14. Find an approximation for the definite integral by using…

14. Find an approximation for the definite integral by using the first four non-zero terms of a series of your choice. Show steps and work. Because I did not expect people to memorize formulas, you may have to use the process covered in class for Maclaurin series. This her requires a little bit of critical thinking.

4. Find the exact (no calculators here) volume of the solid…

4. Find the exact (no calculators here) volume of the solid obtained by rotating the region bounded by the curves    y = x3, y = 8, x = 0 about the y-axis. Use either the disk method or the shell method. I also recommend a sketch to help label what is needed.  

1. Set up an integral that represents the length of the curv…

1. Set up an integral that represents the length of the curve. Then use a calculator to find the length correct to the nearest unit. Make sure you write down what you entered in your calculator in order to get full credit. Do not work the integrals by hand. a) For the Cartesian curve: y = 1 + 6×2,