Calculus  Math
posted by Sarah .
Sorry in advance  it's a very wordy, multi part question. The parts with the ..........are the parts that require an answer. I have no idea where to begin or what to do to solve this.
We will determine the volume obtained when revolving the solid bound by the curves y = x^2 and y = 6x  8 about the xaxis. Since these curves are expressed in terms of x, we will use the method of washers. First, we must find the intersection points of these two curves. These particular curves intersect at two points. If we call the smaller of these points x = a, and the larger point x = b, then the value of a is..........., and the value of b is............Between these two points, the curve that takes on smaller values is y1 = ................and the curve that takes on the larger value is y2 = ................Let us look at a typical washer. If we take a thin vertical slice of width dx, the volume of this slice can be expressed as follows: dV = piR^2  pir^2, where R is the radius of the outside of the washer, and r is the radius of the inside of the washer. In this case, the outer radius is determined by the larger function, y2, and the inner radius is determined by the smaller function y1. Thus we have dV = pi(y2^2  y1^2). We must then consider all such slices that are included in our region. Thus we have to integrate from a to b. Thus the integral used to calculate the volume is integral from b to a...................dx (enter the function which you will be integrating in terms of x). Therefore the volume is..................
Thanks for your help.

Calculus  Math 
drwls
They are trying to make it easy for you, going though the process step by step.
You really need to make the effort.
For the first step, set
x^2 = 6x  8 and solve for the two x values.
x^2 6x +8 = 0 can be easily factored.
Respond to this Question
Similar Questions

math
a bathroom cleaner contains 1 part of bleach with 4 parts of water. if you need 10 parts of bathroom cleaner, how much water and bleach do you need? 
Chemistry
Part 1: Each molecule of NO2, nitrogen dioxide, consists of 1 atom of N and 2 atoms of O. If you have 0.155 g. of NO2, how many molecules of NO2 do you have ? 
5th grade math (word problems)
I'm not sure how to solve the following problem: If you divide 1/10 of a dollar into parts that are each 1/100 of a dollar, how many parts are there? 
chemistry
The urine of horses are mixed with an excess of hydrochloric acid, after some time, a yellowishbrown crystalline precipitate, which have an unpleasant odor, that can't be removed by simply washing with water. This new compound has … 
Social Studies
Whitney wanted to speed up the making of guns by having machines manufacture each part. All machinemade parts would be alikeāfor example, one trigger would be identical to another. Identical parts would fit together with all other … 
Algebra 1
Solve the following system of equations. You will type your x value in the first part and the y value in the second part of the question. If the answer is no solution then type NS in both parts and if the the answer is infinite solutions … 
algebra 1
Solve the following system of equations. You will type your x value in the first part and the y value in the second part of the question. If the answer is no solution then type NS in both parts and if the the answer is infinite solutions … 
algebra
Solve the following system of equations. You will type your x value in the first part and the y value in the second part of the question. If the answer is no solution then type NS in both parts and if the the answer is infinite solutions … 
math
Solve the following system of equations. You will type your x value in the first part and the y value in the second part of the question. If the answer if no solution then type NS in both parts and if the the answer is infinite solutions … 
Math
Solve the following system of equations. You will type your x value in the first part and the y value in the second part of the question. If the answer if no solution then type NS in both parts and if the the answer is infinite solutions …