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,
If arg (a/b) = pi/2, then find the value of ((a+b)/(a-b)) where a,b are complex numbers. Ans) Arg (a/b) =Pi/2 Tan-1 (a/b)= Pi/2 A/B = tanP/2 ,therefore a/b=infinity.
Level Curves or Contour Curves Another topic that we should look at is that of level curves or also known as contour curves. The level curves of the function z = f (x, y) are t
if Sn =3n²+n, find the A.P.
A group of 120 men had food for 200 days.After 5 days , 30 men die of disease.How long will the remaining food last
Limit Properties : The time has almost come for us to in fact compute some limits. Though, before we do that we will require some properties of limits which will make our lif
The light on a lighthouse blinks 45 times a minute. How long will it take the light to blink 405 times? Divide 405 by 45 to get 9 minutes.
Ho
how to estimate using compatible numbers
Simple Random Sampling It refers to the sampling technique whether each and every item of the population is described an equal chance of being included in the sample. Because s
the ratio of dogs to cats is 2 to 9.if there are 10 dogs how many cats are there?
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