Aroom has a cathedral ceiling. if the walls in the room are 10 feet high and the ceiling is 18 feet high in the center of the room that is 35 feet wide, find the slope of the left side of the ceiling. express your answer as a decimal rounded to two places.

7x+8y=-18, 4x-9y=-3 solve the system of equations

The length of each stair is 11 inches. what is the rise, r, for each stair? round to the nearest inch. 2 inches 7 inches 17 inches 24 inches

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