Basic Technical Mathematics
11th Edition
ISBN: 9780134437705
Author: Washington
Publisher: PEARSON
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Chapter 3.5, Problem 30E
To determine
The range of the given equation
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The cup on the 9th hole of a golf course is located dead center in the middle of a circular green which is 40 feet in radius. Your ball is located as in the picture below. The ball follows a straight line path and exits the green at the right-most edge. Assume the ball travels 8 ft/sec.
Introduce coordinates so that the cup is the origin of an xy-coordinate system and start by writing down the equations of the circle and the linear path of the ball. Provide numerical answers below with two decimal places of accuracy.
50 feet
green
ball
40 feet
9
cup
ball path
rough
(a) The x-coordinate of the position where the ball enters the green will be
(b) The ball will exit the green exactly
seconds after it is hit.
(c) Suppose that L is a line tangent to the boundary of the golf green and parallel to the path of the ball. Let Q be the point where the line is tangent to the circle. Notice that there are two possible positions for Q. Find the possible x-coordinates of Q:
smallest x-coordinate =…
Draw the unit circle and plot the point P=(8,2). Observe there are TWO lines tangent to the circle passing through the point P. Answer the questions below with 3 decimal places of accuracy.
P
L1
L
(a) The line L₁ is tangent to the unit circle at the point
(b) The tangent line L₁ has equation:
X +
(c) The line L₂ is tangent to the unit circle at the point (
(d) The tangent line 42 has equation:
y=
x +
).
Chapter 3 Solutions
Basic Technical Mathematics
Ch. 3.1 - EXAMPLE 5
If , then substitute a3 for t
For the...Ch. 3.1 - EXAMPLE 7
For the functions f(x) = 5x − 3 and g(x)...Ch. 3.1 - In Exercises 1–4, solve the given problems related...Ch. 3.1 - Prob. 2ECh. 3.1 - In Exercises 1–4, solve the given problems related...Ch. 3.1 - Prob. 4ECh. 3.1 - In Exercises 5–12, find the indicated...Ch. 3.1 - In Exercises 5–12, find the indicated...Ch. 3.1 - In Exercises 5–12, find the indicated...Ch. 3.1 - In Exercises 5–12, find the indicated...
Ch. 3.1 - In Exercises 5–12, find the indicated...Ch. 3.1 - In Exercises 5–12, find the indicated...Ch. 3.1 - In Exercises 5–12, find the indicated functions.
A...Ch. 3.1 - In Exercises 5–12, find the indicated...Ch. 3.1 - In Exercises 13–24, evaluate the given...Ch. 3.1 - In Exercises 13–24, evaluate the given...Ch. 3.1 - In Exercises 13–24, evaluate the given...Ch. 3.1 - In Exercises 13–24, evaluate the given...Ch. 3.1 - In Exercises 13–24, evaluate the given...Ch. 3.1 - In Exercises 13–24, evaluate the given...Ch. 3.1 - In Exercises 13–24, evaluate the given...Ch. 3.1 - In Exercises 13–24, evaluate the given...Ch. 3.1 - In Exercises 13–24, evaluate the given...Ch. 3.1 - In Exercises 13–24, evaluate the given...Ch. 3.1 - In Exercises 13–24, evaluate the given...Ch. 3.1 - In Exercises 13–24, evaluate the given...Ch. 3.1 - In Exercises 25–28, evaluate the given functions....Ch. 3.1 - In Exercises 25–28, evaluate the given functions....Ch. 3.1 - In Exercises 25–28, evaluate the given functions....Ch. 3.1 - In Exercises 25–28, evaluate the given functions....Ch. 3.1 - In Exercises 29–32, determine the function y =...Ch. 3.1 - In Exercises 29–32, determine the function y =...Ch. 3.1 - In Exercises 29–32, determine the function y =...Ch. 3.1 - Prob. 32ECh. 3.1 - Prob. 33ECh. 3.1 - Prob. 34ECh. 3.1 - Prob. 35ECh. 3.1 - Prob. 36ECh. 3.1 - Prob. 37ECh. 3.1 - Prob. 38ECh. 3.1 - Prob. 39ECh. 3.1 - In Exercises 39–42, write the equation as given by...Ch. 3.1 - In Exercises 39–42, write the equation as given by...Ch. 3.1 - In Exercises 39–42, write the equation as given by...Ch. 3.1 - In Exercises 43–52, solve the given problems.
A...Ch. 3.1 - In Exercises 43–52, solve the given...Ch. 3.1 - In Exercises 43–52, solve the given problems.
