Double
There are 2 types: dxdy and dydx
How many types of double integrals are there?
The double integral of [p(x,y) dA] is for...
Total electric charge and total mass
100 people are in which congressional body?
x=rcos (theta)
y=rsin (theta)
dA = r dr dtheta
What are polar coordinates?
Write the equation given in cartesian in spherical coordinates:
x^2 + y^2 + z^2 = 9
p^2 = 9
(rho)^2 = 9
The triple integral of [x^2 + z^2 p(x,y,z) dV] is for...
Moment of inertia on the y-axis
________ said, "oh. my. god. we should totally, like, rub fronts."
Who is Lola Skumpy?
Solve this integral: f(x,y) = xy
Bounded by: triangle with vertices (0,0), (1,0), (1,3)
9/8
p^2[sin(phi)]
r
What is a jacobian?
Find the total mass of the lamina bounded by semicircles above the y-axis:
y=[sqrt(1-x^2)] and y=[sqrt(4-x^2)]
with density p(x,y) = x^2 +y^2
15pi/4
This was the first song to be on the billboard top 100 in 4 separate decades
What is All I Want For Christmas Is You by Mariah Carey
Find the volume of the solid under the plane
3x+2y-z=0 and above the region enclosed by the parabolas
y=x^2 and x=y^2
3/4
Set up the integral from this given photo
Set up integrals to find the center of mass of the given image with density p(x,y,z) = -(x^2) - (y^2) + z
E = {(r,theta,z) | 0<theta<pi/2, 0<r<3, 0<z<2}
x = My/m y = Mx/m
My = r^2cos(theta)
Mx = r^2sin(theta)
m = (-r^2 + z)r
Integrated public schools were a result of which court case?
What is Brown v. Board of Education?
Swap the integral to polar then evaluate:
D: {(x,y) | 0<y<1/2, [sqrt(3)]y<x<[sqrt(1-y^2)]}
f(x,y) = x(y^2)
1/120
Evaluate the integral using spherical coordinates for the function f(x,y,z) = [sqrt(x^2+y^2+z^2)] bounded by
z = [sqrt(x^2+y^2)
x^2+y^2+z^2 = 1 and x^2+y^2+z^2 = 4
(-15pi/2)[sqrt(2)/2 - 1]
Set up an integral to find the moment of inertia on the x-axis for the solid with density p(x,y,z)=x^2+y^2+z^2 bounded by a quarter of a sphere in the positive and negative first quadrant
*the top of the sphere is (0,0,1) and the bottom of the sphere is (0,0,-1)*
E = {(p,theta,phi) | 0<p<1, 0<theta<pi/2, 0<phi<pi}
inside the integral: p^6(sin^3 phi)(sin^2 theta) + p^6(sin phi)(cos^2 phi)
Amy Barrett
Brett Kavanaugh
Neil Gorsuch
Who are the supreme court justices appointed by Trump?