Tagged Questions

2
votes
1answer
85 views

Is $f''(f)df=f'(x)df'$ correct?

This question is about kinematics and $a , v, x$ stand respectively for acceleration, velocity, position. Supposing we have an expression of $a$ in function of $x$, we have the following theorem: ...
1
vote
1answer
109 views

Help with integral for electric potential

I need help evaluating the following integral $$\frac{ \sqrt 2 \sigma}{2 \epsilon_0} \int_0^R \frac{r \,dr}{ \sqrt{(z- \frac{ rh}{R} ) ^2 + r^2} }$$ This integral pertains to the Electric potential ...
1
vote
1answer
250 views

Surface area , center of mass, and moment of inertia of paraboloid

I have done a bunch of work and simply wish to check that it makes sense. I have a hollow parabola of height b and base radius b ($ z = \frac{x^2 + y^2}{b}$ bounded by z = b) 1) surface area of ...
3
votes
4answers
581 views

Hydrostatic pressure on a square

Vertically inserted into the water I have a rectangle 6 feet wide and 4 feet high that is submerged under the water with 2 feet of water above it. Using a riemann sum how do I find the pressure? I ...
-2
votes
1answer
150 views

Precision and time of calculating the integral in Mathematica

1)How to calculate this integral, because I have some very small values (10^-20) in solution and values on this position in matrix should be equal to zero. If I can not do that with working precision, ...