Thread: Calculus Problem

83. What is the area of the region in the first quadrant enclosed by the graphs of y = cosx, y = x,and the y-axis?



(A) 0.127
(B) 0.385
(C) 0.400
(D) 0.600
(E) 0.947

Originally Posted by frozenflames

83. What is the area of the region in the first quadrant enclosed by the graphs of y = cosx, y = x,and the y-axis?



(A) 0.127
(B) 0.385
(C) 0.400
(D) 0.600
(E) 0.947

First sketch the required area, see attachment. The required area is the
shaded region in the figure.

Just counting squares indicates that the area is close to 0.4, but we
will find this area by integration. This is:



where is the solution of in .
Now using the bisection method gives that

So we seek:



RonL

I dont quite understand

Originally Posted by frozenflames

I dont quite understand

I had not finished typing the solution so look again

RonL