Already have an account? Get multiple benefits of using own account!
Login in your account..!
Remember me
Don't have an account? Create your account in less than a minutes,
Forgot password? how can I recover my password now!
Enter right registered email to receive password!
Find out the surface area of the solid acquired by rotating y = √ (9-x2), - 2 < x < 2 about the x-axis.
Solution
The formula that we'll be using here is,
S = ∫ 2Πyds
As we are rotating about the x-axis and we will make use of the first ds in this case since our function is in the correct form for this reason ds and we won't gain anything by solving it for x. Let us first get the derivative and the root taken care of.
Dy/dx = ½ (9-x2)- ½ (-2x)
= - x / (9-x2)½
√(1+ (dy/dx)2)
= √(1+ x2 / (9-x2))
= √(9 / 9-x2)
= 3/ √(9-x2)
Here's the integral for the surface area,
S = ∫2-2 2Πy (3/ √(9-x2)) dx
Though there is a problem. The meaning of dx here is that we shouldn't have any y's in the integral. Thus, before evaluating the integral we'll require to substitute in for y as well. After that the surface area is,
Convert measurements between the English system? To convert measurements between the English system and the metric system: 1. Look up the conversion between the two units of
25 cl=____________L
objective of linear programming?
how to see shares and dividends of a company and are they seen day wise?
how to get harmonic problems with answer
Ratio Test In this part we are going to take a look at a test that we can make use to see if a series is absolutely convergent or not. Remind that if a series is absolutely c
GIVE ME EXAMPLES
what is the business application of matrices
The horizontal asymptote of (16x+7)(x^2-5)/(x^2+36).
Solve 5x tan (8x ) =3x . Solution : Firstly, before we even begin solving we have to make one thing clear. DO NOT CANCEL AN x FROM BOTH SIDES!!! Whereas this may appear like
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!
whatsapp: +91-977-207-8620
Phone: +91-977-207-8620
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd