Student Solutions Manual For Basic Technical Mathematics And Basic Technical Mathematics With Calculus
11th Edition
ISBN: 9780134434636
Author: Allyn J. Washington, Richard Evans
Publisher: PEARSON
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Chapter 9.6, Problem 27E
To determine
The length of the island.
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9.8 Given the equations
10x+2x2-x3 = 27
-3x-6x2+2x3 = -61.5
x1 + x2 + 5x3 = -21.5
(a) Solve by naive Gauss elimination. Show all steps of the compu-
tation.
(b) Substitute your results into the original equations to check your
answers.
Tangent planes Find an equation of the plane tangent to the following surfaces at the given points (two planes and two equations).
Vectors u and v are shown on the graph.Part A: Write u and v in component form. Show your work. Part B: Find u + v. Show your work.Part C: Find 5u − 2v. Show your work.
Chapter 9 Solutions
Student Solutions Manual For Basic Technical Mathematics And Basic Technical Mathematics With Calculus
Ch. 9.1 - For the vectors in Example 2, show that R = B + C...Ch. 9.1 - Prob. 2PECh. 9.1 - Prob. 1ECh. 9.1 - Prob. 2ECh. 9.1 - Prob. 3ECh. 9.1 - Prob. 4ECh. 9.1 - Prob. 5ECh. 9.1 - Prob. 6ECh. 9.1 - Prob. 7ECh. 9.1 - Prob. 8E
Ch. 9.1 - Prob. 9ECh. 9.1 - Prob. 10ECh. 9.1 - Prob. 11ECh. 9.1 - Prob. 12ECh. 9.1 - Prob. 13ECh. 9.1 - Prob. 14ECh. 9.1 - Prob. 15ECh. 9.1 - In Exercises 15–18, draw the given vectors and...Ch. 9.1 - Prob. 17ECh. 9.1 - In Exercises 15–18, draw the given vectors and...Ch. 9.1 - Prob. 19ECh. 9.1 - Prob. 20ECh. 9.1 - Prob. 21ECh. 9.1 - Prob. 22ECh. 9.1 - Prob. 23ECh. 9.1 - In Exercises 19–40, find the indicated vector sums...Ch. 9.1 - Prob. 25ECh. 9.1 - Prob. 26ECh. 9.1 - Prob. 27ECh. 9.1 - Prob. 28ECh. 9.1 - Prob. 29ECh. 9.1 - Prob. 30ECh. 9.1 - Prob. 31ECh. 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 - In Exercises 19–40, find the indicated vector sums...Ch. 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 - In Exercises 41–48, solve the given problems. Use...Ch. 9.1 - Prob. 48ECh. 9.2 - For the vector in Example 1, change the angle to...Ch. 9.2 - Prob. 2PECh. 9.2 - Prob. 3PECh. 9.2 - Prob. 1ECh. 9.2 - Prob. 2ECh. 9.2 - Prob. 3ECh. 9.2 - Prob. 4ECh. 9.2 - Prob. 5ECh. 9.2 - In Exercises 5–10, find the horizontal and...Ch. 9.2 - Prob. 7ECh. 9.2 - In Exercises 5–10, find the horizontal and...Ch. 9.2 - Prob. 9ECh. 9.2 - In Exercises 5–10, find the horizontal and...Ch. 9.2 - Prob. 11ECh. 9.2 - In Exercises 11–20, find the x- and y-components...Ch. 9.2 - Prob. 13ECh. 9.2 - Prob. 14ECh. 9.2 - Prob. 15ECh. 9.2 - In Exercises 11–20, find the x- and y-components...Ch. 9.2 - Prob. 17ECh. 9.2 - Prob. 18ECh. 9.2 - Prob. 19ECh. 9.2 - In Exercises 11–20, find the x- and y-components...Ch. 9.2 - In Exercises 21–34, find the required horizontal...Ch. 9.2 - In Exercises 21–34, find the required horizontal...Ch. 9.2 - Prob. 23ECh. 9.2 - In Exercises 21–34, find the required horizontal...Ch. 9.2 - Prob. 25ECh. 9.2 - Prob. 26ECh. 9.2 - Prob. 27ECh. 9.2 - In Exercises 21–34, find the required horizontal...Ch. 9.2 - Prob. 29ECh. 9.2 - In Exercises 21–34, find