36. f(x)=x√x² + 5

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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Answer question 36. Write out the steps.
Fina
26. y =
28. y
=
x23
-10
X
27. y = 4√x + 5√x
29. y = x5/4
30. y = −0.5x² + 0.61x +90 31. y
32. y = (3√x + 1)(x²-x)
34. f(x) = (x+3) 4 (7-x)5
36. f(x)=x√x² + 5
d³y
===x²³
x² + 2x +
X
33. f(x) = 5x
35. y = (x³ - 4x³ + x)-
37. For y = x4 - 3x², find
dx3
38. Social sciences: memory. In a certain memory experi-
ment, a person is able to memorize M words after t mir
utes, where M= -0.001t³ +0.1².
a) Find the rate of change of the number of words
memorized with respect to time.
b) How many words are memorized during the first
10 min (at t= 10)?
c) At what rate are words being memorized after 10
(at t = 10)?
39. Business: average revenue, cost, and profit. Given
revenue and cost functions
R(x) = 50x and C(x) = x²/³ + 750,
15
aegativ
nor G'(3) ex.
(
Transcribed Image Text:Fina 26. y = 28. y = x23 -10 X 27. y = 4√x + 5√x 29. y = x5/4 30. y = −0.5x² + 0.61x +90 31. y 32. y = (3√x + 1)(x²-x) 34. f(x) = (x+3) 4 (7-x)5 36. f(x)=x√x² + 5 d³y ===x²³ x² + 2x + X 33. f(x) = 5x 35. y = (x³ - 4x³ + x)- 37. For y = x4 - 3x², find dx3 38. Social sciences: memory. In a certain memory experi- ment, a person is able to memorize M words after t mir utes, where M= -0.001t³ +0.1². a) Find the rate of change of the number of words memorized with respect to time. b) How many words are memorized during the first 10 min (at t= 10)? c) At what rate are words being memorized after 10 (at t = 10)? 39. Business: average revenue, cost, and profit. Given revenue and cost functions R(x) = 50x and C(x) = x²/³ + 750, 15 aegativ nor G'(3) ex. (
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