Two copies of the Sample Exam are available in PDF format here. Note that the specific problems vary from exam to exam, but not by very much.

Second exam for Math 231 (Calculus I) at the City University of New York, College of Staten Island.

This exam is to be taken with referring to your text, notes, other people, whether taking the exam or not, and without use of a calculator. You are not expected to simplify your answers.

First Problem

Below is the graph of a function f(x). Label on the graph the roots, local maxima and minima, and inflection points.

Second Problem

Below is the graph of a function f(x). Plot your visual approximation to f'(x).

Third Problem

Find the local maxima and global maximum of p(x)=2+2-18x-18, for -3≤x≤4.

Fourth Problem

Assume that oil spilled from a ruptured tanker spreads in a circular pattern whose area increases at a constant rate of 200 square feet per second.How fast is the radius of the spill increasing when the radius of the spill is 60 feet?

Fifth Problem

Give a formula for the tangent line to j(x)= at the point (9,3).

Created by Mathematica  (March 26, 2007)