use the gradient method which equals to ZERO the first partial derivatives. After clearing both equations we should find the following points: P (__, 0), Q (4, __), R (4, __) My problem is that I cannot clear the following equations:
Is there any way to deal with these equations of degree n?
Is there any way to deal with these equations of degree n?
1 answer:
You might be interested in
Answer:
The strength coefficient is and the strain-hardening exponent is
Explanation:
Given the true strain is 0.12 at 250 MPa stress.
Also, at 350 MPa the strain is 0.26.
We need to find and the
.
We will plug the values in the formula.
We will solve these equation.
plug this value in
Taking a natural log both sides we get.
Now, we will find value of
So, the strength coefficient is and the strain-hardening exponent is
.