MATH 221 Midterm: MATH 221 KSU r1u97
15 Feb 2019
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Math 221 - review for test #1: exponential and logarithmic functions: de nitions, properties, derivative and integration, simplify log3. 9: y = log4(cos x) nd y , implicite di erentiation; derivatives of inverse functions xey = y, logarithmic di erentiation: y = q x 1, natural growth and decay, half-life. x+1. P0 = 2 mil, birth rate=20%, death rate=10: linear rst order di erential equations: separation of variables. Solve p = 20p 10, p (0) = 10 : applications: population growth, savings account, inverse trigonometric functions; derivatives. Use implicite di erentiation to nd sin 1(x: indeterminate forms and l"hopital"s rule, find limx (1 + 1. 1 e sin x: hyperbolic functions and inverse hyperbolic functions. Use the de nition of sinh x to solve for x in 2 = sinh x: integration methods: substitutions, trigonometric substitutions and integration by parts.
