
Elementary Technical Mathematics
12th Edition
ISBN: 9781337630580
Author: Dale Ewen
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 14.5, Problem 1E
Solve each triangle using the labels as shown in Illustration 1 (round lengths of sides to three significant digits and angles to the east tenth of a degree):
ILLUSTRATION 1
Expert Solution & Answer

Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
(6) (8 points) Change the order of integration and evaluate
(z +4ry)drdy .
So S√ ²
0
(10) (16 points) Let R>0. Consider the truncated sphere S given as
x² + y² + (z = √15R)² = R², z ≥0.
where F(x, y, z) = −yi + xj .
(a) (8 points) Consider the vector field
V (x, y, z) = (▼ × F)(x, y, z)
Think of S as a hot-air balloon where the vector field V is the velocity vector
field measuring the hot gasses escaping through the porous surface S. The flux
of V across S gives the volume flow rate of the gasses through S. Calculate
this flux.
Hint: Parametrize the boundary OS. Then use Stokes' Theorem.
(b) (8 points) Calculate the surface area of the balloon. To calculate the surface
area, do the following:
Translate the balloon surface S by the vector (-15)k. The translated
surface, call it S+ is part of the sphere x² + y²+z² = R².
Why do S and S+ have the same area?
⚫ Calculate the area of S+. What is the natural spherical parametrization
of S+?
(1) (8 points) Let c(t) = (et, et sint, et cost). Reparametrize c as a unit speed curve
starting from the point (1,0,1).
Chapter 14 Solutions
Elementary Technical Mathematics
Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Prob. 5ECh. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Prob. 9ECh. 14.1 - Find each value rounded to four significant...
Ch. 14.1 - Prob. 11ECh. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Prob. 13ECh. 14.1 - Graph each equation for value of x between 0 and...Ch. 14.1 - Prob. 15ECh. 14.1 - Graph each equation for value of x between 0 and...Ch. 14.1 - Prob. 17ECh. 14.1 - Prob. 18ECh. 14.1 - Prob. 19ECh. 14.1 - Graph each equation for values of x between 0 and...Ch. 14.1 - Prob. 21ECh. 14.1 - Prob. 22ECh. 14.1 - Prob. 23ECh. 14.1 - Prob. 24ECh. 14.1 - Prob. 25ECh. 14.1 - Prob. 26ECh. 14.1 - Prob. 27ECh. 14.1 - Prob. 28ECh. 14.1 - Prob. 29ECh. 14.1 - Prob. 30ECh. 14.1 - Prob. 31ECh. 14.1 - Prob. 32ECh. 14.1 - A radar unit operates at a wavelength of 3.4 cm....Ch. 14.1 - A local AM radio station broadcasts at 1400 kHz....Ch. 14.1 - Prob. 35ECh. 14.1 - Find the wavelength of water waves with frequency...Ch. 14.1 - Radio antennas are made so that the...Ch. 14.2 - Find the period and amplitude, and graph at least...Ch. 14.2 - Find the period and amplitude, and graph at least...Ch. 14.2 - Find the period and amplitude, and graph at least...Ch. 14.2 - Find the period and amplitude, and graph at least...Ch. 14.2 - Prob. 5ECh. 14.2 - Find the period and amplitude, and graph at least...Ch. 14.2 - Prob. 7ECh. 14.2 - Prob. 8ECh. 14.2 - Prob. 9ECh. 14.2 - Prob. 10ECh. 14.2 - Prob. 11ECh. 14.2 - Prob. 12ECh. 14.2 - Prob. 13ECh. 14.2 - Prob. 14ECh. 14.2 - Prob. 15ECh. 14.2 - Find the period amplitude, and phase shift, and...Ch. 14.2 - Prob. 17ECh. 14.2 - Prob. 18ECh. 14.2 - Prob. 19ECh. 14.2 - Prob. 20ECh. 14.2 - Prob. 21ECh. 14.2 - Prob. 22ECh. 14.2 - Prob. 23ECh. 14.2 - Prob. 24ECh. 14.3 - Solve each triangle using the labels as shown in...Ch. 14.3 - Solve each triangle using the labels as shown in...Ch. 14.3 - Solve each triangle using the labels as shown in...Ch. 14.3 - Solve each triangle using the labels as shown in...Ch. 14.3 - Prob. 5ECh. 