Question

calculus help!!
Find the area bounded by f(x)= 16-x^2 and the x axis from x=1 to x=3 using 4 rectangles?

Answer 1

First determine the position of the parabola,

the turning point is given by the solution of the first derivative

\(f'(x)= -2x=0\rightarrow x=0 \)

\(f(0)= 16-(0)^2=16 \)



You can find the area of this geometrically (but you need to draw it neatly), or analytically.

Answer 2

Woops D: I think your drawing is a little off there.