Advanced Placement Calculus 2016 Graphical Numerical Algebraic Fifth Edition Student Edition + Mathxl 1-year License
5th Edition
ISBN: 9780133314533
Author: Prentice Hall
Publisher: Prentice Hall
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The pounds of bananas sold each week at all Metro Seattle Albertsons stores as a function of price, p , in dollars/pound(lb.) is given by q(p) = 100e7.5-1.5p1. Express the Revenue function in terms of p and then find both the first and second derivatives of the revenue function. Type each of these in your text box, using appropriate standard mathematical formatting notation (like that shown above) in Excel.
2. Use Excel over an interval of [0, 6] in increments of .25 to create values for all 3 of your functions from part 1. This is hard! You should be getting the beginning values shown on the next page. Keep at it until you do!! You must create these values by typing in and using the correct formulas.
3. Use Excel to determine exactly where there are any Maximum and/or Minimum values for Revenue. In your text box, explain fully and completely how you determine where to look, and how you know from the First Derivative Test that you have a maximum or a minimum value.
4. Write a…
Water temperature in a river is being modeled as a function of air temperature. If the degrees of freedom for error is 9, R2 = 0.4, and SSE = 200, if the estimated coefficient of air temperature is 0.8, what is the standard error for the coefficient of air temperature? Please report your answer in 3 decimal places.
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- bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.arrow_forwardThe 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.arrow_forwardWhat is the composition of two functions, fg ?arrow_forward
- In Exercises 1-b, use the First Derivative Test to determine the local extreme values of the function, and identify any absolute extrema. Support your answers graphically. 1. y = x² – x - 1 2. y = -2r + 6x² – 3 3. y = 2x4 – 4x² + 1 4. y = xe Larrow_forwardThe graph of the derivative of a function is given. y 4 2 1 For which x is the (original) function increasing? For which x is the (original) function decreasing? The function is increasing for x> v and decreasing for x Enter a number.arrow_forwardUse the First Derivative Test to find the location of all local extrema for the function given below.arrow_forward
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