What I mean is that the function repeats itself forever, it doesn't just go from 0 to 2. What would I end up doing once I figure out the 2 integration by parts? The summation really confuses me and I never understand how examples of these problems get rid of sine or cosine. The examples will say...
Homework Statement
Find the following Fourier series in trigonometric form.
Homework Equations
$$y(t)=a_0+\sum\limits_{n=1}^{\infty} a_n cos(n\omega_{0}t)+b_n sin(n\omega_{0}t)$$
The Attempt at a Solution
The graph above is represented by the function:
$$
x(t) = \left\{
\begin{array}{ll}...
Homework Statement
Wondering if I did this correctly..
Find the laplace transform:
$$z(t)=e^{-6t}sin(\omega_{1}t)+e^{4t}cos(\omega_{2}t)$$ for ##t\geq 0##
Homework Equations
The Attempt at a Solution
For the first part, I assume I can do this, but I'm not too sure. This is my main question...
Basically an inductor goes from some high voltage to 0, which would cause all the current to flow through it (which is a short) when time goes to infinity. I'm not sure if you've seen the graphs of these, but that should help you, so I'd say look it up.
When t<0, an inductor acts as a short circuit and a capacitor acts as an open circuit. At the instant t=0+, the circuit goes through a transient phase. Once t>>0, the circuit becomes steady state and once again the inductor acts as a short and the capacitor as an open.
I've looked through hundreds of internship positions and have only ever found 1 R&D internship. It was a well-known company within the automotive industry.
If you have a chance at one of these and that's what you would do when you graduate, I recommend taking any that you find since they're...
Haha the blind spot detection system is something I was thinking about doing for fun and installing on my car, not for a project. I think it'd be easier than you think. The breathalyzer, I'm not sure how to do - maybe someone with more experience with this could help you out.
Good luck.
Seems fine. I did DE before Calc 3 and found calc 3 really easy (like the easiest of the 3). Physics 2 (assuming calculus based) can be somewhat hard. The java and philosophy classes shouldn't be too difficult. I think it's pretty do-able. The only problem is since it's your first semester, it...
Sorry, I'm honestly not sure what 2 singularity functions multiplied together would look like. I know that they're both step functions starting at t=-1 and stepping up at t=1.
Homework Statement
Hello, I'm having trouble understanding this, seemingly simple, concept. Any help or input is appreciated.
Evaluate the following derivatives:
$$\frac{d}{dt} u(t-1)u(t+1)$$
$$\frac{d}{dt} r(t-6)u(t-2)$$
$$\frac{d}{dt} sin(4t)u(t-3)$$Homework Equations
The Attempt at a...
Bitcoins have nothing to do with physics that I can think of lol. I think something with a magnetic force on a current carrying wire would be pretty cool. Making a motor out of magnets and batteries?
Homework Statement
Let the curve C be given by ##\vec{r}(t)=3t^{2}\hat{\imath}-\sqrt{t}\hat{\jmath}## between ##0 \leq t \leq 4##. Calculate ##\int_{C} xy^{2}dx+(x+y)dy##.
Homework Equations
The Attempt at a Solution
First find the derivative of r...