PRECALCULUS: MATHEMATICS FOR CALCULUS
7th Edition
ISBN: 9781305718906
Author: Stewart
Publisher: CENGAGE L
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Textbook Question
Chapter 9.1, Problem 70E
Equilibrium of Forces The forces F1, F2, …, Fn acting at the same point P are said to be in equilibrium if the resultant force is zero, that is, if
70. F1 = i − j, F2 = i + j, F3 = −2i + j
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The graph of f(x) is given below. Select all of the true statements about the continuity of f(x) at x = −3.
-7-6-
-5-
+1
23456
1 2 3
4 5 67
Select the correct answer below:
○ f(x) is not continuous at x =
f(x) is not continuous at x =
f(x) is not continuous at x =
f(x) is continuous at x = -3
-3 because f(-3) is not defined.
-3 because lim f(x) does not exist.
2-3
-3 because lim f(x) = f(−3).
2-3
Could you explain how this was solved, I don’t understand the explanation before the use of the shift property
As well as the simplification afterwards
Question
The function f(x) is shown in the graph below. Which of the following statements are true? Select all that apply.
f(x)
12
10
-16
-14
-12
-10
-8
+
-4
"
10
12
14
16
a
Select all that apply:
☐ Condition 1 is satisfied.
☐ Condition 2 is satisfied.
☐ Condition 3 is satisfied.
☐ f(x) is continuous.
Chapter 9 Solutions
PRECALCULUS: MATHEMATICS FOR CALCULUS
Ch. 9.1 - (a) A vector in the plane is a line segment with...Ch. 9.1 - (a) The length of a vector w = a1, a2 is | w | =...Ch. 9.1 - Sketching Vectors Sketch the vector indicated....Ch. 9.1 - Sketching Vectors Sketch the vector indicated....Ch. 9.1 - Prob. 5ECh. 9.1 - Sketching Vectors Sketch the vector indicated....Ch. 9.1 - Prob. 7ECh. 9.1 - Sketching Vectors Sketch the vector indicated....Ch. 9.1 - Prob. 9ECh. 9.1 - Prob. 10E
Ch. 9.1 - Prob. 11ECh. 9.1 - Prob. 12ECh. 9.1 - Prob. 13ECh. 9.1 - Prob. 14ECh. 9.1 - Prob. 15ECh. 9.1 - Prob. 16ECh. 9.1 - Prob. 17ECh. 9.1 - Prob. 18ECh. 9.1 - Prob. 19ECh. 9.1 - Prob. 20ECh. 9.1 - Prob. 21ECh. 9.1 - Sketching Vectors Sketch the given vector with...Ch. 9.1 - Prob. 23ECh. 9.1 - Prob. 24ECh. 9.1 - Prob. 25ECh. 9.1 - Prob. 26ECh. 9.1 - Writing Vectors in Terms of i and j Write the...Ch. 9.1 - Prob. 28ECh. 9.1 - Prob. 29ECh. 9.1 - Writing Vectors in Terms of i and j Write the...Ch. 9.1 - Operations with Vectors Find 2u, 3v, u + v, and 3u...Ch. 9.1 - Prob. 32ECh. 9.1 - Prob. 33ECh. 9.1 - Prob. 34ECh. 9.1 - Prob. 35ECh. 9.1 - Prob. 36ECh. 9.1 - Prob. 37ECh. 9.1 - Prob. 38ECh. 9.1 - Prob. 39ECh. 9.1 - Prob. 40ECh. 9.1 - Prob. 41ECh. 9.1 - Prob. 42ECh. 9.1 - Prob. 43ECh. 9.1 - Prob. 44ECh. 9.1 - Prob. 45ECh. 9.1 - Prob. 46ECh. 9.1 - Prob. 47ECh. 9.1 - Prob. 48ECh. 9.1 - Prob. 49ECh. 9.1 - Prob. 50ECh. 9.1 - Prob. 51ECh. 9.1 - Prob. 52ECh. 9.1 - Prob. 53ECh. 9.1 - Prob. 54ECh. 9.1 - Velocity A river flows due south at 3 mi/h. A...Ch. 9.1 - Velocity Suppose that in Exercise 55 the current...Ch. 9.1 - Velocity The speed of an airplane is 300 mi/h...Ch. 9.1 - Velocity A migrating salmon heads in the direction...Ch. 9.1 - Prob. 59ECh. 9.1 - Prob. 60ECh. 9.1 - True Velocity of a Jet Find the true speed and...Ch. 9.1 - True Velocity of a Jet In what direction should...Ch. 9.1 - Prob. 63ECh. 9.1 - Velocity of a Boat The boater in Exercise 63 wants...Ch. 9.1 - Prob. 65ECh. 9.1 - Velocity A woman walks due west on the deck of an...Ch. 9.1 - Equilibrium of Forces The forces F1, F2, , Fn...Ch. 9.1 - Prob. 68ECh. 9.1 - Prob. 69ECh. 9.1 - Equilibrium of Forces The forces F1, F2, , Fn...Ch. 9.1 - Equilibrium of Forces The forces F1, F2, , Fn...Ch. 9.1 - Equilibrium of Forces The forces F1, F2, , Fn...Ch. 9.1 - Equilibrium of Tensions A 100-lb weight hangs from...Ch. 9.1 - Equilibrium of Tensions The cranes in the figure...Ch. 9.1 - DISCUSS: Vectors That Form a Polygon Suppose that...Ch. 9.2 - Prob. 1ECh. 9.2 - Prob. 2ECh. 9.2 - Prob. 3ECh. 9.2 - Prob. 4ECh. 9.2 - Prob. 5ECh. 9.2 - Prob. 6ECh. 9.2 - Prob. 7ECh. 9.2 - Prob. 8ECh. 9.2 - Prob. 9ECh. 9.2 - Prob. 10ECh. 9.2 - Prob. 11ECh. 9.2 - Prob. 12ECh. 9.2 - Prob. 13ECh. 9.2 - Prob. 14ECh. 9.2 - Prob. 15ECh. 9.2 - Prob. 16ECh. 9.2 - Prob. 17ECh. 9.2 - Prob. 18ECh. 9.2 - Prob. 19ECh. 9.2 - Perpendicular Vectors? Determine whether the given...Ch. 9.2 - Dot Products Find the indicated quantity, assuming...Ch. 9.2 - Prob. 22ECh. 9.2 - Prob. 23ECh. 9.2 - Dot Products Find the indicated quantity, assuming...Ch. 9.2 - Prob. 25ECh. 9.2 - Prob. 26ECh. 9.2 - Prob. 27ECh. 9.2 - Prob. 28ECh. 9.2 - Prob. 29ECh. 9.2 - Prob. 30ECh. 9.2 - Prob. 31ECh. 9.2 - Prob. 32ECh. 9.2 - Prob. 33ECh. 9.2 - Prob. 34ECh. 9.2 - Prob. 35ECh. 9.2 - Prob. 36ECh. 9.2 - Prob. 37ECh. 9.2 - Prob. 38ECh. 9.2 - Prob. 39ECh. 9.2 - Prob. 40ECh. 9.2 - Prob. 41ECh. 9.2 - Prob. 42ECh. 9.2 - Projection Show that projv u and u projv u are...Ch. 9.2 - Projection Evaluate v projv u.Ch. 9.2 - Prob. 45ECh. 9.2 - Prob. 46ECh. 9.2 - Prob. 47ECh. 9.2 - Work A car drives 500 ft on a road that is...Ch. 9.2 - Prob. 49ECh. 9.2 - Prob. 50ECh. 9.2 - Prob. 51ECh. 9.2 - Prob. 52ECh. 9.2 - Prob. 53ECh. 9.3 - The distance between the point P(x1, y1, z1) and...Ch. 9.3 - Prob. 3ECh. 9.3 - Prob. 4ECh. 9.3 - Prob. 5ECh. 9.3 - Prob. 6ECh. 9.3 - Prob. 7ECh. 9.3 - Prob. 8ECh. 9.3 - Prob. 9ECh. 9.3 - Prob. 10ECh. 9.3 - Prob. 11ECh. 9.3 - Prob. 12ECh. 9.3 - Prob. 