The regions bounded by the graphs of y=4x and y=x-x^2+x^3 are shaded in the figure above. What is the sum of the areas of the shaded regions?​

If h(x) = f[tex]h(x) = f[/tex] ° [tex]g) (x)[/tex] and [tex]h(x) = \sqrt[3]{x+3}[/tex], find [tex]g(x)[/tex] if [tex]f(x) = \sqrt[3]{x +2}[/tex] ·

The triangle shown has a hypotenuse with a length of 13 feet. the measure of angle a is 20 degrees. and the measure of angle b is 70 degrees. which of the following is closest to the length, in feet, of line segment ac? no need to use a calculator to find the trig numbers. each function is listed below. 4.4 5 12.2 35.7

Maci and i are making a small kite. two sides are 10". two sides are 5". the shorter diagonal is 6". round all your answers to the nearest tenth. 1. what is the distance from the peak of the kite to the intersection of the diagonals? 2. what is the distance from intersection of the diagonals to the top of the tail? 3. what is the length of the longer diagonal?