an open box will be made from a rectangular piece of cardboard that is 8 in. by 10 in. the box will be cut on the dashed red lines, removing the corners, and then folded up on the dotted lines. the box needs to have the maximum volume possible. how long should the cuts be?

a) 1.5 in.
b) 5.8 in.
c) 52 in.
d) 80 in.

To find the extreme values of a function f(x.y) on a curve x-x(t), y y(t), treat f as a function of the single variable t and use the chain rule to find where df/dt is zero. in any other single-variable case, the extreme values of f are then found among the values at the critical points (points where df/dt is zero or fails to exist), and endpoints of the parameter domain. find the absolute maximum and minimum values of the following function on the given curves. use the parametric equations x=2cos t, y 2 sin t functions: curves: i) the semicircle x4,y20 i) the quarter circle x2+y-4, x20, y20 b, g(x,y)=xy

What is the prime factorization of 230

41/17 as a decimal rounded to the nearest hundredth