13ECh. 9.3 - Prob. 14ECh. 9.3 - Prob. 15ECh. 9.3 - Prob. 16ECh. 9.3 - Center and Radius of a Sphere Show that the...Ch. 9.3 - Prob. 18ECh. 9.3 - Prob. 19ECh. 9.3 - Trace of a Sphere In these exercises we find the...Ch. 9.3 - Spherical Water Tank A water tank is in the shape...Ch. 9.3 - Prob. 22ECh. 9.3 - Prob. 23ECh. 9.3 - Prob. 24ECh. 9.4 - A vector in three dimensions can be written in...Ch. 9.4 - Prob. 2ECh. 9.4 - Prob. 3ECh. 9.4 - Prob. 4ECh. 9.4 - Prob. 5ECh. 9.4 - Prob. 6ECh. 9.4 - Prob. 7ECh. 9.4 - Prob. 8ECh. 9.4 - Prob. 9ECh. 9.4 - Prob. 10ECh. 9.4 - Prob. 11ECh. 9.4 - Prob. 12ECh. 9.4 - Prob. 13ECh. 9.4 - Prob. 14ECh. 9.4 - Prob. 15ECh. 9.4 - Prob. 16ECh. 9.4 - Prob. 17ECh. 9.4 - Prob. 18ECh. 9.4 - Prob. 19ECh. 9.4 - Prob. 20ECh. 9.4 - Prob. 21ECh. 9.4 - Prob. 22ECh. 9.4 - Prob. 23ECh. 9.4 - Prob. 24ECh. 9.4 - Prob. 25ECh. 9.4 - Prob. 26ECh. 9.4 - Prob. 27ECh. 9.4 - Prob. 28ECh. 9.4 - Prob. 29ECh. 9.4 - Prob. 30ECh. 9.4 - Prob. 31ECh. 9.4 - Prob. 32ECh. 9.4 - Prob. 33ECh. 9.4 - Angle Between Two Vectors Find the angle between u...Ch. 9.4 - Prob. 35ECh. 9.4 - Prob. 36ECh. 9.4 - Prob. 37ECh. 9.4 - Prob. 38ECh. 9.4 - Direction Angles of a Vector Find the direction...Ch. 9.4 - Direction Angles of a Vector Find the direction...Ch. 9.4 - Prob. 41ECh. 9.4 - Prob. 42ECh. 9.4 - Prob. 43ECh. 9.4 - Prob. 44ECh. 9.4 - Prob. 45ECh. 9.4 - Prob. 46ECh. 9.4 - Parallel Vectors Two nonzero vectors are parallel...Ch. 9.4 - Prob. 48ECh. 9.4 - Prob. 49ECh. 9.4 - Prob. 50ECh. 9.4 - Prob. 51ECh. 9.5 - The cross product of the vectors u = a1, a2, a3...Ch. 9.5 - Prob. 2ECh. 9.5 - Prob. 3ECh. 9.5 - Prob. 4ECh. 9.5 - Prob. 5ECh. 9.5 - Prob. 6ECh. 9.5 - Prob. 7ECh. 9.5 - Prob. 8ECh. 9.5 - Prob. 9ECh. 9.5 - Prob. 10ECh. 9.5 - Prob. 11ECh. 9.5 - Orthogonal Vectors Two vectors u and v are given....Ch. 9.5 - Prob. 13ECh. 9.5 - Prob. 14ECh. 9.5 - Prob. 15ECh. 9.5 - Prob. 16ECh. 9.5 - Prob. 17ECh. 9.5 - Prob. 18ECh. 9.5 - Prob. 19ECh. 9.5 - Prob. 20ECh. 9.5 - Area of a Parallelogram Find the area of the...Ch. 9.5 - Prob. 22ECh. 9.5 - Prob. 23ECh. 9.5 - Prob. 24ECh. 9.5 - Prob. 25ECh. 9.5 - Prob. 26ECh. 9.5 - Prob. 27ECh. 9.5 - Prob. 28ECh. 9.5 - Prob. 29ECh. 9.5 - Prob. 30ECh. 9.5 - Prob. 31ECh. 9.5 - Prob. 32ECh. 9.5 - Prob. 33ECh. 9.5 - Prob. 34ECh. 9.5 - Prob. 35ECh. 9.5 - Rubiks Tetrahedron Rubiks Cube, a puzzle craze of...Ch. 9.5 - Prob. 37ECh. 9.6 - A line in space is described algebraically by...Ch. 9.6 - Prob. 2ECh. 9.6 - Prob. 3ECh. 9.6 - Prob. 4ECh. 9.6 - Prob. 5ECh. 9.6 - Prob. 6ECh. 9.6 - Prob. 7ECh. 9.6 - Prob. 8ECh. 9.6 - Prob. 9ECh. 9.6 - Prob. 10ECh. 9.6 - Prob. 11ECh. 9.6 - Equations of Lines Find