45....Ch. 3.1 - In Exercises 43–52, solve the given problems.
46....Ch. 3.1 - In Exercises 43–52, solve the given problems.
The...Ch. 3.1 - In Exercises 43–52, solve the given problems.
The...Ch. 3.1 - In Exercises 43–52, solve the given problems.
A...Ch. 3.1 - In Exercises 43–52, solve the given problems.
A...Ch. 3.1 -
(a) Explain the meaning of f [f(x)]. (b) Find f...Ch. 3.1 -
If f(x) = x and g(x) = x2, find (a) f [g(x)], and...Ch. 3.2 - Find the domain and range of the function .
Ch. 3.2 - Prob. 2PECh. 3.2 - In Example 8, find p as a function of r if there...Ch. 3.2 - In Exercises 1-4, solve the given problems related...Ch. 3.2 - Prob. 2ECh. 3.2 - In Exercises 1-4, solve the given problems related...Ch. 3.2 - Prob. 4ECh. 3.2 - Prob. 5ECh. 3.2 - Prob. 6ECh. 3.2 - Prob. 7ECh. 3.2 - Prob. 8ECh. 3.2 - Prob. 9ECh. 3.2 - Prob. 10ECh. 3.2 - Prob. 11ECh. 3.2 - Prob. 12ECh. 3.2 - Prob. 13ECh. 3.2 - Prob. 14ECh. 3.2 - In Exercises 15-20, find the domain of the given...Ch. 3.2 - In Exercises 15-20, find the domain of the given...Ch. 3.2 - Prob. 17ECh. 3.2 - In Exercises 15-20, find the domain of the given...Ch. 3.2 - Prob. 19ECh. 3.2 - In Exercises 15-20, find the domain of the given...Ch. 3.2 - Prob. 21ECh. 3.2 - In Exercises 21-24, evaluate the indicated...Ch. 3.2 - In Exercises 21-24, evaluate the indicated...Ch. 3.2 - In Exercises 21-24, evaluate the indicated...Ch. 3.2 - Prob. 25ECh. 3.2 - In Exercises 25-38, determine the appropriate...Ch. 3.2 - Prob. 27ECh. 3.2 - In Exercises 25-38, determine the appropriate...Ch. 3.2 - Prob. 29ECh. 3.2 - In Exercises 25-38, determine the appropriate...Ch. 3.2 - Prob. 31ECh. 3.2 - Prob. 32ECh. 3.2 - Prob. 33ECh. 3.2 - Prob. 34ECh. 3.2 - Prob. 35ECh. 3.2 - In Exercises 25-38, determine the appropriate...Ch. 3.2 - Prob. 37ECh. 3.2 - Prob. 38ECh. 3.2 - Prob. 39ECh. 3.2 - Prob. 40ECh. 3.2 - Prob. 41ECh. 3.2 - Prob. 42ECh. 3.2 - Prob. 43ECh. 3.2 - Prob. 44ECh. 3.2 - Prob. 45ECh. 3.2 - Prob. 46ECh. 3.2 - Prob. 47ECh. 3.2 - Prob. 48ECh. 3.2 - Prob. 49ECh. 3.2 - Prob. 50ECh. 3.2 - Prob. 51ECh. 3.2 - Prob. 52ECh. 3.3 - Prob. 1PECh. 3.3 - Prob. 1ECh. 3.3 - Prob. 2ECh. 3.3 - In Exercises 3 and 4, determine (at least...Ch. 3.3 - Prob. 4ECh. 3.3 - Prob. 5ECh. 3.3 - Prob. 6ECh. 3.3 - Prob. 7ECh. 3.3 - Prob. 8ECh. 3.3 - Prob. 9ECh. 3.3 - Prob. 10ECh. 3.3 - Prob. 11ECh. 3.3 - Prob. 12ECh. 3.3 - Prob. 13ECh. 3.3 - Prob. 14ECh. 3.3 - Prob. 15ECh. 3.3 - Prob. 16ECh. 3.3 - In Exercises 15–18, determine the quadrant in...Ch. 3.3 - In Exercises 15–18, determine the quadrant in...Ch. 3.3 -
In Exercises 19–38, answer the given...Ch. 3.3 -
In Exercises 19–38, answer the given...Ch. 3.3 -
In Exercises 19–38, answer the given...Ch. 3.3 -
In Exercises 19–38, answer the given...Ch. 3.3 -
In Exercises 19–38, answer the given...Ch. 3.3 -
In Exercises 19–38, answer the given...Ch. 3.3 - In Exercises 19–38, answer the given...Ch. 3.3 - In Exercises 19–38, answer the given...Ch. 3.3 - In Exercises 19–38, answer the given...Ch. 3.3 - In Exercises 19–38, answer the given...Ch. 3.3 - In Exercises 19–38, answer the given...Ch. 3.3 -
In Exercises 19–38, answer the given...Ch. 3.3 - In Exercises 19–38, answer the given...Ch. 3.3 - In Exercises 19–38, answer the given...Ch. 3.3 - In Exercises 19–38, answer the given...Ch. 3.3 - In Exercises 19–38, answer the given...Ch. 3.3 - In Exercises 19–38, answer the given questions.
