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Calculus
Find the volume of the region that lies above the cone z= sqrt(x^2+y^2) and within the unit sphere x^2+y^2+z^2= 1 using spherical coordinates
Calculus
Evaluate the following integral by converting it to cylindrical coordinates: ∫(-3 to 3)∫(0 to sqrt(9-x^2))∫(0 to 9-x^2-y^2) sqrt(x^2+y^2) dz dy dx
Calculus
Evaluate lim┬((x,y)→(6,2))〖(x^2-3xy)/(x-3y)〗
Calculus
What is the natural domain of the function f(x,y)=√(x^2-y^2 )?
Calculus
Find the partial derivative ∂z/∂x and ∂z/∂y of the function x^4y^3+8x^2y
Calculus
Evaluate lim┬((x,y)→(4,5))〖(√(x+y)-3)/(x+y-9)〗
Calculus
Determine whether or not the following series converge. ∑_(k=1)^∞▒1/k^7
Calculus
Determine whether or not the following series converges. ∑_(k=1)^∞▒8k/√(k^2+5)
Calculus
A piece of a broken plate was dug up in an archaeological site. It was put on top of a grid, as shown in Figure 1.15, with the arc of the plate passing through A(7,0), B(1,4) and C(7,2). Find its center, and the standard equation of the circle describing the boundary of the plate.
Calculus
If u = x2 + y2
then the value of
then the value of
