Let x =lenght, y = width, and z =height
<span>The volume of the box is equal to V = xyz </span>
<span>Subject to the surface area </span>
<span>S = 2xy + 2xz + 2yz = 64 </span>
<span>= 2(xy + xz + yz) </span>
<span>= 2[xy + x(64/xy) + y(64/xy)] </span>
<span>S(x,y)= 2(xy + 64/y + 64/x) </span>
<span>Then </span>
<span>Mx(x, y) = y = 64/x^2 </span>
<span>My(x, y) = x = 64/y^2 </span>
<span>y^2 = 64/x </span>
<span>(64/x^2)^2 = 64 </span>
<span>4096/x^4 = 64/x </span>
<span>x^3 = 4096/64 </span>
<span>x^3 = 64 </span>
<span>x = 4 </span>
<span>y = 64/x^2 </span>
<span>y = 4 </span>
<span>z= 64/yx </span>
<span>z= 64/16 </span>
<span>z = 4 </span>
<span>Therefor the dimensions are cube 4.</span>
Answer:
I'm pretty sure it is c
Step-by-step explanation:
Answer:
<h2>
</h2>
Step-by-step explanation:
Write 
as a sum
Write X as a sum
Factor out 
from the expression
Factor out 11x from the expression
Factor out 12 from the expression
Factor out X - 1 from the expression
Write 11x as a sum
Factor out 2x from the expression
Factor out 3 from the expression
Factor out X + 4 from the expression
Reduce the fraction with X + 4
Multiply the parantheses
Collect like terms
Hope this helps...
Good luck on your assignment...
Answer:
6
Step-by-step explanation:
5×+23= 53
5×+23-23= 53-23
5x=30
30÷5=6
