CALCULUS 1 FINAL EXAM REVIEW

Linearization

Use the Linearization to approximate 5√32.05

Related Rates (Implicit Differentiation)

L’Hopital’s Rule

Optimization

Newton’s MethodUse two iterations of Newton’s Method to approximate the real zeros of the function. Use the provided initial guess.

Integrals (and their applications)

Separable Differential Equations

7) The population P(t)of gerbils grows at a rate proportional to its size. dPdt

=kP, k is some constant P(0) = 10

a) Write an equation for P(t) in terms of k.b) If it takes three years for the population to double, calculate k.