Find the force pulling the skier down the hill. This is the force required to pull him up. That is a good place to start. From there, remember that KE=(1/2)mv^2 and also that W=Fd.
Lithium-6 ions (mass is 6x a proton mass) are charged Li+ ions (one extra proton). They are accelerated by 2000 volts and passed through a velocity selector with a magnetic field of 0.020T into the page. The ions follow a straight path through the selector and are then deflected onto a piece of...
I know how to solve a regular question such as x^x, but how would I find:
lim[1-(4/x)]^x
x->inf
My study guide says that I have to use Ln and then L'Hopital's Rule, and I can see how that would work, but what happens to the limit?
\int{\frac{x^3+x^2+x-1}{x^2+2x+2}dx}
I divided the polynomails and got:
\int{(x-1)dx}+\int{\frac{x+1}{x^2+2x+2}dx}
This becomes:
x^2-x+\int{\frac{x}{x^+2x+2}dx}+\arctan{(x+2)}
If I've done this right, how do I integrate the third term?
The arctan should have the (x+2) in brackets but I'm...
Thank you for answering.
Is it assumed that when we see M in this type of question that it is the upper bound?
From where do we get abs(5+3x-f(x))?
My teacher told me it was a Taylor series problem, so the error would be:
abs((1/2)(yo'')(x-xo)^2)
Am I on the right track?
I'm in AP Calculuc and was given a homework package, which is an old university introductory calculus exam. There is one particular question with which I'm having a terrible time.
It is known that f(0)=5 and the tangent line to the graph of f(x) at (0,5) is y=5+3x. It is also known that...
Find the volume formed by rotating the area contained by y=sqrt(6x+4), the y-axis and the line y=2x about the y-axis. Set up, but do not evaluate the integral.
First I graphed it, then did the "washer" method of finding the area of the circle formed, and found that the radius is...
A ladder is against a frictionless wall, elevated at angle theta above the ground.
I have a question about distance components. We find the torque pushing the ladder to the ground by using horizontal distance components: the distances of the weights acting on the ladder multiplied each by...