Recent content by ThiagoG

Homework Statement Let X denote a continuous random variable with probability density function f(x) = kx3/15 for 1≤X≤2. Determine the value of the constant k. Homework Equations I'm not sure if this is right but I think ∫kx3/15 dx=1 with the parameters being between 2 and 1, The Attempt at a...

Homework Statement 2 1.2m nonconducting wires meet at a right angle. One segment carries +2.5*10-6 C of charge distributed uniformly along its length, and the other carries -2.5*10-6 C distributed uniformly along it. Find the magnitude and direction of the electric field these wires produce at...

After I drew it, I think it's ∏/4 because y=x bisects the first quadrant which would mean it is at ∏/4. So it ranges from 0 to ∏/4

So would it be from 0 to ∏/4?

Homework Statement ∫∫Rarctan(y/x) dA, where R={(x,y) | 1\leqx2+y2\leq4, 0\leqy\leqx Homework Equations x=rcos(θ) y=rsin(θ) x2+y2=r2 The Attempt at a Solution I know that the range of r is 1 to 2 but I can't figure out how to change the second part into θ. If I change y and x to...

Oh thank makes a lot of sense. Thank you.

Homework Statement Find a polar equation for the curve represented by the Cartesian equation. y=1+3x Homework Equations x2+y2=r2 x=Rcos(θ) y=Rsin(θ) The Attempt at a Solution (1+3x)2+x2=r2 1+6x+10x2=r2 1+6rcos(θ)+10r2cos2(Θ)=r2

Sorry about that. The initial velocity is 18 m/s.

Homework Statement A small rock is thrown vertically upward with a speed of from the edge of the roof of a 30.0-m-tall building. The rock doesn’t hit the building on its way back down and lands in the street below. Air resistance can be neglected. (a) What is the speed of the rock just...

Ok thank you so much for your help. :)

I subtracted 2 from it. So my integral is 2∏∫(y)(-1+(y-1)2)dy. I got a negative number when I did this.

So it would be 3+(y-2)2? edit: I tried this and it didn't work

How would you fix this?

Homework Statement x=1+(y-2)^2, x=2. Rotating about the x-axis Homework Equations Volume=(2∏y)(1+(y-2)2(Δy) Limits of integration would be from 1 to 3 2∏∫(y)(1+(y-2)2dy 2∏∫y3-4y2+5y dy The Attempt at a Solution 2∏[y4/4-4y3/3+5y2/2] Plug in the limits and I get 32∏/3. The...

What area do computational physicists work in? Are computational physicists only hired in academia and the research sector or are they also hired in the industry sector? If so, what kinds of companies hires them? Reason I am asking is because currently I am an undergraduate student double...