A.P. Calculus Area & Volume Takehome - 40 pts Name Pd. 1) Find the area between the curves. Show the graphs of the curves showing your window. You must show the algebraic work in finding their intersections. Write the integral that represents the area. You may then use the calculator to find the answer to 3 decimal places. (4 pts.) y-16-4x-x2 and y=4-3x Integral Scale [, ] [ ] Area = 2) Find the area between the curves on the interval [0, 1]. Show the graphs in the window below. You may use the calculator in finding their intersections. Write the integral that represents the area. You may then use the calculator to find the answer to 3 decimal places. (5 pts.) Integral- y sinx and y = cos 4x Scale [0, 1] [-1, 1] Area = 3. Find the area between the following function and the line tangent to the curve at the given x-value. Work must be shown in finding the tangent line and the intersections. Calculators may be used to verify answers. (5 pts.) y = (1-x)³ at x=-1 Integral = Area = a