If...Ch. 3.3 - In Exercises 19–38, answer the given...Ch. 3.3 - In Exercises 19–38, answer the given questions.
On...Ch. 3.3 - Prob. 38ECh. 3.4 - Prob. 1PECh. 3.4 - Prob. 2PECh. 3.4 - Prob. 1ECh. 3.4 - Prob. 2ECh. 3.4 - Prob. 3ECh. 3.4 - Prob. 4ECh. 3.4 - In Exercises 5–36, graph the given functions.
5.
Ch. 3.4 - In Exercises 5–36, graph the given functions.
6. y...Ch. 3.4 - In Exercises 5–36, graph the given functions.
7. y...Ch. 3.4 - In Exercises 5–36, graph the given functions.
8. y...Ch. 3.4 - In Exercises 5–36, graph the given functions.
9. s...Ch. 3.4 - In Exercises 5−36, graph the given functions.
10....Ch. 3.4 - In Exercises 5–36, graph the given functions.
Ch. 3.4 - In Exercises 5–36, graph the given functions.
Ch. 3.4 - In Exercises 5–36, graph the given...Ch. 3.4 - Prob. 14ECh. 3.4 - Prob. 15ECh. 3.4 - Prob. 16ECh. 3.4 - In Exercises 5–36, graph the given functions.
Ch. 3.4 - In Exercises 5–36, graph the given functions.
y =...Ch. 3.4 - In Exercises 5–36, graph the given...Ch. 3.4 - In Exercises 5–36, graph the given...Ch. 3.4 - In Exercises 5–36, graph the given...Ch. 3.4 - In Exercises 5–36, graph the given...Ch. 3.4 - In Exercises 5–36, graph the given...Ch. 3.4 - In Exercises 5–36, graph the given functions.
24....Ch. 3.4 - In Exercises 5–36, graph the given functions.
y =...Ch. 3.4 - In Exercises 5–36, graph the given functions.
26....Ch. 3.4 - In Exercises 5–36, graph the given functions.
27....Ch. 3.4 - In Exercises 5–36, graph the given functions.
28....Ch. 3.4 - In Exercises 5–36, graph the given...Ch. 3.4 - In Exercises 5–36, graph the given functions.
Ch. 3.4 - In Exercises 5–36, graph the given...Ch. 3.4 - In Exercises 5–36, graph the given functions.
32....Ch. 3.4 - In Exercises 5–36, graph the given functions.
33....Ch. 3.4 - In Exercises 5–36, graph the given functions.
34....Ch. 3.4 - In Exercises 5–36, graph the given functions.
35....Ch. 3.4 - In Exercises 5–36, graph the given functions.
