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 the following parametric curve about the x-axis.
x = cos3 θ
y = sin3 θ
0 ≤ θ ≤ ?/2
Solution
We will first require the derivatives of the parametric equations.
dx/dt = -3 cos2 θ sin θ
dy/dt = 3sin2 θ cos θ
Previous to plugging into the surface area formula let us get the ds out of the way.
ds = √ (9 cos4 θsin2 θ + 9 sin4 θ cos2 θ) dt
= 3|cosθ sin θ| √ (cos2 θ + sin2 θ)
=3 cos θ sin θ
Note that we could drop the absolute value bars as both sine and cosine are positive in this range of θ given.
Now let us get the surface area and do not forget to as well plug in for the y.
(e) Solve the following system of equations by using Matrix method. 3x + 2y + 2z = 11 x + 4y + 4z = 17 6x + 2y + 6z = 22
Determine if the following sequences converge or diverge. If the sequence converges find out its limit. a. {3n 2 - 1 / 10n + 5n 2 } ∞ n =2 b. {e 2n / n} ∞ n =1 c
Example of Regression Equation An investment company advertised the sale of pieces of land at different prices. The given table shows the pieces of land their costs and acreag
if A be the area of a right triangle and b be one of the sides containing the right angle, prove that the length of the altitude on the hypotenuse is 2Ab/rootb^4+4A^2
Explain Mixed Numbers with examples? Everybody loves a bargain, right? But sometimes these "special deals" aren't what they seem to be. For example, pretend you were at a
You''ve decided you want a plant for your room. At the gardening store, there are 444 different kinds of plants (tulip, fern, cactus, and ficus) and 444 different kinds of pots to
i need help
Given that f(x,y) = 3xy - x 2 y - xy 2 . Find all the points on the surface z = f(x, y)where local maxima, local minima, or saddles occur
hi i am doing the oaks test do you have somthing that could help me
what is vector space
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