The volume of a rectangular prism (shown below) is 48x^3+56x^2+16x. Answer the following questions: 1)What are the dimensions of the prism?
2) If x=2, use the polynomial 48x^3+56x^2+16x to find the volume of the prism.
3) If x=2, use the factors found in part a to calculate each dimension.
4) Using the dimensions found in part c, calculate the volume.

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

Assume that 1400 births are randomly selected and 1378 of the births are girls. use subjective judgment to describe the number of girls as significantly high, significantly low, or neither significantly low nor significantly high. choose the correct answer below. a. the number of girls is neither significantly low nor significantly high. b. the number of girls is significantly high. c. the number of girls is significantly low. d. it is impossible to make a judgment with the given information.

Which of the following is true for the relation f(x)=2x^2+1