Mylab Math With Pearson Etext -- Standalone Access Card -- For Precalculus (11th Edition)
11th Edition
ISBN: 9780135189795
Author: Michael Sullivan
Publisher: PEARSON
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Chapter B.1, Problem 5E
To determine
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Find
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The revenue (in thousands of dollars) from producing x units of an item is R(x)=8x-0.015 x².
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MATH 122
WORKSHEET 3
February 5, 2025
. Solve the following problems on a separate sheet. Justify your answers to earn full credit.
1. Let f(x) = x² - 2x + 1.
(a) Find the slope of the graph of y = f (x) at the point P = (0,1) by directly
evaluating the limit:
f'(0) = lim (
f(Ax) - f(0)
Ax
Ax→0
(b) Find the equation of the tangent line 1 to the graph of ƒ at P.
What are the x and y intercepts of 1 ?
(c) Find the equation of the line, n, through P that is perpendicular to the tangent line l.
(Line n is called the normal line to the graph of f at P.)
(d) Sketch a careful graph that displays: the graph of y = f (x), its vertex point, its
tangent and normal lines at point P, and the x and y intercepts of these lines.
Bonus: Find the coordinates of the second point, Q, (QP), at which the normal
line n intersects the graph of f.
2. A rock is thrown vertically upward with an initial velocity of 20 m/s
from the edge of a bridge that is 25 meters above a river bed. Based
on Newton's Laws of…
Chapter B Solutions
Mylab Math With Pearson Etext -- Standalone Access Card -- For Precalculus (11th Edition)
Ch. B.1 - In Problems 14, determine the coordinates of the...Ch. B.1 - Prob. 2ECh. B.1 - Prob. 3ECh. B.1 - Prob. 4ECh. B.1 - Prob. 5ECh. B.1 - Prob. 6ECh. B.1 - Prob. 7ECh. B.1 - Prob. 8ECh. B.1 - Prob. 9ECh. B.1 - Prob. 10E
Ch. B.1 - Prob. 11ECh. B.1 - Prob. 12ECh. B.1 - Prob. 13ECh. B.1 - Prob. 14ECh. B.1 - Prob. 15ECh. B.1 - Prob. 16ECh. B.2 - Prob. 1ECh. B.2 - Prob. 2ECh. B.2 - Prob. 3ECh. B.2 - Prob. 4ECh. B.2 - Prob. 5ECh. B.2 - Prob. 6ECh. B.2 - Prob. 7ECh. B.2 - Prob. 8ECh. B.2 - Prob. 9ECh. B.2 - Prob. 10ECh. B.2 - Prob. 11ECh. B.2 - Prob. 12ECh. B.2 - Prob. 13ECh. B.2 - Prob. 14ECh. B.2 - Prob. 15ECh. B.2 - Prob. 16ECh. B.2 - Prob. 17ECh. B.2 - Prob. 18ECh. B.2 - Prob. 19ECh. B.2 - Prob. 20ECh. B.2 - Prob. 21ECh. B.2 - Prob. 22ECh. B.2 - Prob. 23ECh. B.2 - Prob. 24ECh. B.2 - Prob. 25ECh. B.2 - Prob. 26ECh. B.2 - Prob. 27ECh. B.2 - Prob. 28ECh. B.2 - Prob. 29ECh. B.2 - Prob. 30ECh. B.2 - Prob. 31ECh. B.2 - Prob. 32ECh. B.3 - Prob. 1ECh. B.3 - Prob. 2ECh. B.3 - Prob. 3ECh. B.3 - Prob. 4ECh. B.3 - Prob. 5ECh. B.3 - Prob. 6ECh. B.3 - Prob. 7ECh. B.3 - Prob. 8ECh. B.3 - In Problems use Zero (or ROOT) to approximate the...Ch. B.3 - Prob. 10ECh. B.3 - Prob. 11ECh. B.3 - Prob. 12ECh. B.5 - Prob. 1ECh. B.5 - Prob. 2ECh. B.5 - Prob. 3ECh. B.5 - Prob. 4ECh. B.5 - Prob. 5ECh. B.5 - Prob. 6E
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