Applications of double integrals: A lamina occupies the part of the disk x^2 + y^2 <= 4 in the first quadrant. Find the center of mass of the lamina if the density at any point is proportional to the square of its distance from the origin.

What is the area of the parallelogram with vertices A(-3, 0), B(-1, 5), C(7, 4), and D(5, -1)?

How to expand and simplify ${\displaystyle 2(3x+4)-3(4x-5)}$?

Find an equation equivalent to $x^2-y^2=4$ in polar coordinates.

How to graph ${\displaystyle r=5\sin \theta }$?

How to find the length of a curve in calculus?

When two straight lines are parallel their slopes are equal.
A)True;
B)False

Integration of 1/sinx-sin2x dx

Converting percentage into a decimal. $8.5\%$

Arrange the following in the correct order of increasing density.
Air
Oil
Water
Brick

What is the exact length of the spiraling polar curve ${\displaystyle r=5e^{2\theta }}$ from 0 to ${\displaystyle 2\pi }$?

What is ${\displaystyle \frac{\sqrt{7}}{\sqrt{11}}}$ in simplest radical form?

What is the slope of the tangent line of ${\displaystyle r=-2\sin \left(3\theta \right)-12\cos \left(\frac{\theta }{2}\right)}$ at ${\displaystyle \theta =\frac{-\pi }{3}}$?

How many integers from 0 to 50, inclusive, have a remainder of 1 when divided by 3?

Use the summation formulas to rewrite the expression ${\displaystyle \Sigma \frac{2i+1}{n^2}}$ as i=1 to n without the summation notation and then use the result to find the sum for n=10, 100, 1000, and 10000.

How to calculate the right hand and left hand riemann sum using 4 sub intervals of f(x)= 3x on the interval [1,5]?