Chapter 9.4, Problem 1QQ

The half-life of plutonium-244 is 80,000,000 years. Find function gives the amount of carbon-14 remaining as a function of time, measured in years.

The cost in dollars of making x items is given by the function Cx)=10x+500. a. The fixed cost is determined when zero items are produced. Find the fixed cost for this item. b.What is the cost of making 25 items? c.Suppose the maximum cost allowed is SI500. What are the domain and range of the cost function, C(x) ?

The number N of beavers in a given area after x years can be approximated by N=5.5100.23x,0x10. Use the model to approximate how many years it will take for the beaver population to reach 78.

The rate of change of an autocatalytic chemical reaction is kQxkx2 where Q is the amount of the original substance, x is the amount of substance formed, and k is a constant of proportionality. Factor the expression.

Use your schools library, the Internet, or some other reference source to find real-life applications of approximations of functions.

6x 2 The derivative of f(x) = 1 / (1-3x²) is given by (1-3x²,² The true percent relative error, induced by evaluating the derivative of the function f(x) at x = 0.577 and then evaluating it again using 3-digit arithmetic with chopping, is 76.7%. True False Hints Hint #1 The true percent relative error induced on evaluating the derivative of the function f(x) at x = 0.577 and then evaluating it again using 4-digit arithmetic with chopping is %.

You have 500 dollars in your bank account. Suppose your money is compounded every month at a rate of 0.4 percent per month. (a) How much do you have after t years? y(t) = = (b) How much do you have after 80 months? y(80) = (function of t)

The rate at which people are becoming infected (in person per day) during the outbreak of a disease was approximated by the function mentioned below, where x is in days and x = 0 corresponds to the start of the outbreak. Complete parts (a) and (b) below. 9 f(x) = 5x e (a) Find the function F(x) that gives total number of people who have become infected by day x given that 12 people were infected when x = 0. Select the correct choice below and fill in the answer box to complete your choice. O A. To find F(x), evaluate the antiderivative of f(x). Therefore F(x) = (Type an exact answer.) O B. To find F(x), evaluate the derivative of f(x). Therefore F(x) = (Type an exact answer.) %3D

A principal of 250 OR is deposited in an account that pays 0.064 interest compounded yearly. Account balance function in response of time (years)is f(x) = P(1+r)* P: initial value r: interest compounded yearly x: time in year a. Find the account balance after 5 years. b. By graphing show if the Account balance function is increasing or decreasng. c. After how many years the account balance will be 12000 OR.