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**plm2e** 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=√(2)*e^(√(2)x) y` =?

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

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

4. y=[2(x^2+1)]/[√(cos 2x)] y`=?

EVALUATE INTEGRALS

5. ∫ e^t * cos(3e^t - 2) dt

6. ∫(top: π/6, bottom: -π/2) (cos t)/(1-sin t) dt

7. ∫ [ln(x-5)]/(x-5) dx

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

9. ∫(top:3, bottom: √3) 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.