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##### Math problems

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Question;1. (2 pts each) Look at the graphs in;exercises #36, 44, 63, 66, 68 on pages 88-89 in Section 1.2.;For each graph, does it represent a;one-to-one function? (Yes or No?) (no;explanation required);1a. #36_______ 1b. #44________ 1c. #63_______ 1d.;#66_______ 1e. #68;2. (6 pts) Psychologist use and exponential model;of the learning process, where cis the total number of tasks to be;learned, kis the rate of learning;expressed as a decinal, t is time in;days, and f(t) is the number of tasks;learned.;Suppose you are required to learn new 25 tasks for a new job;assignment and the rate of learning new tasks in this job assignment is 20%;how many of the tasks will you have learned in 7 days? Show work, round your final answer to the;nearest whole number.;3. (6 pts) $15,000;is invested in an account paying 2.5% annual interest compounded quarterly.;Find the;amount of money in the account at the end of 10 years. Show;work, round your final answer to the nearest penny.;(Use;the compound interest formula found in Example 4 on page 404.);4. (2;pts) Convert to a logarithmic equation: 8x = 2401. (no work required);5.;(10 pts) Express in terms of sums and;differences of logarithms: Show work.;6. (6 pts) The;formula for a rockets maximum velocity is given by the formula:, where v is the;rockets velocity, t is the firing;time in seconds, c is the velocity of;the exhaust, and R is the ratio of;the mass of the rocket filled with fuel to the mass of rocket without fuel.;Find the maximum velocity of a rocket with a mass ratio of 20, and;exhaust velocity of 2.7 km/s and a firing time of 10 s. Show;work, round your final answer to the nearest hundredth.;7. (2 pts each) Use a;calculator (standard scientific calculator or an online graphing calculator) to;find each of the following numerical values.Write your answer rounded to 4;decimal places (i.e., the nearest ten thousandth).;(a) 16 ?2.8;(b) e 3.72;(c) ln(2,456);8a. (2 pts) _______ (fill in the blank);For parts 8b and 8c, let.;8b. (2 pts) Write the exponential form of the equation.;8c. (6 pts) Determine the numerical value of x, in simplest form. Show work.;9. (10 pts);Use composition of functions to show;that the functions;and are inverse functions.;That is;carefully show thatand show that. Show;work.;10. Let;(a.;10 pts) Find the inverse function of f.;Show work.;(b. 6 pts) What is the;domain of f? What is the domain of;the inverse function?;11.;(3 pts each) Letf(x);= e? x;? 1.;Answers can be stated without;additional work/explanation.;(a);The;graph of f is transformations of the graph;of y = ex. Describe the transformations.;(b) What is the y-intercept?;(c) What is the domain of f?;(d) What is the range of f?;(e) What is the horizontal;asymptote?;(f) Which is the graph of f?;Section;5.5;Exponential;Equation;Solve the;exponential equation =

Paper#60914 | Written in 18-Jul-2015

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