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Unformatted text preview: Final Review Basic Calculus The exam will be in our lecture room, 8:30-11:30am on Tuesday, May 11. The exam will cover 0.1-6, 1.1-4,6-8, 2.1-7, 3.1-2, 4.1-6, 5.1-2, 6.1,3-5, 7.1-4. No calcu- lators. No formula sheet. In the following list, numbers in parentheses are sample problems from the homework. Exam problems will be from this list and the lectures. Ch 0. Functions 0.1. Functions and their graphs: (21,25,53) domain of a function (no zero in the denominator, no negative number in a square root). 0.2. Some important functions: (5,7,27) Linear function and quadratic functions, polynomials and rational functions; absolute value | x | and piecewise defined functions. 0.3. Algebra of functions: (25) Arithmetic and composition of functions. 0.4. Zeros of functions: (5,19,25) Use quadratic formula x = b b 2 4 ac 2 a to solve equations and factor polynomials. 0.5. Exponents and power functions: (85,89) Radicals and exponents : n b m = b m/n . Exponent laws : b r b s = b r + s , ( b r ) s = b rs , ( ab ) r = a r b r , b r b s = b r s , 1 b r = b r , parenleftbigg a b parenrightbigg r = a r b r . Compound interest : A = P (1 + i ) n with interest rate i per period for n periods. Or A = P parenleftbigg 1 + r m parenrightbigg mt with interest rate r per year, m interest period per year for t years. 0.6. Functions and graphs in applications: (11,15,25) Function models: material needed to make boxes; cost, revenue and profit: P ( x ) = R ( x ) C ( x ) . Break even points: when P ( x ) = 0....
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- Spring '10