36....Ch. 3.4 - In Exercises 37–40, use the graph to determine the...Ch. 3.4 - In Exercises 37–40, use the graph to determine the...Ch. 3.4 - In Exercises 37–40, use the graph to determine the...Ch. 3.4 - In Exercises 37–40, use the graph to determine the...Ch. 3.4 - In Exercises 41–70, graph the indicated...Ch. 3.4 - In Exercises 41–70, graph the indicated...Ch. 3.4 - Prob. 43ECh. 3.4 - Prob. 44ECh. 3.4 - Prob. 45ECh. 3.4 - Prob. 46ECh. 3.4 - Prob. 47ECh. 3.4 - Prob. 48ECh. 3.4 - Prob. 49ECh. 3.4 - Prob. 50ECh. 3.4 - Prob. 51ECh. 3.4 - Prob. 52ECh. 3.4 - In Exercises 41–70, graph the indicated...Ch. 3.4 - Prob. 54ECh. 3.4 - Prob. 55ECh. 3.4 - Prob. 56ECh. 3.4 - Prob. 57ECh. 3.4 - Prob. 58ECh. 3.4 - Prob. 59ECh. 3.4 - Prob. 60ECh. 3.4 - Prob. 61ECh. 3.4 - Prob. 62ECh. 3.4 - Prob. 63ECh. 3.4 - Prob. 64ECh. 3.4 - In Exercises 41–70, graph the indicated...Ch. 3.4 - In Exercises 41–70, graph the indicated...Ch. 3.4 - Prob. 67ECh. 3.4 - Prob. 68ECh. 3.4 - Prob. 69ECh. 3.4 - Prob. 70ECh. 3.4 - In Exercises 71‒74, determine whether or not the...Ch. 3.4 - In Exercises 71–74, determine whether or not the...Ch. 3.4 - In Exercises 71–74, determine whether or not the...Ch. 3.4 - In Exercises 71–74, determine whether or not the...Ch. 3.5 - Prob. 1PECh. 3.5 - Prob. 2PECh. 3.5 - Prob. 3PECh. 3.5 - Prob. 1ECh. 3.5 - Prob. 2ECh. 3.5 - Prob. 3ECh. 3.5 - In Exercises 3–18, display the graphs of the given...Ch. 3.5 - Prob. 5ECh. 3.5 - Prob. 6ECh. 3.5 - Prob. 7ECh. 3.5 - Prob. 8ECh. 3.5 - Prob. 9ECh. 3.5 - Prob. 10ECh. 3.5 - Prob. 11ECh. 3.5 - Prob. 12ECh. 3.5 - Prob. 13ECh. 3.5 - Prob. 14ECh. 3.5 - Prob. 15ECh. 3.5 - Prob. 16ECh. 3.5 - Prob. 17ECh. 3.5 - Prob. 18ECh. 3.5 - Prob. 19ECh. 3.5 - In Exercises 19–28, use a graphing calculator to...Ch. 3.5 - Prob. 21ECh. 3.5 - Prob. 22ECh. 3.5 - Prob. 23ECh. 3.5 - Prob. 24ECh. 3.5 - Prob. 25ECh. 3.5 - Prob. 26ECh. 3.5 - Prob. 27ECh. 3.5 - Prob. 28ECh. 3.5 - Prob. 29ECh. 3.5 - Prob. 30ECh. 3.5 - Prob. 31ECh. 3.5 - Prob. 32ECh. 3.5 - Prob. 33ECh. 3.5 - Prob. 34ECh. 3.5 - Prob. 35ECh. 3.5 - Prob. 36ECh. 3.5 - Prob. 37ECh. 3.5 - Prob. 38ECh. 3.5 - Prob. 39ECh. 3.5 - Prob. 40ECh. 3.5 - In Exercises 41–48, a function and how it is to be...Ch. 3.5 - Prob. 42ECh. 3.5 - Prob. 43ECh. 3.5 - Prob. 44ECh. 3.5 - Prob. 45ECh. 3.5 - Prob. 46ECh. 3.5 - Prob. 47ECh. 3.5 - Prob. 48ECh. 3.5 - Prob. 49ECh. 3.5 - Prob. 50ECh. 3.5 - Prob. 51ECh. 3.5 - Prob. 52ECh. 3.5 - Prob. 53ECh. 3.5 - Prob. 54ECh. 3.5 - Prob. 55ECh. 3.5 - Prob. 56ECh. 3.5 - In Exercises 53–60, solve the indicated equations...Ch. 3.5 - In Exercises 53–60, solve the indicated equations...Ch. 3.5 - Prob. 59ECh. 3.5 - Prob. 60ECh. 3.5 - Prob. 61ECh. 3.5 - Prob. 62ECh. 3.5 - Prob. 63ECh. 3.5 - Prob. 64ECh. 3.5 - Prob. 