Description of volume of solid of revolution

Assignment Help Mathematics
Reference no: EM13129801

Let R be the region bounded by the curves f(x) = ln(x+3) +2 and g(x) = x^2 - 8x + 18.

a) Using the washer method, find the volume of the shape which is formed if R is rotated around the x- axis.

b) Using the cylindrical shells method, find the volume of the shape which is formed is R is rotated around the line x = -2.

Show all work including the integrals used and the limits of integrations.

Reference no: EM13129801

Questions Cloud

Computing year-end earnings per share : On January 1, Toga Corporation granted stock options to top management. The options are exercisable within 4 years from the date of grant only if the employees are still in Toga's employ. When computing year-end earnings per share at December 31, ..
Determine total pressure in the 50.0 l container at equibrm : In a 50.0 L container, 4.00 moles of chlorine and 2.00 moles of bromine are placed and kept at 293.0 K  until equilibrium is reached. At equilibrium there are 82.63 g of Br2
Description of partial fractions integration : Solve the given integral by the method of partial fractions: (S stands for the integration sign) S sec^2(x) / (tan^3(x) - tan^2(x)) dx
What is the actual value of moneys contract : Eddy Money signed a three-year contract to host the Tonight Show. Although he will receive $130 million dollars over three years, the terms of the contract are that he is to receive $10 million at the end of each of the next three years plus an ad..
Description of volume of solid of revolution : Let R be the region bounded by the curves f(x) = ln(x+3) +2 and g(x) = x^2 - 8x + 18. Using the washer method, find the volume of the shape which is formed if R is rotated around the x- axis.
Explain how is the gift reported on the estate tax return : On his deathbed, Chester Chubb gave his live-in maid $1,213,000 of listed bonds, incurring a gift tax liability of $90,000. After Chester expired, the executor of his will fi led a gift tax return and remitted the gift tax to the IRS. Explain how..
How much heat is required : How much heat is required to warm 1.20 kg of sand from 26.0 0C to 100.0  0C?
Probability that two patients have genetic disorder : The probability of having a particular genetic disorder is 0.004. If 25 patients are tested for this disorder, what is the probability that 2 of them have this disorder?
Midyear issuance of securities convertible to common stock : When computing the weighted-average number of shares outstanding during the year for the purpose of calculating diluted EPS, what is the proper treatment of a midyear issuance of securities convertible to common stock?

Reviews

Write a Review

Mathematics Questions & Answers

  Assuming that all marbles are equally likely to be picked

A bag contains 10 red, 12 green, and 8 yellow marbles. Assuming that all marbles are equally likely to be picked from the bag

  Hat contains n coins f of which are fair

A hat contains n coins, f of which are fair and b of which are biased to land on heads with a probability of 2/3. A coin is drawn from the hat and tossed twice.

  Cauchy-riemann equations

Satisfies the Cauchy-Riemann equations

  Determining asymptotes and graphing

Determine the vertical and horizontal asymptotes and sketch the graph of the rational function F. Label all intercepts and asymptotes.

  A company finds that on average 20%

Resigning Probabilities, A company finds that on average 20% of all new employees resign during their first year of employment

  Clarification of systems of equations

Determine whether the given ordered pair is a solution of the system. Solve each system by substitution method

  Product of elementary row matrices

Find elementary matrices E,F,G and a matrix R in row-echelon form such that the following matrix A is equal to EFGR.

  Provide a careful and complete proof by induction

Summation and proof using mathematical Induction - Provide a careful and complete proof by induction.

  System of linear equations by elimination

Find the values of x and y that solve the following system of equations

  Relationship between living arrangements

Probability Assume that the table below summarizes a survey involving the relationship between living arrangements and grade point average (GPA) for a group of students. If we select a student randomly from this group,

  Maximum value of function and decreasing function

In recession, congress decided to stimulate the economy by providing funds to hire unemployed workers for gov. projects. Suppose the t months after the stimulus programs have begun, there are N(t) thousand people unemployed, where:

  Determine the probability that both marbles are red

Suppose you randomly draw two marbles, without replacement from a bag, containing six green, four red and three black marbles. a) Determine the probability that both marbles are red.

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd