Question

i need help with these questions! struggling with them!

Name: Tuesday, June 11, 2019 Homework 2 Due: Tuesday, June 18, 2019 Show all work. Credit will not be given for partial answers. 1. Find all vertical and horizontal asymptotes for the following functions using limits. f(x) 22r +2 f(x) = r+5 z2-3r 1 g(r) q(z) 1 3-52+6x 2. What is the degree of the given polynomial? -2+ x -1 f(x)= x+ 1 +5 f(z) = y + h(z) 100r2 +20 +52 h(t) t(t+1 g(x) 3 3. Sketch the graphs of the following functions, labeling any vertical and horizontal asymptotes. 32 f(x)= 3r f(x) (z) = -2-2 -6 f(x)e1 f(x)= In(r+2) f(a) Inz+2 4. What is the maximum mumber of of x-intercepts a polynomial of degree 6 can have? What is the minimum? Justify each answer. 5. What is the maximum number of x-intercepts a polynomial of degree 13 can have? What is the minimum? Justify each answer 6. A company manufacturing surfboards has fixed costs of $300 per day and total costs of $5, 100 per day at a daily output of 20 boards (a) Assuming the total cost per day, C(z), is linearly related to the total output per day, z, write an equation for the cost function. (b) The average cost per board for an output of z boards is given by T(z) = - the average cost function (c) Sketch a graph of the average cost function, including any asymptotes, for 1 Find 30 (d) What does the average cost per board tend to as production increases? 7. Write the expression in logarithmic form if given an exponential expression, and similarly write the expression in exponential form if given the logarithmic form. logs5 2 n 1 0 log 81r DA B 3 27 9-272/3 8. Evaluate the following expressions without using a calculator. log 10,000 Ine-2 Tuesday, June 11, 2019 Name: 9. Simplify the following using properties of logarithms log A2 logc AB 2 n e 10. Solve for log, 8log,9 - log, 6 log, (r-4) log, log log, 21 log log 4log, 8+2 log, 2 11. Find the value of an investment of $24,000 in 7 years if it earns an annual rate of 4.25% compounded continuously 12. How many years (to two decimal places) will it take an investment of $17,000 to grow to $41, 000 if it is invested at 2.95% compounded continuously?

Answer 1

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