1. (3 points) Set up but do no solve the integral required to calculate the volume formed by rotating the region bounded by f() = 1/1, 9(I) = 1/2, and I = 2, and 2 = 4 around the y-axis. Also draw a picture of the region (non-revolved). 2. (3 points) Estimate the integral from (a) using n = 47 and left endpoints for height. Show the setup (with symbols) and all steps used to calculate whether by hand or with Wolfram.

At noon a tank contained 10cm water. after several hours it contained 7cm of water. what is the percent decrease of water in the tank?

Order the equations from least to greatest based on the number of solutions to each equation.-4^x -1 = 3^(-x) – 2 -3x + 6 = 2^x+13^x – 3 = 2x - 2

Astudent found the solution below for the given inequality. |x-9|< -4 x-9> 4 and x-9< -4 x> 13 and x< 5 which of the following explains whether the student is correct? -the student is completely correct because the student correctly wrote and solved the compound inequality. -the student is partially correct because only one part of the compound inequality is written correctly. -the student is partially correct because the student should have written the statements using “or” instead of “and.” -the student is completely incorrect because there is no solution to this inequality.