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by: Mr. Jayde Auer
Mr. Jayde Auer
GPA 3.97

Holly Dickin

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Holly Dickin
Class Notes
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This 3 page Class Notes was uploaded by Mr. Jayde Auer on Friday October 23, 2015. The Class Notes belongs to MATH 143 at University of Idaho taught by Holly Dickin in Fall. Since its upload, it has received 19 views. For similar materials see /class/227757/math-143-university-of-idaho in Mathematics (M) at University of Idaho.

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Date Created: 10/23/15
Week 13 Applications of Exponential Equations Compound Interest Formula OLL 67 l The amount A after t years due to a principal P invested at an annual interest rate r compounded n times per year is Compounded Continuously OLL 672 When the interest is compounded continuously n gt 00 then Present Value Formula OLL 673 Exponential Growth OLL 68 1 Many natural phenomena have been found to grow exponentially A model for this situation is Radioactive Decay OLL 682 All radioactive materials follow the law of uninhibited decay The amount of radioactive material present at time t is given by the model Newton s Law of Cooling OLL 683 The temperature of a heated object cools proportional to the temperature of the surroundings and eventually approaches that temperature Holly Dickin Page 1 41 02009 WEEK 9 R6 REVIEW OF SYNTHETIC DIVISION THE REAL ZEROS OF A POLYNOMIAL FUNCTION The Division Algorithm The Remainder Theorem The Factor Theorem The Rational Zeros Theorem The Number of Zeros Theorem Steps 1 Use the rational zeros theorem to make a list of potential rational zeros 2 From the list nd a c such that fc 0 or use synthetic division to nd a 0 remainder 3 Use synthetic diVision and the diVision algorithm to simplify f 4 Repeat steps 2 and 3 as necessary Zero Product Property The Intermediate Value Theorem COMPLEX ZEROS THE FUNDAMENTAL THEOREM OF ALGEBRA The Fundamental Theorem of Algebra Theorem Conjugate Paris Theorem Week 11 61 COMPOSITE FUNCTIONS Given two functions f and g the composite function denoted by f o g read as f composed with g is de ned by Finding the domain of a composite function 62 INVERSE FUNCTIONS O A function is onetoone if for any choice of elements X1 and X2 with X1 i X2 the corresponding values fX1 and fXz are unequal fX1 i fXz 0 If a graph of a function is known you can use the to determine whether the function is onetoone 0 Every onetoone function has an function Properties of Inverse Functions f 391 x Domain of f x Range of f x f391fx ff391x 7 Steps to Finding the Inverse of a One to One Function 1 2 63 EXPONENTIAL FUNCTIONS Holly Dickin Page 1 4 102009


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