Imagine that we have a perfectly spherical globe with radius of 6 inches. If we
ID: 1893070 • Letter: I
Question
Imagine that we have a perfectly spherical globe with radius of 6 inches. If we make a cut parallel to the equator 2 inches below the north pole, what is the volume of the two resulting pieces of the sphere? A rumor spreads through a small town. The speed that the rumor spreads is the product of the fraction of people who have heard the rumor and the fraction of people who have not heard the rumor. Do the following: Let y(t) be the function of the people in the town who have heard the rumor at time t. Write a differential equation involving y which models the above situation. Find the general solution of the equation you found in part a. Find a specific solution to the equation under the assumption that at time zero a tenth of the town has heard the rumor. Using your function y(t.), determine what percent of people have heard the rumor at time 1 (you may round your answer to two decimals for this part). You are asked to find the volume of a solid, but all you are given are a series of cross sections. There are five cross sections, each a foot apart from each other. They are as follows: Cross Section 1: The area under the curve of y = 1 - x2 from x = - 1 to x = 1. Cross Section 2: The area under the curve y = cos (x) from x = - pi/2 to x = pi/2. Cross Section 3: The area between the curves y = cos (x) and y = 1/2 - 2/pi 2 x2 Cross Section 4: The area between the curves y = 2 - 2.x and y = 1/2 - 1/2x Cross Section 5: The area under the curve y = 1 - x 4 from x = - 1 to x = 1 All units in the above functions are in feet. Find the area of each cross section exactly, then use the areas of each cross section together with the trapezoidal rule to estimate the volume of the solid.Explanation / Answer
which question buddy? well its actually difficult to answer all the questions in 1 post. So please repost the questions individually :)