Recent content by tasveerk

A circle of radius 1. When z=8, the curve will be a circle of radius 2. Not sure where to go from here.

Good question. I seem to have made an error. I was looking at the parameterization of a different paraboloid and must have gotten mixed up.

Homework Statement Find the area of the surface cut from the paraboloid z=2x2+2y2 by the planes z=2 and z=8.Homework Equations Surface area of S= ∫∫ ||Ts×Tt|| ds dtThe Attempt at a Solution What I am really having trouble doing in this problem (and in general) is parameterizing the surface in...

Would you mind explaining where you got 2/cos∅ from? Also, can you recommend a good utility to graph these functions? Thanks!

Homework Statement What is the volume of the region above the plane z = 2 and inside the sphere x2 +y2 +z2 = 9. Homework Equations The Attempt at a Solution I am trying to use a spherical triple integral. I am mainly having trouble finding ∅. This is what I have been trying...

Homework Statement Find the product of the maximal and the minimal values of the function z = x - 2y + 2xy in the region (x -1)2+(y + 1/2)2≤2 Homework Equations The Attempt at a Solution I have taken the partial derivatives and set-up the problem, but I am having difficulty...

Hello, I am somewhat confused about the concept of pressure in Bernoulli’s principle, which states that velocity and pressure are inversely related. When I think of pressure, I think that there is higher pressure acting on a liquid when a pipe is smaller rather than larger. I would appreciate...

Homework Statement the definite integral of (x-1)/(x^3+4x^2+3x) from x=1 to x=3 using partial fraction decomposition. I know the answer should be (5/3)ln2 - ln3. Homework Equations The Attempt at a Solution After integrating, I got -(1/3)ln(3x) - (2/3)ln(x+3) + ln(x+1) . The...

It all makes sense now. Thanks

I see what you mean now. I was confusing my results from the ratio test with what you were saying. Just to clarify one last thing, (-1)/n is a convergent series, correct?

I now see that it is a harmonic series, but how did you conclude that (-1)2n/n = 1/n?

Thanks for the quick reply. Is there some type of rule that states if the ratio is negative 1, the series will converge? I thought there were absolute value bars around the ratio meaning that -1 and 1 would be the same thing.

Homework Statement For what integer k, k > 1, will both sigma n=1 to infinity ((-1)^(kn))/n and sigma n=1 to infinity (k/4)^n converge? A) 6 B) 5 C)4 D)3 E)2 Homework Equations The Attempt at a Solution I tried to use the ratio test and after some simplifying I got (-1)^k (n/n+1)...

Homework Statement Solve with u-substitution ∫ (x-5)/√(x-6) dx Homework Equations The Attempt at a Solution This is what I have done so far and it doesn't seem to work out. I have a feeling I'm missing something. Any help would be appreciated. u=x-6 du=dx x=u+6 ∫...

I switched t with x in the equation. Now that I think about it I'm even unsure of why I did this. Anyway, I solved the problem by taking t out of the function before integrating. Thank you all for the quick replies.