the required horizontal...Ch. 9.2 - Prob. 31ECh. 9.2 - Prob. 32ECh. 9.2 - Prob. 33ECh. 9.2 - Prob. 34ECh. 9.3 - Prob. 1PECh. 9.3 - Prob. 2PECh. 9.3 - Prob. 3PECh. 9.3 - Prob. 1ECh. 9.3 - Prob. 2ECh. 9.3 - Prob. 3ECh. 9.3 - In Exercises 3–6, vectors A and B are at right...Ch. 9.3 - In Exercises 3–6, vectors A and B are at right...Ch. 9.3 - Prob. 6ECh. 9.3 - Prob. 7ECh. 9.3 - Prob. 8ECh. 9.3 - Prob. 9ECh. 9.3 - In Exercises 7–14, with the given sets of...Ch. 9.3 - Prob. 11ECh. 9.3 - Prob. 12ECh. 9.3 - Prob. 13ECh. 9.3 - Prob. 14ECh. 9.3 - Prob. 15ECh. 9.3 - In Exercises 15–32, add the given vectors by...Ch. 9.3 - Prob. 17ECh. 9.3 - Prob. 18ECh. 9.3 - Prob. 19ECh. 9.3 - In Exercises 15–32, add the given vectors by...Ch. 9.3 - Prob. 21ECh. 9.3 - Prob. 22ECh. 9.3 - Prob. 23ECh. 9.3 - In Exercises 15–32, add the given vectors by...Ch. 9.3 - Prob. 25ECh. 9.3 - Prob. 26ECh. 9.3 - In Exercises 15–32, add the given vectors by...Ch. 9.3 - Prob. 28ECh. 9.3 - In Exercises 15–32, add the given vectors by...Ch. 9.3 - In Exercises 15–32, add the given vectors by...Ch. 9.3 - In order to move an ocean liner into the channel,...Ch. 9.3 - In Exercises 15–32, add the given vectors by...Ch. 9.3 - Prob. 33ECh. 9.3 - Prob. 34ECh. 9.3 - Prob. 35ECh. 9.3 - Prob. 36ECh. 9.4 - A ship sails 32.50 mi due east and then turns...Ch. 9.4 - Prob. 2PECh. 9.4 - EXAMPLE 5 Equilibrium—forces on a climber
A 165-lb...Ch. 9.4 - Prob. 1ECh. 9.4 - Prob. 2ECh. 9.4 - Prob. 3ECh. 9.4 - A jet is 115 mi east and 88.3 mi north of Niagara...Ch. 9.4 - Prob. 5ECh. 9.4 - Prob. 6ECh. 9.4 - Prob. 7ECh. 9.4 - Toronto is 650 km at 19.0° north of east from...Ch. 9.4 - Prob. 9ECh. 9.4 - A rocket is launched with a vertical component of...Ch. 9.4 - In testing the behavior of a tire on ice, a force...Ch. 9.4 - To raise a crate, two ropes are attached to its...Ch. 9.4 - A storm front is moving east at 18.0 km/h and...Ch. 9.4 - Prob. 14ECh. 9.4 - Prob. 15ECh. 9.4 - Prob. 16ECh. 9.4 - In an automobile safety test, a shoulder and seat...Ch. 9.4 - Prob. 18ECh. 9.4 - A plane flies at 550 km/h into a head wind of 60...Ch. 9.4 - A ship’s navigator determines that the ship is...Ch. 9.4 - Prob. 21ECh. 9.4 - Prob. 22ECh. 9.4 - Prob. 23ECh. 9.4 - On a mountain trek, a pack mule becomes obstinate...Ch. 9.4 - Prob. 25ECh. 9.4 - Prob. 26ECh. 9.4 - Prob. 27ECh. 9.4 - A mine shaft goes due west 75 m from the opening...Ch. 9.4 - Prob. 29ECh. 9.4 -
A scuba diver’s body is directed downstream at...Ch. 9.4 - Prob. 31ECh. 9.4 - Prob. 32ECh. 9.4 - Prob. 33ECh. 9.4 - Prob. 34ECh. 9.4 - A plane is moving at 75.0 m/s, and a package with...Ch. 9.4 - Prob. 36ECh. 9.4 - Prob. 37ECh. 9.4 - Prob. 38ECh. 9.5 - Prob. 1PECh. 9.5 - Prob. 2PECh. 9.5 - Prob. 3PECh. 9.5 - Prob. 1ECh. 9.5 - Prob. 2ECh. 9.5 - In Exercises 3–20, solve the triangles with the...Ch. 9.5 - In Exercises 3–20, solve the triangles with the...Ch. 9.5 - In Exercises 3–20, solve the triangles with the...Ch. 9.5 - In Exercises 3–20, solve the triangles with the...Ch. 9.5 - In Exercises 3–20, solve the triangles with the...Ch. 9.5 - In Exercises 3–20, solve the triangles with the...Ch. 9.5 - In Exercises 3–20, solve the triangles with the...Ch. 9.5 - In Exercises 3–20, solve the triangles with the...Ch. 9.5 - In Exercises 3–20, solve the triangles with the...Ch. 9.5 - In Exercises 3–20, solve the triangles with the...Ch. 9.5 - In Exercises 3–20, solve the triangles with the...Ch. 