In: Math
1, Using rectangles whose height is given by the value of the function at the midpoint of the rectangle's base, estimate the area under the graph using the first two and then four rectangles.
f(x)= x3 between x=2 and x=4
A, using two rectangles to estimate, the area under f(x) is approximately = ---------?
B) using four rectangles to estimate, the area under f(x) is approximately= ----------?
2, Using rectangles whose height is given by the value of the function at the midpoint of the rectangle's base (the midpoint rule), estimate the area under the graph of the following function, using two and then four rectangles.
y= 100 - x2 between x=-10 and 10
A) For two rectangles, area =------?
B) For four rectangles, area= ------?