Recent content by yesiammanu

Is this the theorem you were referring to? L{e-asF(s)}=f(t-a)*UnitStep(t-a)

Homework Statement Evaluate the laplace transform of {t2e7tsinh(3t)} Homework Equations Laplace transform of {tnf(t)}=(-1)ndn/ds2 * F(s) The Attempt at a Solution I've replaced it with (-1)2d2L{e7tsinh(3t)} I'm not sure how to proceed, though, as I don't really see how to take...

Homework Statement Find the matrix for the transformation which first reflects across the main diagnonal, then projects onto the line 2y+√3x=0, and then reflects about the line √3y=2x Homework Equations Reflection about the line y=x: T(x,y)=(y,x) Orthogonal projection on the x-axis...

Bump if I may, my test is in 30 minutes :)

Homework Statement Convert x=tant, y=sect on ∏/2<t<∏ to rectangular system and graph. Show domain, rnage, and orientation I use sec2=tan2+1 -> y2-x2=1 which is a hyperbolic function with the graph http://www.wolframalpha.com/input/?i=y^2-x^2%3D1 I know that the graph is only in the 3rd...

Ah I see, that makes sense, thank you. Is what I posted above (2∏∫(2√x - x)(x) for x=4, 2∏∫(y - y2/4)(y) for y=4) correct for cylindrical shell method?

For part B, also using the cylindrical shells method, would the proper integral be 2∏∫(y - y2/4)(y)

Homework Statement Find the volume of the solid generated by revolving the region bounded by the graphs of y2=4x, the line y=x, about A) x=4 B) y=4 So first I start out by graphing it The intercepts are at 0,0 and 4,4 I use the washers method since there is a gap in between the...

Replaced that in my equation and got 5.68, which is probably close enough. Thanks for help!

hmmm... cos theta = adj/hyp hyp cos theta = adj L cos 35 = adj for blue line And then the red line would be L - Lcos35? so .25m - .25mcos35 = .045m?

Hmmm.. I'm really confused I tried to make a construction but I got even more confused I thought that would just be Lsin35, since if sin was 90 degrees, you would be at exactly L

I would think it did, since the height changed and it ends up with 0 speed at 35 degrees Did I need to factor in kinetic energy since it changes the x position? I thought it would be covered by angular

Homework Statement A ballistic pendulum is a common device that is designed to measure the speed of small projectiles. As shown in the sketch on the right, it is composed of an initially stationary metal "cage" which traps the projectile and is suspended vertically by a very light weight rod...

The [] is a crossproduct so it goes in the xysintheta direction towards the z axis due to the right hand rule, which implies a vector The dot product creates a scalar, and when a scalar is multiplied by a vector, you end with a vector (so that speed * velocity = velocity). So the answer is a...

I'm taking a final tomorrow and was just wondering if someone could confirm that these (most missed) multiple choice questions on the previous exams are answered correctly. Again, this isn't homework, they are old test questions The "Principle of Equivalence" states that __________ and...