EBK THOMAS' CALCULUS
14th Edition
ISBN: 9780134654874
Author: WEIR
Publisher: VST
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Chapter A.3, Problem 45E
To determine
Graph the two equations and determine whether a temperature at which a Celsius thermometer gives the same numerical reading as a Fahrenheit thermometer and if so, find it.
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#2
2. We want to find the inverse of f(x) = (x+3)²
a. On the graph at right, sketch f(x).
(Hint: use what you know about
transformations!) (2 points)
b. What domain should we choose to
get only the part of f (x) that is one-
to-one and non-decreasing? Give
your answer in inequality notation. (2
points)
-
c. Now use algebra to find f¯¹ (x). (2
points)
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1
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-4
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3
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1. Suppose f(x) =
2
4
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x+3
and g(x) = ½-½. Find and fully simplify ƒ(g(x)). Be sure to show all
x
your work, write neatly so your work is easy to follow, and connect your expressions
with equals signs. (4 points)
Chapter A.3 Solutions
EBK THOMAS' CALCULUS
Ch. A.3 - In Exercises 1 and 2, a particle moves from A to B...Ch. A.3 - Prob. 2ECh. A.3 - Describe the graphs of the equations in
Ch. A.3 - Prob. 4ECh. A.3 - Prob. 5ECh. A.3 - Prob. 6ECh. A.3 - Prob. 7ECh. A.3 - Prob. 8ECh. A.3 - Prob. 9ECh. A.3 - Prob. 10E
Ch. A.3 - Prob. 11ECh. A.3 - In Exercises 9–15, write an equation for each line...Ch. A.3 - Prob. 13ECh. A.3 - Prob. 14ECh. A.3 - Prob. 15ECh. A.3 - In Exercises 16 and 17, find the line’s x-and...Ch. A.3 - In Exercises 16 and 17, find the line’s x-and...Ch. A.3 - Is there anything special about the relationship...Ch. A.3 - Prob. 19ECh. A.3 - Prob. 20ECh. A.3 - Prob. 21ECh. A.3 - Prob. 22ECh. A.3 - Prob. 23ECh. A.3 - Prob. 24ECh. A.3 - Prob. 25ECh. A.3 - Prob. 26ECh. A.3 - Prob. 27ECh. A.3 - Prob. 28ECh. A.3 - Prob. 29ECh. A.3 - Prob. 30ECh. A.3 - Describe the regions defined by the inequalities...Ch. A.3 - Describe the regions defined by the inequalities...Ch. A.3 - Prob. 33ECh. A.3 - Describe the regions defined by the inequalities...Ch. A.3 - Prob. 35ECh. A.3 - Write a pair of inequalities that describe the...Ch. A.3 - Prob. 37ECh. A.3 - Prob. 38ECh. A.3 - Prob. 39ECh. A.3 - Prob. 40ECh. A.3 - Prob. 41ECh. A.3 - Insulation According to the figure in Exercise 41,...Ch. A.3 - 43. Pressure under water The pressure p...Ch. A.3 - Reflected light A ray of light comes in along the...Ch. A.3 - Prob. 45ECh. A.3 - Prob. 46ECh. A.3 - Prob. 47ECh. A.3 - Show that the triangle with vertices A(0, 0), ,...Ch. A.3 - Prob. 49ECh. A.3 - Prob. 50ECh. A.3 - Prob. 51ECh. A.3 - Prob. 52E
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