Recent content by asap9993

Hi all, I'm going to be a graduate student this fall, and I was thinking about applying for an NSF graduate fellowship. However, after some internet research, I realized that the NSF puts ALOT of weight on "broader impacts". To me, this basically means that you have promoted your science in...

Homework Statement A small, thin coil with N2 loops, each of area A2, is placed inside a long solenoid, near its center. The solenoid has N1 loops in its length L and has area A1. Find the mutual inductance as a function of θ, the angle between the plane of the small coil and the axis of the...

Right. E is indeed a vector that points radially outward in this case. I'm focused on its magnitude here. In vector form, there is an r roof vector included. Ok I see that you are saying that E(r) is discontinuous at r = a. I'm guessing that E must be 0 at r = a since the enclosed net charge...

Yes,sorry about that. I rephrased the question.

Homework Statement A conducting spherical shell has inner radius a, outer radius b, and has a +Q point charge at the center. A charge of -Q is put on the conductor. a) What is the charge on the inner and outer surface of the shell? b) What is the electric field everywhere? c) What...

An ideal, monatomic gas is going through a 4 step Carnot cycle. Step 1 is an adiabatic expansion. Step 2 is an isothermal expansion. Step 3 is an adiabatic compression. Step 4 is an isothermal compression. The whole cycle is reversible. My question is how would the cycle change if step 1 is done...

Homework Statement I need help finding the anti-derivatives (indefinite integrals) of the 2 functions below: 1) e^(sqrt(x)) 2) Sqrt(2x - x^2) Homework Equations The Attempt at a Solution I tried forever at these 2 but I can't figure out a way for either of them. Any...

Homework Statement the problem is Find the antiderivative of 1/(1 + cos(x)) Homework Equations The Attempt at a Solution I think it requires a trick, but I can't figure it out.

Of course everyone knows that. But how do you prove it for EVERY SINGLE POSSIBLE nth row or column for EVERY SINGLE POSSIBLE SQUARE MATRIX? Neither my teacher or my textbook proves it. I can't just write "Take my word that it doesn't matter which row or column you expand upon" or "the textbook...

Homework Statement I need help in proving that if B is the matrix that results when a single row or column of A is multiplied by a scalar k then det(B) = k*det(A). Homework Equations The Attempt at a Solution The only way I could think of is setting up a general n x n matrix...

To rl.bhat, Shouldn't it be (x^2 - 1) instead of (x-1)? And I did the integration. It gives a natural log equation that doesn't give me the right answer

Homework Statement Here's the problem: Suppose the acceleration of a particle is a function of x, where a(x) = (1.8 s^-2)x. a) If the velocity is zero when x = 1.0 m, what is the speed when x = 2.9 m? b) How long does it take the particle to travel from x = 1.0 m to x = 2.9 m...

Can someone please help me?

Isn't an affine function a line? Lines don't have any concavity.

To tiny-tim, I don't quite understand why we are concentrating on the rate of change of the volume with respect to height instead of time. If you define volume as that integral then, dV/dh = A = pi(r^2) = pi(3.15^2) = 31.17 cm^2 I guess we could find how the height is changing with...