65ECh. 3.5 - Prob. 66ECh. 3.5 - Prob. 67ECh. 3.5 - Prob. 68ECh. 3.6 - Prob. 1PECh. 3.6 - Prob. 1ECh. 3.6 - Prob. 2ECh. 3.6 - Prob. 3ECh. 3.6 - Prob. 4ECh. 3.6 - Prob. 5ECh. 3.6 - Prob. 6ECh. 3.6 - Prob. 7ECh. 3.6 - Prob. 8ECh. 3.6 - Prob. 9ECh. 3.6 - Prob. 10ECh. 3.6 - Prob. 11ECh. 3.6 - Prob. 12ECh. 3.6 - Prob. 13ECh. 3.6 - Prob. 14ECh. 3.6 - Prob. 15ECh. 3.6 - Prob. 16ECh. 3.6 - Prob. 17ECh. 3.6 - Prob. 18ECh. 3.6 - Prob. 19ECh. 3.6 - Prob. 20ECh. 3.6 - Prob. 21ECh. 3.6 - Prob. 22ECh. 3.6 - Prob. 23ECh. 3.6 - Prob. 24ECh. 3.6 - Prob. 25ECh. 3.6 - Prob. 26ECh. 3.6 - Prob. 27ECh. 3.6 - Prob. 28ECh. 3.6 - Prob. 29ECh. 3.6 - Prob. 30ECh. 3 - Prob. 1RECh. 3 - Determine each of the following as being either...Ch. 3 - Prob. 3RECh. 3 - Prob. 4RECh. 3 - Prob. 5RECh. 3 - Prob. 6RECh. 3 - Prob. 7RECh. 3 - Prob. 8RECh. 3 - Prob. 9RECh. 3 - Prob. 10RECh. 3 - Prob. 11RECh. 3 - Prob. 12RECh. 3 - Prob. 13RECh. 3 - Prob. 14RECh. 3 - Prob. 15RECh. 3 - Prob. 16RECh. 3 - Prob. 17RECh. 3 - Prob. 18RECh. 3 - Prob. 19RECh. 3 - Prob. 20RECh. 3 - Prob. 21RECh. 3 - Prob. 22RECh. 3 - Prob. 23RECh. 3 - Prob. 24RECh. 3 - Prob. 25RECh. 3 - Prob. 26RECh. 3 - Prob. 27RECh. 3 - Prob. 28RECh. 3 - In Exercises 29–38, plot the graphs of the given...Ch. 3 - Prob. 30RECh. 3 - Prob. 31RECh. 3 - Prob. 32RECh. 3 - Prob. 33RECh. 3 - Prob. 34RECh. 3 - Prob. 35RECh. 3 - Prob. 36RECh. 3 - Prob. 37RECh. 3 - Prob. 38RECh. 3 - Prob. 39RECh. 3 - Prob. 40RECh. 3 - Prob. 41RECh. 3 - Prob. 42RECh. 3 - Prob. 43RECh. 3 - Prob. 44RECh. 3 - Prob. 45RECh. 3 - Prob. 46RECh. 3 - Prob. 47RECh. 3 - Prob. 48RECh. 3 - Prob. 49RECh. 3 - Prob. 50RECh. 3 - Prob. 51RECh. 3 - Prob. 52RECh. 3 - Prob. 53RECh. 3 - Prob. 54RECh. 3 - Prob. 55RECh. 3 - Prob. 56RECh. 3 - Prob. 57RECh. 3 - Prob. 58RECh. 3 - Prob. 59RECh. 3 - Prob. 60RECh. 3 - Prob. 61RECh. 3 - Prob. 62RECh. 3 - Prob. 63RECh. 3 - Prob. 64RECh. 3 - Prob. 65RECh. 3 - Prob. 66RECh. 3 - Prob. 67RECh. 3 - Prob. 68RECh. 3 - Prob. 69RECh. 3 - Prob. 70RECh. 3 - Prob. 71RECh. 3 - Prob. 72RECh. 3 - Prob. 73RECh. 3 - Prob. 74RECh. 3 - Prob. 75RECh. 3 - Prob. 76RECh. 3 - Prob. 77RECh. 3 - Prob. 78RECh. 3 - Prob. 79RECh. 3 - Prob. 80RECh. 3 - Prob. 81RECh. 3 - Prob. 82RECh. 3 - Prob. 83RECh. 3 - Prob. 84RECh. 3 - Prob. 85RECh. 3 - Prob. 86RECh. 3 - Prob. 87RECh. 3 - Prob. 88RECh. 3 - Prob. 89RECh. 3 - Prob. 90RECh. 3 - Prob. 91RECh. 3 - Prob. 92RECh. 3 - Prob. 93RECh. 3 - Prob. 94RECh. 3 - Prob. 95RECh. 3 - Prob. 96RECh. 3 - Prob. 1PTCh. 3 - Prob. 2PTCh. 3 - Prob. 3PTCh. 3 - Prob. 4PTCh. 3 - Prob. 5PTCh. 3 - Prob. 6PTCh. 3 - Prob. 7PTCh. 3 - Prob. 8PTCh. 3 - Prob. 10PTCh. 3 - Prob. 11PTCh. 3 - From the table in Problem 11, find the voltage for...
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