Homework Statement
Determine which of the following are subspaces of P3:
a) all polynomials a0+a1x+a2x^2+a3x^3 where a0=0
b) all polynomials a0+a1x+a2x^2+a3x^3 where a0+a1+a2+a3=0
c) all polynomials a0+a1x+a2x^2+a3x^3 for which a0, a1, a2, a3 are integers
d) all polynomials of the form...
wow, thanks you guys. this is definitely something that I never would have done. we spent like two seconds on product sum rules and I didn't really understand that they could be used like this. i'll need to write this down and stare at it for a couple minutes but thanks! I sense a passing grade...
Homework Statement
\int \frac{3cosx-10sinx}{10cosx+3sinx} from -pi/3 to pi/3
Homework Equations
some sort of identity maybe?
The Attempt at a Solution
well...I made the mistake of saying the answer was zero since it's an odd function (yes, i know this is ridiculously not right) and...
Homework Statement
Let In=the integral from 0 to pi/2 of sinnxdx
show that (I2n+1)/(I2n)=(2n+1)/(2n+2)
Homework Equations
integral from 0 to pi/2 of sin2n=(2n-1)pi/4n
The Attempt at a Solution
I can't write down all that I've done because it's just too ridiculous. I've tried lots...