009A Sample Midterm 1

From Math Wiki
Jump to navigation Jump to search

This is a sample, and is meant to represent the material usually covered in Math 9A for the midterm. An actual test may or may not be similar.

Click on the  boxed problem numbers  to go to a solution.

 Problem 1 

Find the following limits:

(a) Find    provided that  

(b) Find  

(c) Evaluate  

 Problem 2 

Suppose the size of a population at time    is given by

(a) Determine the size of the population as    We call this the limiting population size.

(b) Show that at time    the size of the population is half its limiting size.

 Problem 3 

Consider the following function  

(a) Find  

(b) Find  

(c) Find  

(d) Is    continuous at    Briefly explain.

 Problem 4 


(a) Use the definition of the derivative to compute     for  

(b) Find the equation of the tangent line to    at  

 Problem 5 

Find the derivatives of the following functions. Do not simplify.


(b)   where


Contributions to this page were made by Kayla Murray