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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Students have asked these similar questions
In Exercises 1-4, find the first derivative of the function.
1. f(x) = V4 –x
2. f(x) =
V9 - x?
Differentiate the function.
5/1-x
y =
y' =
Quantity vs. Rate-of-Change
The projected number of senior citizens in the U.S. for the years 1995 through 2030 can be modeled by N(x), million senior citizens, where x is the number of years after 2000.
N(x) = 0.03x2 + 0.315x + 34.23
(a) Find the derivative of N(x) and use it to complete the model statement below. (Refer back to Section 3.2 of your text (or ebook) for simple derivative rules.)
N'(x)=
--select units--
O gives the projected rate at which the number of senior citizens is changing x years after 2000, for the years 1995 through
2030.
Use the appropriate function from above to answer questions b through d.
(b) What is the projected number of senior citizens in the year 2025? (Round your answers to 3 decimal places.)
million senior citizens
(c) What is the projected rate of change of the number of senior citizens in 2025? (Round your answers to 3 decimal places.)
million senior citizens per year
(d) The Census Bureau predicts that in 2030, 20.1% of the U.S. population will…
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- 5-arrow_forwardDifferentiate the function. 3 + 6x g(x) 7 - 2x g'(x) =arrow_forwardLook for three (3) mathematical formulas related to your chosen field like engineering, health science, or technology. Write a brief description or explanation about the use of this formula in that field. Find the derivative of this function (formula) with respect to a specific variable. See the example below. Example: Field: MEDICINE Name of Formula: Young's Rule Age of Child in Years Child's dose = x Adult dose Age of Child in Years + 12 Description: This formula is used to determine the amount of drug dosage for children over 1 year of age up to 12 years. Presentation of the Formula using Variables: [Note: If the formula is already stated in variable form, no need to do this part.] ас y = а or y %3 c + 12 c + 12 where: y = child's dose c = age of child in years a = adult dose Computation of the derivative of y with respect to c This means that a will be considered as constant. For a formula with more than 2 variables, you are free to choose which among the variable or variables will…arrow_forward
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