Integration Techniques, L'Hopital's Rule, and Improper Integrals

Please see word attachment for clearer view of the problem. Volume: Find the volume of the solid generated by revolving the region bounded by the graphs of y = xe^-x, y = 0, and x = 0 about the x-axis.

Differentiation of inverse Trigometric functions

Angular rate of change: A television camera at ground level is filming the lift-off of a space shuttle at a point 750 meters from the launch pad. Let (theta) be the angle of elevation of the shuttle and let s be the distance between the camera and the shuttle. Write (theta) as a function of s for the period of time when the shu ...continues

Laplace

Please show detailed solutions.

Laplace transformation

Laplace Transformation Question. Please see attachment.

Partial derivative

Compute the first-order partial derivative of the given function z=xy^2/x^2y^3+1

Calculus/For OTA #103877 or # 103846

Please see attached file for various questions in Calculus.

Calculus/For OTA #103877 or # 103846

Please see attached file for various questions on calculus. Thank you.

Calculus

Please see attached file for various questions with calculus.

Calculus

Please see attached file for various questions with calculus.

find the second partials (including the mixed partials)

f(x,y) = x^2ye^x