parametric equations for...Ch. 9.6 - Prob. 13ECh. 9.6 - Prob. 14ECh. 9.6 - Prob. 15ECh. 9.6 - Prob. 16ECh. 9.6 - Prob. 17ECh. 9.6 - Prob. 18ECh. 9.6 - Prob. 19ECh. 9.6 - Prob. 20ECh. 9.6 - Prob. 21ECh. 9.6 - Prob. 22ECh. 9.6 - Prob. 23ECh. 9.6 - Prob. 24ECh. 9.6 - Prob. 25ECh. 9.6 - Prob. 26ECh. 9.6 - Prob. 27ECh. 9.6 - Equations of Lines A description of a line is...Ch. 9.6 - Prob. 29ECh. 9.6 - Prob. 30ECh. 9.6 - Prob. 31ECh. 9.6 - Equations of Planes A description of a plane is...Ch. 9.6 - Prob. 33ECh. 9.6 - Prob. 34ECh. 9.6 - DISCOVER: Intersection of a Line and a Plane A...Ch. 9.6 - Prob. 36ECh. 9.6 - Prob. 37ECh. 9 - Prob. 1RCCCh. 9 - Prob. 2RCCCh. 9 - Prob. 3RCCCh. 9 - (a) Describe the three-dimensional coordinate...Ch. 9 - Prob. 5RCCCh. 9 - Prob. 6RCCCh. 9 - Prob. 7RCCCh. 9 - Prob. 8RCCCh. 9 - Prob. 9RCCCh. 9 - Prob. 10RCCCh. 9 - Prob. 1RECh. 9 - Prob. 2RECh. 9 - Prob. 3RECh. 9 - Prob. 4RECh. 9 - Prob. 5RECh. 9 - Prob. 6RECh. 9 - Prob. 7RECh. 9 - Prob. 8RECh. 9 - Prob. 9RECh. 9 - Prob. 10RECh. 9 - Prob. 11RECh. 9 - True Velocity of a Plane An airplane heads N 60 E...Ch. 9 - Prob. 13RECh. 9 - Prob. 14RECh. 9 - Prob. 15RECh. 9 - Prob. 16RECh. 9 - Prob. 17RECh. 9 - Prob. 18RECh. 9 - Prob. 19RECh. 9 - Prob. 20RECh. 9 - Prob. 21RECh. 9 - Prob. 22RECh. 9 - Prob. 23RECh. 9 - Prob. 24RECh. 9 - Prob. 25RECh. 9 - Prob. 26RECh. 9 - Finding an Equation of a Sphere Find an equation...Ch. 9 - Prob. 28RECh. 9 - Prob. 29RECh. 9 - Prob. 30RECh. 9 - Prob. 31RECh. 9 - Prob. 32RECh. 9 - Prob. 33RECh. 9 - Prob. 34RECh. 9 - Prob. 35RECh. 9 - Prob. 36RECh. 9 - Prob. 37RECh. 9 - Prob. 38RECh. 9 - Prob. 39RECh. 9 - Prob. 40RECh. 9 - Prob. 41RECh. 9 - Prob. 42RECh. 9 - Prob. 43RECh. 9 - Prob. 44RECh. 9 - Prob. 45RECh. 9 - Prob. 46RECh. 9 - Prob. 47RECh. 9 - Prob. 48RECh. 9 - Prob. 49RECh. 9 - Prob. 50RECh. 9 - Prob. 51RECh. 9 - Prob. 52RECh. 9 - Prob. 53RECh. 9 - Prob. 54RECh. 9 - Prob. 1TCh. 9 - Prob. 2TCh. 9 - Prob. 3TCh. 9 - A river is flowing due east at 8 mi/h. A man heads...Ch. 9 - Prob. 5TCh. 9 - Prob. 6TCh. 9 - Prob. 7TCh. 9 - Calculate the given quantity if u = i + j 2k v =...Ch. 9 - Find two unit vectors that are perpendicular to...Ch. 9 - (a) Find a vector perpendicular to the plane that...Ch. 9 - Prob. 11TCh. 9 - Prob. 1PCh. 9 - Prob. 2PCh. 9 - Prob. 3PCh. 9 - Prob. 4PCh. 9 - Prob. 5PCh. 9 - Prob. 6PCh. 9 - Prob. 7PCh. 9 - Prob. 8PCh. 9 - Prob. 9PCh. 9 - Prob. 10PCh. 9 - Prob. 11PCh. 9 - Prob. 12PCh. 9 - Prob. 13PCh. 9 - Prob. 14PCh. 9 - Prob. 15PCh. 9 - Prob. 16PCh. 9 - Prob. 17PCh. 9 - Match the vector field F with the graphs labeled...Ch. 9 - Prob. 19P
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