Find the derivative Use a finite approximation to estimate t

Find the derivative. Use a finite approximation to estimate the area under the graph of the given function on the stated interval as instructed. f(x) = x2 between x = 0 and x = 2 using the midpoint sum with two rectangles of equal width. 4.5 2.5 5 1

Solution

11) Using fundamental theorem of calculus:

y\' = 1/(2x+5)

answer C.

12)

S = (1-0)*f(0.5) + (2-1)*f(1.5) = (1/4) + (9/4) = 10/4 = 2.5

answer B.