Homework Statement
The setup is a pair of two circular wires, a small one of radius b and a large one with radius 2b, both sharing the same center and located on the same plane. There is a magnetic field of strength B within the smaller circle that comes out of the paper towards the observer...
No, she definitely wanted a numeric answer. This is actually an AP Physics B class, but our teacher really doesn't know what she is doing. I had to argue almost every question on a kinematics test once until she realized she had the wrong answer key for the problems. She has a PhD is...
The entire difference is in sign conventions; the sign merely depends on your method of thinking on how the system does work on its surroundings.
In the formula delta u=Q-W, W is positive when the system does work on its surroundings and negative when the surroundings do work on the system...
Hello all, my reason for posting is to clarify a topic of electrostatics that I recently covered in physics. I turned in an assignment and my teacher marked an answer wrong and gave a strange explanation of how to solve it. Here is my attempt at the solution.
Homework Statement
A charge of...
Yeah, sorry about that, I should really learn to use the LaTeX code better. And I believe the final answer would be h'(2)=4\sqrt{65}. There we go, that's a start. Thanks for all of your help!
I already did rearrange the limits, that's about the only part that I knew to do initially. I did a little research and found that the derivative with respect to x of the integral from 2 to x^2 of √(1+t^3) dt equals -f'(g(x))g'(x) (negative because I flipped the limits). Now if f(x)=√(1+x^3)...
Okay, so if
h(x)= \int_{2}^x^2 \sqrt{1+t^3} \ dt
and \sqrt{1+t^3} equals h'(t), then h(x)=h'(x^2)?
The solution is h'(x)=√(1+(x^2)^3) and h'(2)=√65?
This doesn't sound right, so I apologize for my ignorance.
If I understand this right, I'm setting f(x)= ∫√(1+t^3) dt, lower limit=2, upper limit=x
So f'(x)= √1+x^3 and g'(x)=2x. Going back to the original equation, h'(x)=-f'(g(x))g'(x)=√[1+(x^2)^3]2x=2x√(1+x^2)
h'(2)=2(2)√(1+2^2)=4√5
is that right?
Homework Statement
2
h(x)=∫√(1+t^3) dt find h'(2)
x^2
Homework Equations
The Attempt at a Solution
I started out solving this equation by flipping x^2 and 2 and making the integral negative. From here on out, I'm lost. I've tried substituting u in for 1+t^3 and solving...