Recent content by bob29

Homework Statement Find V1, V2 and V3. Homework Equations Nodal Analysis Supernode Equation Capacitance = 1/R KCL & KVL The Attempt at a Solution KCL @ node 0: Ic = v2(-G1) +v3(-G3) Node 1: Ic + I1 +v3(G2+G3) +V2(-G3) = 0 (subbing in Ic) v2(G1+G3) + v3(g-3) = I1....Equation (1) Node 2...

Isn't the region the cylinder? so it enters the bottom and exits the top of the cylinder. Sort of confused about which function determines the boundaries. Thanks for confirming the 1st problem. Guess I made a mistake in my integration of r where r^4/4 should have been r^4/2.

Homework Statement Find the volume of the solid bounded by the paraboloids z=x^2+y^2 and z=36-x^2-y^2. Answer is: 324\pi \\ Homework Equations r^2=x^2+y^2 x=rcos0 y=rcos0 The Attempt at a Solution 36-x^2+y^2=x^2+y^2\\ 36=2x^2+2y^2 18=x^2+y^2 r^2=18 V=\int_{0}^{2\pi} \int_0^{3\sqrt{2}}...

Thanks for the help. I was wondering where I was going wrong, it was my x and y limits which I forgot to change. I'm not used to getting this type of question i.e where z=3.

Homework Statement Find the volume of the region in the 1st octant bounded above by the surface z=4-x^2-y and below by the plane z=3. Answer = 4/15Homework Equations V = \int\int\int dVThe Attempt at a Solution I'm having trouble determining the upper and lower z limits. I partly don't...

Homework Statement The question is solve using laplace transforms: y" - 4y = 1-2t where y(0) =0 and y'(0) = 0 Ans is: y = t/2 - 1/4 + 1/4*e^(-2t) Homework Equations http://www.stanford.edu/~boyd/ee102/laplace-table.pdf" partial fractionsThe Attempt at a Solution (s^2)Y - sy(0) - y'(0) - 4Y =...

Thanks anyway, yep not familiar with the formatting. But problem is solved.

Homework Statement Find the volume of the solid generated by revolving the area bounded by y = sec[x], y= \sqrt{2} - \pi/4 \leq x \leq \pi/4 about the x-axis Or [PLAIN]http://img838.imageshack.us/img838/1552/mathprobq6.jpg Homework Equations a = lower limit = --\pi/4 b = upper limit = \pi/4 V...

Thx much easier 2 understand. Should be able to ace this question if it pops up.

Homework Statement http://img80.imageshack.us/img80/4476/bendingshearquestion.jpg Homework Equations \sumM = 0: \sumFy = 0:The Attempt at a Solution Revising for my finals and going over questions, and would like to understand more clearly how to get the following. Solution is in the image...

In the working out of the answer. V(infinity) = (6/2+6)*10 - (2/6+2)*50 = -5 I don't understand how it's subtracting since superposition you have to add.

Problem solved. Having trouble with a similar but more complex problem. 1. Homework Statement . Question is in the image including diagram. http://img163.imageshack.us/i/electricalproblem.jpg/ http://img163.imageshack.us/img163/2886/electricalproblem.jpg Homework Equations tau = τ = Req *...

Homework Statement The switch in the circuit has been closed for a long time, and it opens at t = 0. Find v(t) for T \geq 0. http://img834.imageshack.us/img834/9107/tutorialq2.jpg Homework Equations V(t) = Voe-t/RC \tau = RC The Attempt at a Solution @ T<0 Short Circuit due to capacitor V =...

Homework Statement Question is: Given the vectors a= i - j + 2k and b= 2i + 3j - k, determine the equation of the plane M that contains the vectors a and b and the point P(2,1,-1).Homework Equations x = xo + at y = yo + bt z = zo + ct PoP = tv ---> (x-xo)i + (y-yo)j + (z-zo)k = t(ai + bj + ck)...

from there would it be correct if i were to let Ftotal=ma? then ma = -kx + mg, so that a= (-kx + mg) / m