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 - A small island is approximately a triangle in...Ch. 9.5 - A boat followed a triangular route going from dock...Ch. 9.5 - The loading ramp at a delivery service is 12.5 ft...Ch. 9.5 - In an aerial photo of a triangular field, the...Ch. 9.5 - The Pentagon (headquarters of the U.S. Department...Ch. 9.5 - Prob. 26ECh. 9.5 - Prob. 27ECh. 9.5 - Prob. 28ECh. 9.5 - Prob. 29ECh. 9.5 - When an airplane is landing at an 8250-ft runway,...Ch. 9.5 - Find the total length of the path of the laser...Ch. 9.5 - Prob. 32ECh. 9.5 - Prob. 33ECh. 9.5 - Prob. 34ECh. 9.5 - Prob. 35ECh. 9.5 - Prob. 36ECh. 9.5 - Prob. 37ECh. 9.5 - Prob. 38ECh. 9.6 - Prob. 1PECh. 9.6 - Prob. 2PECh. 9.6 - Prob. 1ECh. 9.6 - Prob. 2ECh. 9.6 - In Exercises 3–20, solve the triangles with the...Ch. 9.6 - In Exercises 3–20, solve the triangles with the...Ch. 9.6 - In Exercises 3–20, solve the triangles with the...Ch. 9.6 - Prob. 6ECh. 9.6 - In Exercises 3–20, solve the triangles with the...Ch. 9.6 - In Exercises 3–20, solve the triangles with the...Ch. 9.6 - Prob. 9ECh. 9.6 - Prob. 10ECh. 9.6 - Prob. 11ECh. 9.6 - Prob. 12ECh. 9.6 - Prob. 13ECh. 9.6 - Prob. 14ECh. 9.6 - In Exercises 3–20, solve the triangles with the...Ch. 9.6 - Prob. 16ECh. 9.6 - Prob. 17ECh. 9.6 - In Exercises 3–20, solve the triangles with the...Ch. 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 - Prob. 28ECh. 9.6 - Prob. 29ECh. 9.6 - In Exercises 21–40, use the law of cosines to...Ch. 9.6 - Prob. 31ECh. 9.6 - Prob. 32ECh. 9.6 - In Exercises 21–40, use the law of cosines to...Ch. 9.6 - Prob. 34ECh. 9.6 - Prob. 35ECh. 9.6 - Prob. 36ECh. 9.6 - In Exercises 21–40, use the law of cosines to...Ch. 9.6 - Prob. 38ECh. 9.6 - Prob. 39ECh. 9.6 - Prob. 40ECh. 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 - Prob. 12RECh. 9 - Prob. 13RECh. 9 - Prob. 14RECh. 9 - Prob. 15RECh. 9 - In Exercises 15–22, add the given vectors by using...Ch. 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 - Prob. 27RECh. 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 - In Exercises 41–74, solve the given problems.
42....Ch. 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 - In Exercises 41–74, solve the given...Ch. 9 - Prob. 54RECh. 9 - Prob. 55RECh. 9 - Prob. 56RECh. 9 - Prob. 57RECh. 9 - Prob. 58RECh. 9 - Prob. 59RECh. 9 - Prob. 60RECh. 9 - Prob. 61RECh. 9 - Prob. 62RECh. 9 - Prob. 63RECh. 9 - Prob. 64RECh. 9 - Prob. 65RECh. 9 - Prob. 66RECh. 9 - Prob. 67RECh. 9 - Prob. 68RECh. 9 - Prob. 69RECh. 9 - Prob. 70RECh. 9 - Prob. 71RECh. 9 - Prob. 72RECh. 9 - Prob. 73RECh. 9 - Prob. 74RECh. 9 - Prob. 75RECh. 9 - Prob. 1PTCh. 9 - Prob. 2PTCh. 9 - Prob. 3PTCh. 9 - Prob. 4PTCh. 9 - Prob. 5PTCh. 9 - Prob. 6PTCh. 9 - Prob. 7PTCh. 9 - Prob. 8PTCh. 9 - Prob. 9PTCh. 9 - Prob. 10PTCh. 9 - Prob. 11PT
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