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Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter4: Polynomials

Section4.6: Multiplying Polynomials

Problem 5OE

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11.3 If f and g are functions of time, and at time t = 3, f equals 7 and is rising at a rate of 3 units per second, and g equals 5 and is rising at a rate of 7 units per second, then the product fg equals and is rising at a rate of units per second.
The population of a city is expected to be P(x) = x(x2 + 16)−1/2 million people after x years. Find the average population between year x = 0 and year x = 3.
The table time (xi) 1 2 3 4 5 6infections (yi = f(xi)) 32 37 34 48 53 69 depicts the number of newly infected individuals with a contagious, airborne disease atintervals of 1 day over a period of 6 days. Here i = 0, 1, 2, . . . , 5 and the quantities x0 = 1and y0 = 32, respectively, represent the end of the first day of testing for the disease, andnumber of positive tests conducted by the end of that day. (Note: xi represents the end of a testing day, where the values of xi are as tabulated, whileyi represents the number of positive tests conducted by the end of day xi.) (a) Construct a forward difference table for the above data
3. Suppose that a consumer has a utility function u(x1, x2) = x1 + x2. Initially the consumer faces prices (1, 2) and has income 10. If the prices change to (4, 2), calculate the compensating and equivalent variations. [Hint: find their initial optimal consumption of the two goods, and then after the price increase. Then show this graphically.] please do step by step and show the graph
13. Find the minimum and maximum value of the function on the giveninterval.y = 2x 2 + 4x + 5 [-2, 2]
1. We found that the marketing research department for the company that manufactures and sells memory chips for microcomputers established the following price-demand and revenue functions: p(x)=90−3x Price-demand function R(x)=xp(x)=x(90−3x) Revenue function where p(x) is the wholesale price in dollars at which x million chips can besold, and R(x) is in millions of dollars. Both functions have domain 1≤x≤18. A) Which of the following is the graph of the revenue function? (B) Find the output that will produce the maximum revenue. (C) What is the wholesale price per chip that produces the maximum revenue? I stuck at the part where = −3(2x^2+90x) I am supposted to add number in to complete the square inside the parentheses and add outside the parenthes? what I don't what the number is and how to get it? can explain that part to me. Thank You
A machine is now worth $146,200 and will be depreciated linearly over a 6-year period, at which time it will be worth $70,240 as scrap (a) Find the rule of depreciation function (b) What is the domain of f? (c) What will the machine be worth in 3 years?

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