Calculus
posted by alamgir .
I am doing the AP calculus review, these are the questions I have no Idea on how to do:
1. if 0<= k <=pi/2 and the area under the curve ycosx from x=k to x=pi/2 is 0.2, then k=
2. let F(x) be an antiderivative of (ln x)^4/x If F(1)=0, then F(9)=
3. What is the equation of the line tangent to the graph of f(x)=x^4+3x^2 at the point where f'(x)=1?
4. the base of a solid is a region in the first quadrant bounded by the xaxis, the yaxis, and the line x+2y=8, as shown abobe ( a graph of right triangle with these point (0,0), (0,4), (8,0) in the first quadrant ). If cross sections of the solid perpendicular to the xaxis are semicircles, what is volume of the solid?
Table
x 2 5 7 8
f(x) 10 30 40 10
5. The function f is continuous on the closed interval [2, 8] and has values that are given in the table above. Using the subintervals [2,5], [5,7], [7,8], what is the trapezoidal approximation of integral of f(x) dx from x=2 to x=8 ?
4.134.041

limx>3