You are manufacturing guttering for homes. the piece of aluminum you use to
make the gutter is a rectangular piece with the length 20 inches longer than the
width. you are going to bend along the length, four-inch pieces on each side to
form the gutter. if the gutter's volume is 1152 cubic inches, what are the
dimensions of the piece of aluminum you used?

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Listed in the table is the percentage of students who chose each kind of juice at lunchtime. use the table to determine the measure of the central angle you would draw to represent orange juice in a circle graph

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