14.3 - Prob. 6ECh. 14.3 - Prob. 7ECh. 14.3 - Prob. 8ECh. 14.3 - Prob. 9ECh. 14.3 - Prob. 10ECh. 14.3 - Prob. 11ECh. 14.3 - Prob. 12ECh. 14.3 - Prob. 13ECh. 14.3 - Prob. 14ECh. 14.3 - Prob. 15ECh. 14.3 - Prob. 16ECh. 14.3 - Find the distance AC across the river shown in...Ch. 14.3 - Find the lengths of rafters AC and BC of the roof...Ch. 14.3 - Find the distance AB between the ships shown in...Ch. 14.3 - Find the height of the cliff shown in Illustration...Ch. 14.3 - A contractor needs to grade the slope of a...Ch. 14.3 - A weather balloon is sighted from points A and B,...Ch. 14.4 - For each general triangle, a. determine the number...Ch. 14.4 - For each general triangle, a. determine the number...Ch. 14.4 - For each general triangle, a. determine the number...Ch. 14.4 - For each general triangle, a. determine the number...Ch. 14.4 - For each general triangle, a. determine the number...Ch. 14.4 - For each general triangle, a. determine the number...Ch. 14.4 - For each general triangle, a. determine the number...Ch. 14.4 - For each general triangle, a. determine the number...Ch. 14.4 - For each general triangle, a. determine the number...Ch. 14.4 - For each general triangle, a. determine the number...Ch. 14.4 - Prob. 11ECh. 14.4 - For each general triangle, a. determine the number...Ch. 14.4 - For each general triangle, a. determine the number...Ch. 14.4 - For each general triangle, a. determine the number...Ch. 14.4 - For each general triangle, a. determine the number...Ch. 14.4 - Prob. 16ECh. 14.4 - The owner of a triangular lot wishes to fence it...Ch. 14.4 - The average distance from the sun to the earth is...Ch. 14.4 - A manufacturer has moved into a new building and...Ch. 14.5 - Solve each triangle using the labels as shown in...Ch. 14.5 - Solve each triangle using the labels as shown in...Ch. 14.5 - Prob. 3ECh. 14.5 - Solve each triangle using the labels as shown in...Ch. 14.5 - Prob. 5ECh. 14.5 - Solve each triangle using the labels as shown in...Ch. 14.5 - Prob. 7ECh. 14.5 - Prob. 8ECh. 14.5 - Prob. 9ECh. 14.5 - Prob. 10ECh. 14.5 - Prob. 11ECh. 14.5 - Prob. 12ECh. 14.5 - Prob. 13ECh. 14.5 - a. Find angles A and ABC in the roof in...Ch. 14.5 - Prob. 15ECh. 14.5 - Prob. 16ECh. 14.5 - A plane flies 70.0 mi due north from its base...Ch. 14.5 - Prob. 18ECh. 14.5 - Prob. 19ECh. 14.5 - Prob. 20ECh. 14.5 - A room is shaped like a kite. The lengths of two...Ch. 14.5 - Prob. 22ECh. 14.5 - Prob. 23ECh. 14.5 - In the framework shown in Illustration 8, we know...Ch. 14.5 - Prob. 25ECh. 14.5 - Prob. 26ECh. 14.5 - Prob. 27ECh. 14.5 - Prob. 28ECh. 14.5 - An 8.00-ft antenna must be mounted on the roof of...Ch. 14.5 - Prob. 30ECh. 14.5 - Prob. 31ECh. 14.5 - A game preserve manager is fencing the triangular...Ch. 14 - Find each value rounded to four significant...Ch. 14 - Find each value rounded to four significant...Ch. 14 - Prob. 3RCh. 14 - Prob. 4RCh. 14 - Prob. 5RCh. 14 - Find the period and amplitude, and graph at least...Ch. 14 - Prob. 7RCh. 14 - Find the period, amplitude, and phase shift, and...Ch. 14 - Prob. 9RCh. 14 - Solve each triangle using the labels as shown in...Ch. 14 - Solve each triangle using the labels as shown in...Ch. 14 - Solve each triangle using the labels as shown in...Ch. 14 - Solve each triangle using the labels as shown in...Ch. 14 - Solve each triangle using the labels as shown in...Ch. 14 - Solve each triangle using the labels as shown in...Ch. 14 - Solve each triangle using the labels as shown in...Ch. 14 - Solve each triangle using the labels as shown in...Ch. 14 - Find