CALCULUS:GRAPHICAL...,AP ED.-W/ACCESS
5th Edition
ISBN: 9780133314564
Author: Finney
Publisher: SAVVAS L
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In Exercises 43 and 44, find all derivatives of the function.
3
44. y = 120
43. y =
2
Please solve and show full work.
In Exercises 93 and 94, find the derivative using the definition.
93. ƒ(t) = 1/( 2t + 1 )
94. g(x) = 2x2 + 1
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- 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…arrow_forwardCourse: Calculus I Suppose second derivative of a function is known: d2 f(x) /dx2 = x2 - 5It is also known that df(0)/dx = 3 and that f(2) = 2. Determine which is value of function f(x)arrow_forwardDifferentiate the function. 5/1-x y = y' =arrow_forward
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