The curves shown are and . What is the area of the shaded region? Give an exact answer.
The figure shows the area between and and the area between and . It is apparent that the piece over interval , which has area , is bigger than the piece over of area .
Verify the claim by determining the function . What is to two decimal places?
What theorem will assure us that there is a so that the area of the pieces to the left and right of have the same area?
Using the Newton-Raphson method, determine to 5 decimal places after a single step starting at .
By repeated use of Newton-Raphson, find to 5 decimal places.
The figure shows .
Evaluate the area of the shaded region giving your answer as a fraction.
Determine the area of the region bounded by the graphs of the functions and , where , and .
Determine, to the nearest hundredth, the area of the region bounded by the curve , the line and the -axis.