a. angle B and b. length x in Illustration 2....Ch. 14 - The centers of five holes are equally spaced...Ch. 14 - In the roof truss in Illustration 3, AB=DE,BC=CD,...Ch. 14 - Find each value rounded to four significant...Ch. 14 - Find each value rounded to four significant...Ch. 14 - Find the period, amplitude, and phase shift, and...Ch. 14 - Find angle B in Illustration 1 ILLUSTRATION 1Ch. 14 - Find angle C in Illustration1. ILLUSTRATION 1Ch. 14 - Find side c in Illustration 1. ILLUSTRATION 1Ch. 14 - Find angle C in Illustration 2. ILLUSTRATION 2Ch. 14 - Find angle B in Illustration 2. ILLUSTRATION 2Ch. 14 - Find angle A in Illustration 2. ILLUSTRATION 2Ch. 14 - Find the length of the rafter shown in...Ch. 14 - Prob. 11TCh. 14 - Prob. 1CRCh. 14 - Prob. 2CRCh. 14 - Prob. 3CRCh. 14 - Prob. 4CRCh. 14 - Prob. 5CRCh. 14 - Prob. 6CRCh. 14 - Prob. 7CRCh. 14 - Prob. 8CRCh. 14 - Prob. 9CRCh. 14 - Prob. 10CRCh. 14 - Prob. 11CRCh. 14 - Solve: 7xy=414x2y=8Ch. 14 - Prob. 13CRCh. 14 - Prob. 14CRCh. 14 - Prob. 15CRCh. 14 - Prob. 16CRCh. 14 - Prob. 17CRCh. 14 - Prob. 18CRCh. 14 - Prob. 19CRCh. 14 - Find tan67.2 rounded to four significant digits.Ch. 14 - Prob. 21CRCh. 14 - Prob. 22CRCh. 14 - Prob. 23CRCh. 14 - Prob. 24CRCh. 14 - Prob. 25CRCh. 14 - Prob. 26CRCh. 14 - Prob. 27CRCh. 14 - Prob. 28CRCh. 14 - Prob. 29CRCh. 14 - Prob. 30CR
Additional Math Textbook Solutions
Find more solutions based on key concepts
1. How much money is Joe earning when he’s 30?
Pathways To Math Literacy (looseleaf)
23. A plant nursery sells two sizes of oak trees to landscapers. Large trees cost the nursery $120 from the gro...
College Algebra (Collegiate Math)
153. A rain gutter is made from sheets of aluminum that are 20 inches wide. As shown in the figure, the edges ...
College Algebra (7th Edition)
For Problems 23-28, write in simpler form, as in Example 4. logbFG
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences
Given estimates Kij of the entries of K and estimates 1 and 2 of the eigenvalues of K, show how to obtain an es...
Differential Equations: An Introduction to Modern Methods and Applications
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.Similar questions
- (9) (16 points) Let F(x, y, z) = (x² + y − 4)i + 3xyj + (2x2 +z²)k = - = (x²+y4,3xy, 2x2 + 2²). (a) (4 points) Calculate the divergence and curl of F. (b) (6 points) Find the flux of V x F across the surface S given by x² + y²+2² = 16, z ≥ 0. (c) (6 points) Find the flux of F across the boundary of the unit cube E = [0,1] × [0,1] x [0,1].arrow_forward(8) (12 points) (a) (8 points) Let C be the circle x² + y² = 4. Let F(x, y) = (2y + e²)i + (x + sin(y²))j. Evaluate the line integral JF. F.ds. Hint: First calculate V x F. (b) (4 points) Let S be the surface r² + y² + z² = 4, z ≤0. Calculate the flux integral √(V × F) F).dS. Justify your answer.arrow_forwardDetermine whether the Law of Sines or the Law of Cosines can be used to find another measure of the triangle. a = 13, b = 15, C = 68° Law of Sines Law of Cosines Then solve the triangle. (Round your answers to four decimal places.) C = 15.7449 A = 49.9288 B = 62.0712 × Need Help? Read It Watch Itarrow_forward
- (4) (10 points) Evaluate √(x² + y² + z²)¹⁄² exp[}(x² + y² + z²)²] dV where D is the region defined by 1< x² + y²+ z² ≤4 and √√3(x² + y²) ≤ z. Note: exp(x² + y²+ 2²)²] means el (x²+ y²+=²)²]¸arrow_forward(2) (12 points) Let f(x,y) = x²e¯. (a) (4 points) Calculate Vf. (b) (4 points) Given x directional derivative 0, find the line of vectors u = D₁f(x, y) = 0. (u1, 2) such that the - (c) (4 points) Let u= (1+3√3). Show that Duƒ(1, 0) = ¦|▼ƒ(1,0)| . What is the angle between Vf(1,0) and the vector u? Explain.arrow_forwardFind the missing values by solving the parallelogram shown in the figure. (The lengths of the diagonals are given by c and d. Round your answers to two decimal places.) a b 29 39 66.50 C 17.40 d 0 54.0 126° a Ꮎ b darrow_forward
