110. Does f grow faster, slower, or at the same rate as g as x→∞? Give reasons for your answers.
c. f(x) = 10x^3 + 2x^2, g(x) = e^x

Evaluate the integrals in Exercises 31–78.

33. ∫e^x sec²(e^x - 7)dx

Evaluate the integrals in Exercises 31–78.

64. ∫(from 1 to e)(8ln3 log_3(θ))/θ dθ

In Exercises 129–132 solve the initial value problem.

129. dy/dx = e^(-x-y-2), y(0) = -2

In Exercises 1–24, find the derivative of y with respect to the appropriate variable.

11. y = 5x^(3.6)

Use l’Hôpital’s Rule to find the limits in Exercises 85–108.

99. lim(x→0) (2^sin(x) - 1)/(e^x - 1)

In Exercises 1–24, find the derivative of y with respect to the appropriate variable.

21. y = z arcsec(z) - √(z² - 1), z>1