Equations Involving Vectorssss...
hey guys...stuck on a homework problem here... very simple but...im not sure how to start...
Here is the question: Find a vector equation and parametric equations for:
The line through the point (1,0,6) and perpendicular to the plane x + 3y +z =5
can i...
I'm having a little trouble with the following problem. here it is...
Determinte whether a_n is convergent for...
a_n = \frac{2n}{3n+1}
How would i go about solving this? Can i just simply take the limit and use L'Hospital's rule to see if it diverges or converges? Or is it a little...
Hey everyone...I need to find the volume of the following shape...
y= \frac{1}{x}, y=0, x=1, x=3
rotated about y=-1
ok so, i drew out the shape, and for the radius i came up with:
r= \frac{1}{x} + 1
I think that's correct...so assuming that my radius is right, then the...
ok here is the integral...sorry for the laziness...
integral of dt/(t^4)-25
would this just turn out to be (t^4)-25 since you can bring up the denominator to the top as (something)^-1...then just take the antiderivative...? hope that makes sense
edit: ok that won't work...so I think i...
hey everyone,
I need some help solving the following problem. I am kind of confused on where to start. here is the question from the book.
A carnot refrigerator is operated between two heat reservoirs at temperatures of 320K and 270K.
a) If in each cycle the refrigerator receives 415J...
You have the basic concept down. I guess the most effective way to get good is to practice. I used to be horrible at integrals, but i have gotten much better, yet I am no expert...i practiced a lot. get familiar with all of the different techniques of integrals, like u substitution, trig sub, by...
Ok i have another problemo here...
if F(x) = \int_{-x}^{x} \frac{dt}{1+t^2}
Find F(1) and F'(1)...I need some assistance...the anti derivative is
arctan(t) so then... do i set that equal to f(1) and solve for t? and then for F', take the derivative and then solve for t again? I...
Hey what's up..I need a little help with the following problem.
If \int_{-\frac{\pi}{2}}^{M} \cos x dx= 1.5}, find M.
How do I go about doing this? I know that...the anti derivative of cos is sin, and that \sin x \right]_{-\frac{pi}{2}}^{M} = 1.5
Any help would be greatly appreciated...
hey what's up guys, I need some help solving a homework problem for physics...
here is the question.
A gasonline engine has a power output of 180 kW (241hp). Its thermal efficiency is 28%.
a) How much heat must be supplied to the engine per second?
b) How much heat is discarded by the...
Ok, here is the integral i seem to be having some issues with. I know there's a very simple step I am missing.
\int_{}^{} e^x \sin(\pi x) dx
i attempted to do this using by parts integration.
I tried u = \sin(\pi x) so du= \pi \cos(\pi x) dx
so then dv= e^x dx and v= e^x...