Homework Statement
Find the laplace transform of f(t)=sin(4t+\frac{\pi}{3})u(t).
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Homework Equations
Definition of laplace transform, and properties...
Hi. I am in college and have forgotten everything about how to solve indefinite integrals.
Even very simple problems give me trouble, such as:
int( y^3 * sqrt(2y^4 - 1) ) dy
So how in the world do you find the answer? The Antiderivative? Please go through this step-by-step, I need a...
Hi. There are a few problems on my homework that involved the volume of a rotated solid. I do not know how to do these, but I'm trying to devise a method. This is what I figure:
\int_{a}^{b} f(x) dx is the area under the graph.
\frac {\int_{a}^{b} f(x) dx} {b-a} is the average height.
This...
Hi. I am getting absolutely embarassed by these related rates problems. Here is one that I simply keep getting wrong:
The volume of an expanding sphere is increasing at a rate of 12 cubed cm per second. When the volume is 36\pi, how fast is the surface area increasing?
V=\frac...
No. I am suggesting that the second installment would be $2400 plus interest for one year on the remaining $4800.
The big question here is, why is your rate -0.06? Your rate should be positive, a negative amount would indicate the payment 'decreasing continuously'.
Is the $2400 really $2400 plus interest? Also double-check the "now" amount, becuase even three payments of $2400 without interest is $7200.
The second payment would be 2400 + interest for one year on the remaining 4800:
A=4800 \cdot e^{6*2}
No, I don't think I can. But that seems to make a lot more sense than the L(x) stuff.
I still don't see how to solve either of those methods. The first method you described is essentially what I have been trying for. The tangent equation for f(x) (the one you described was actually g(x))...
Could you go through that approach? I sort of understand your logic, and sort of don't. I don't understand what L(x) is doing when those two equations can be simplified to g(x)-f(x)=0.
Definitely leave it in there. For the equations you deal with right now, it might be removable, but you don't want to develop bad habits for when it does matter.
I'm stuck on this problem. I am hoping someone can walk me through it or get me past my choking point. The problem states:
Two equations have two shared tangent lines between them. Find the equations of these tangent lines analytically.
g(x)=x^2
f(x)=-x^2+6x-5
The first step I took was to...