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.
Use green's theorem to computer the integral F . dr where F = ( y^2 + x, y^2 + y) and c is bounded below the curve y= - cos(x),, above by y = sin(x) to the left by x=0 and to the r
Show that the points (3, 0), (4, 5), (-1, 4) and (-2, -1) taken in order are the vertices of a rhombus. Also find the area of the rhombus.
Q. Assume a birthday is equally likely to occur in each of the 365 days. In a group of 30 people, what is the probability that no two have birthdays on the same day? Solution:
I am greater than 30 and less than 40. The sum of my digits is less than 5. who am I?
x>4
An ice-cream cone has a hemispherical top. If the height of the cone is 9 cm and base radius is 2.5 cm, find the volume of ice cream cone.
Bill spent 50% of his savings on school supplies, and then he spent 50% of what was left on lunch. If he had $6 left after lunch, how much did he have in savings at the starting?
how to do proving of rectilinear figures?..
how can i solve it
Integration of square root of sin
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