Question

I have to help teach this class tomorrow for my Senior Seminar Math class. The lesson is over Exponential and Logarithmic Functions and L'Hospital's Rule. I have all the problems needed to review this lesson, but i can not solve any of them. My teaching partner and I have had schedule conflicts and we are now on our own. It is late starting but any help or advise would be greatly appreciated. I have not had calculus in 5 years.



1. y=ã(2)*e^(ã(2)x) y` =?

2. y=ln(sec^(2)x) y`=?

3. y=9^(2t) y`=?

4. y=[2(x^2+1)]/[ã(cos 2x)] y`=?


EVALUATE INTEGRALS
5. ç e^t * cos(3e^t - 2) dt

6. ç(top: ƒÎ/6, bottom: -ƒÎ/2) (cos t)/(1-sin t) dt

7. ç [ln(x-5)]/(x-5) dx

8. ç(top: e, bottom: 1) (1/x) * (1+ 7 ln x)^(-1/3) dx

9. ç(top:3, bottom: ã3) dt/(3+t^2)



Solve for Y

10. 3^y = 3 ln x y=?



11. lim (x¨0) (3^x - 1) / x

12. lim (x¨0) (4 - 4e^x) / xe^x

13. lim (y¨0+) e^(-1/y) ln y



My partner has the other 13 problems and his are basically the same. I know this is a lot but any help with any of these would be greatly appreciated.

Answer 1

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