- Answer the following questions related to the following matrix A = 3 ³).arrow_forward(5) (10 points) Let D be the parallelogram in the xy-plane with vertices (0, 0), (1, 1), (1, 1), (0, -2). Let f(x,y) = xy/2. Use the linear change of variables T(u, v)=(u,u2v) = (x, y) 1 to calculate the integral f(x,y) dA= 0 ↓ The domain of T is a rectangle R. What is R? |ǝ(x, y) du dv. |ð(u, v)|arrow_forward2 Anot ined sove in peaper PV+96252 Q3// Find the volume of the region between the cylinder z = y2 and the xy- plane that is bounded by the planes x=1, x=2,y=-2,andy=2. vertical rect a Q4// Draw and Evaluate Soxy-2sin (ny2)dydx D Lake tarrow_forward
- Determine whether the Law of Sines or the Law of Cosines can be used to find another measure of the triangle. B 13 cm 97° Law of Sines Law of Cosines A 43° Then solve the triangle. (Round your answers to two decimal places.) b = x C = A = 40.00arrow_forward13' - 3π 2 < u <- π and tan v 5 14) Find the exact value given that sin u = a) sin(u-v) b) cos(u+v) c) tan(u-v) d) cos(2u) == √³, 1 < v < π.arrow_forward13) Find all solutions in [0, 2π): sec²x + 6 tan x + 4 = 0arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Discrete Mathematics and Its Applications ( 8th I...MathISBN:9781259676512Author:Kenneth H RosenPublisher:McGraw-Hill EducationMathematics for Elementary Teachers with Activiti...MathISBN:9780134392790Author:Beckmann, SybillaPublisher:PEARSON
- Thinking Mathematically (7th Edition)MathISBN:9780134683713Author:Robert F. BlitzerPublisher:PEARSONDiscrete Mathematics With ApplicationsMathISBN:9781337694193Author:EPP, Susanna S.Publisher:Cengage Learning,Pathways To Math Literacy (looseleaf)MathISBN:9781259985607Author:David Sobecki Professor, Brian A. MercerPublisher:McGraw-Hill Education

Discrete Mathematics and Its Applications ( 8th I...
Math
ISBN:9781259676512
Author:Kenneth H Rosen
Publisher:McGraw-Hill Education

Mathematics for Elementary Teachers with Activiti...
Math
ISBN:9780134392790
Author:Beckmann, Sybilla
Publisher:PEARSON


Thinking Mathematically (7th Edition)
Math
ISBN:9780134683713
Author:Robert F. Blitzer
Publisher:PEARSON

Discrete Mathematics With Applications
Math
ISBN:9781337694193
Author:EPP, Susanna S.
Publisher:Cengage Learning,

Pathways To Math Literacy (looseleaf)
Math
ISBN:9781259985607
Author:David Sobecki Professor, Brian A. Mercer
Publisher:McGraw-Hill Education
What are the Different Types of Triangles? | Don't Memorise; Author: Don't Memorise;https://www.youtube.com/watch?v=1k0G-Y41jRA;License: Standard YouTube License, CC-BY
Law of Sines AAS, ASA, SSA Ambiguous Case; Author: Mario's Math Tutoring;https://www.youtube.com/watch?v=FPVGb-yWj3s;License: Standard YouTube License, CC-BY
Introduction to Statistics..What are they? And, How Do I Know Which One to Choose?; Author: The Doctoral Journey;https://www.youtube.com/watch?v=HpyRybBEDQ0;License: Standard YouTube License, CC-BY
Triangles | Mathematics Grade 5 | Periwinkle; Author: Periwinkle;https://www.youtube.com/watch?v=zneP1Q7IjgQ;License: Standard YouTube License, CC-BY
What Are Descriptive Statistics And Inferential Statistics?; Author: Amour Learning;https://www.youtube.com/watch?v=MUyUaouisZE;License: Standard Youtube License