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# Math 140 Calculus for Business

• ###### If you are considering taking a lower-level class than Math 140:
• We encourage you to consider taking the corequisite course—Math 14—which provides additional support for Math 140.
• The next level lower is Math 130 (College Algebra).
•

• ###### Sample of what you should know before taking Math 140:
1. Suppose . Find and simplify
• Solution  2. Find all asymptotes and intercepts of • Solution
Vertical asymptotes: Horizontal asymptote: x-intercept: y-intercept: 3. Find all rational zeros of and factor into linear factors.
• Solution
Possible rational zeros:      4. Simplify • Solution  5. Solve • Solution    • ###### Sample of what you will learn in Math 140:
1. Evaluate • Solution   2. The total cost of buying books is dollars. At what rate is the total cost changing when 64 books are purchased?
• Solution  The total cost is changing at a rate of dollars per book.
3. Use calculus to analyze and graph • Solution       ` `  4. Suppose a demand curve (in dollars per unit) is . Find the price at which 4 units will be demanded, and then compute the consumer surplus at that price.
• Solution    5. Find the critical points of and classify each as a relative maximum, a relative minimum, or a saddle point.
• Solution      so (2, 0) is a relative maximum. so (-2, 0) is a saddle point.