Recent content by Vampire

Solved with trig substitution and then parts.

I switched dx and dy and the bounds. The new y bounds are from 0 to tanx The new x bounds are from 0 to pi/4 The resulting integrand after successfully integrating in terms of y is -sinx*sqrt(3 + (cosx)^2) dx It's a little nicer, but still ugly. Putting the integrand into the...

Homework Statement The whole integral is a double integral, but I can't even perform the first integration. The integrand is cosx*sqrt(3+(cosx)^2) dxdy The x bounds are from arctan(y) to pi/4 the y bounds are from 0 to 1 Homework Equations Converting rectangular to polar may help.The Attempt...

Thank you. That clears things up.

Homework Statement A baseball player is playing approximately 310 feet from a TV camera that is behind home plate. A batter hits a fly ball that goes to a wall 400 feet from the camera. (a) The Camera turns 12 degrees to follow the play. Approximate the number of feet the fielder has to make...

Homework Statement Find a function of two variables whose level curves are parabolas with vertex (0,0) with a hole in the parabolas at the origin. Homework Equations No special equations come to mind. 4ay=x2 may be a little useful. The Attempt at a Solution The first thing I...

Thank you for your help! Looking at it facing the y-z plane helped me solve it; thank you, lanedance. I've solved it. I parametrized the elliptical cylinder using trigonometric functions: z= 2sin(t) y= 3cos(t) and solved for x. x= 18cos^2(t) - 12sin^2(t) t (0,2\pi)

Help with basic multivariable problem. [SOLVED] Homework Statement Two surfaces intersect at a space curve C. The two surfaces are 4y2 + 9z2 = 36 and x = 2y2 - 3z2 Find a vector parametrization for C. (r(t) = ( f(t) , g(t) , h(t) ) Find a set of values for the parameter t over which C is...

Alright I will try that. Thank you very much.

So I can substitute, then treat the different lines as a system of equations?

Homework Statement Find the radius and center for the sphere determined by the four points (3,2,-1), (5,-2,1), (-3,1,2), (0,2,4). Give the exact location of the center but approximate the radius to the nearest 0.1.Homework Equations Equation of a sphere: x2 + y2 + z2 + Gx +Hy +Iz +J = 0 or...