The business manager of a company that produces in-ground outdoor spasdetermines that the cost (in dollars) of producing x spas in thousands ofdollars is given byC(x)=0.04x² +4.1x+100Find the average rate of change in cost if production is changed from10 in-ground outdoor spas to 11 in-ground outdoor spas.$149,940$145,000$4,994o $4,940

Average Rate of Change: The formula to calculate the average rate of change of a function f from x1…

Answered: The business manager of a company that…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The value of China's exports of automobiles and parts (in billions of dollars) is approximately f(x) = 1.8208e-3387, where x = 0 corresponds to 1998. In what year did/will the exports reach $11.1 billion? Give your answer as the year, with at least one decimal place Question Help: Video Submit Question
.034x The assets (in billions of dollars) for a financial firm can be approximated by the function A(x) = 319e where x = 7 corresponds to the year 2007. Find the assets in each of the following years. (a) 2011 (b) 2015 (c) 2017 (a) Which of the following describes how to find the assets in 2011 using the given information? Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal.) .034x O A. To find the assets in 2011, find the intersection point of the graphs y = 319e and y = 2011 are represented by the y-coordinate. O B. To find the assets in 2011, substitute for x and evaluate to find A(x). The assets in
A price increases 5% due to inflation and is then reduced 10% for a sale. Express the final price as a function of the original price, P.
3. The height of a rocket, h, is increasing at a rate of 18 feet per second. If its height at five seconds is 118 feet, then write an equation for h as a function of time, t, in seconds since it was fired.
Differentiate the function. y = ln (square root of 5+8x/5-8x)
The U.S. population can be modeled by the function y=165.6x¹.345, where y is in thousands and x is the number of years after 1800. (a) What was the population in 1970, according to this model? (b) is the graph of this function concave up or concave down? What does this mean? (c) Use numerical or graphical methods to find when the model estimates the population was 94,150,000. (a) According to the model, the population in 1970 was thousands. (Round to the nearest integer as needed.)
A 12-inch tall sunflower is planted in a garden and the height of the sunflower increases by 8% per day. What is the 1-day percent change in the height of the sunflower? At any given moment, the height of the sunflower is what percent of its height 1 day prior? What is the 1-day growth factor for the height of the sunflower? Write a function f(t) that determines the height of the sunflower (in inches) in terms of the number of days t since it was planted. What does f(4) mean in the context of this problem? If the sunflower is 23 inches tall, then how many days has the sunflower been growing for?
Suppose the weight (in pounds) of a baby boy x months old, for his first 10 months can be approximated by the function. f(x)=1.6x+8.3. Find the predicted weight at the age of 3 months .
A cube has an edge of 5 feet. The edge is increasing at the rate of 4 feet per minute. Express the volume of the cube as a function of m, the number of minutes elapsed. Hint:Remember that the volume of a cube is the cube (third power) of the length of a side. V (m) = feet³
The cost of renovating p%of pollutants from a coal -fired power plant can be given by the following function c(p)=8000p/100-p with c being the cost in dollars, What is the cost of to remove 25% and the cost of removing 75%? What do you notice about the values? What could the cost be to remove 100%? Explain your answer.
48
A population of amoebas in a petri dish will triple in size every hour. At the start of an experiment the population is 800. The function , where x is the number of hours, models the population growth. How many amoebas are in the petri dish after 9 hours?

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