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.
I have some sample simulation and modeling practice questions using isee Stella software.
What is Terminology of Quadratic Functions ? The function in x given by: F(x) = ax 2 + bx + c, where a 0 is called a quadratic function. The graph of a quadratic function is
Suppose that the width of a rectangle is three feet shorter than length and that the perimeter of the rectangle is 84 feet. a) Set up an equation for the perimeter involving
E1) How is the 'comparison model' different from the 'complementary addition model'? E2) Create one word problem related to the children's world for each of the 4 models liste
Polar Coordinates Till this point we've dealt completely with the Cartesian (or Rectangular, or x-y) coordinate system. Though, as we will see, this is not all time the easie
solution for this project
MINIMAX regret method Minimax method assumes that the decision maker will experience 'regret' after he has made the decision and the events have happened. The decision maker ch
If the radius of a sphere is doubled, the surface area is a. multiplied by 4. b. multiplied by 2. c. multiplied by 3. d. multiplied by 8. a. The formula for the surf
120
#k1=f(Tn, Xn), k2=f (Tn + H.Y,Xn + H.Y.k1) Xn+1=Xn + H(a.k1+ b.k2) Find a relation between Y,a and b so that the method is second order consistent.
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: +1-415-670-9521
Phone: +1-415-670-9521
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd