Average Cost GraphThe total daily cost (in dollars) of producing a mountain bikes is given byC(x) = 1,063+4x+0.09x².The average cost function C(x) decreases until x = c and increases afterwards. If the goal ofthe company is to make the mountain bike as affordable as possible, they should target theproduction level of c mountain bikes daily.Find c. Round to 2 decimal places.mountain bikes daily

Here we have to use the concept of derivatives. Suppose if f(x) is function defined on [a,b] Then…

Answered: Average Cost Graph The total daily cost…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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The growth rate of the speed of sound in relation to the temperature in degrees Fahrenheit is a linear function. The speed of sound at 0 degrees Fahrenheit is 1052.3 feet per second. For every 1 degree Fahrenheit rise in temperature, the speed of sound increases by 1.1 feet per second. A. Identify the initial value of linear function that gives the speed of sound in terms of temperature. B. A 20 degree Fahrenheit rise in temperature would provide what increase in the speed of sound? C. What would the speed of sound be after a 67 degree Fahrenheit rise in temperature?
2. A flu patient is prescribed a course of an antivirus drug. The number of mg of the drug in the bloodstream t hours after the first dose is taken is given by the function A(t) = 400te-³t. a. Sketch the graph of the function in an appropriate window, labeling axes and scale. I b. On what interval(s) is the amount of drug in the bloodstream increasing? Decreasing? c. When is the amount of the drug at a maximum? Label the corresponding point on the graph.
Graph the basic function using a solid line and the transformed function using a dotted line. h(x) = (x - 3)2 - 2 %3D
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
Electronic Components The monthly cost of producingx electronic components is C(x) = 2.15x + 2350.a. Find the monthly average cost function.b. Find the average cost for the production of 100components.
Answer: A carpenter wants to make a rectangular bookcase like the one shown here. It should have a horizontal top, bottom, and middle shelf, and vertical back and two sides. The depth of the bookcase must be 1 ft, and its total volume must be 12 ft. a. Express the total surface area of the bookcase as a function of its height. Answer: b. What height and width of the bookcase will minimize its total surface area?
The value of a brand new car is $28, 000 and the value depreciates 19% every yea. Write a function to represent the value of the car after t years, where the quarterly rate of change can be found from a constant in the function. Round all coefficients in the function to four decimal places, Also, determine the percentage rate of change pe quarter, to the nearest hundredth of a percent. Function: f(t) Growth % increase per quarter Submit Answer
Coal Consumption The following table gives the amount of coal (in thousand short tons) consumed by U. S. utilities to pro- duce electricity. Source: U.S. Department of Energy. Year Consumption 1995 850 2000 986 2005 1037 2010 934 2012 825 (a) Plot the data by letting t be the years since 1990. Would a linear or quadratic function model these data best? (b) Find the quadratic function defined by f(t) = a(t – h)? + k that models the data. Use the highest point as the vertex, (h, k). Then choose (10, 986) as a second point to determine a.

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