hi friends,
plz i send in attachements a file contians questions need for sullotion plz help me i have test tommorow.
thnks.
well, if you need this stuff for a test tomorrow, it would be more beneficial to you to tell us what you have tried and allow us to help you work through it.
for question one, you want $\displaystyle \int_{- \sqrt{3}}^{\sqrt{3}} \left( 3 - x^2 \right)~dx = 2 \int_0^{\sqrt{3}} \left( 3 - x^2 \right)~dx$
do you know why? do you see why i have those limits?
what have you tried for the others?
for question 6, you have:
$\displaystyle \frac {dx}{dy} - e^{y - x} = 0$ with $\displaystyle x(1) = 0$
rewrite:
$\displaystyle \frac {dx}{dy} = e^{y - x} = e^y \cdot e^{-x}$
$\displaystyle \Rightarrow e^x ~dx = e^y~dy$
now integrate both sides and continue
1st thnkx alot for helping me really.
2nd i tried to answer this in papers and i don't have time to write in the forums that's why i put just the questions,and i alrready used the rules u told me really but at final i didn't find the answer.
so if u want can u comlete yr help with tel me the right answer 4 qustions.
thnks agian.