Calculus And Its Applications (2nd Edition)
2nd Edition
ISBN: 9780135091685
Author: Marvin L. Bittinger, David J. Ellenbogen, Scott A. Surgent, Gene Kramer
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter A, Problem 189E
Right triangles. The lengths of the two legs,
If a right triangle has one leg of length 12 and a hypotenuse of length 13, find the length of the other leg.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
4. Identify at least two mistakes in Francisco's work. Correct the mistakes and
complete the problem by using the second derivative test.
2f
2X
2. Find the relative maximum and relative minimum points of f(x) = 2x3 + 3x² - 3, using the
First Derivative Test or the Second Derivative Test.
bx+ bx
6x +6x=0
12x-
af
24
=
0
x=0
108
-2
5. Identify at least three mistakes in Francisco's work. Then sketch the graph of the
function and label the local max and local min.
1. Find the equation of the tangent line to the curve
y=x-2x3+x-2 at the point (1.-2).
Sketch the araph of y=x42x3+x-2 and the tangent line at (1,-2)
y' = 4x-6x
y' (1) = 4(1) - 667 - 2
=
4(-2)4127-6(-2)
5-8-19-20
=
۳/۱
R2X2
2) slots per pole per phase = 3/31
B=18060
msl
Ka, Sin (1)
Kdl
Isin (
sin(30)
Sin (30)
اذا ميريد شرح الكتب بس 0 بالفراغ
3) Cos (30) 0.866
4) Rotating
120*50
5) Synchronous speed, 120 x 50
S1000-950
1000
Copper losses 5kw
50105
Rotor input
5
0.05
loo kw
6) 1
1000rpm
اذا ميريد شرح الكتب فقط Look
=
7) rotov
DC
ined sove in peaper
PU + 96er
Which of the following is converge, and which diverge? Give reasons for your answers
with details. When your answer then determine the convergence sum if possible.
3" 6"
Σ=1 (2-1) π
X9
1
R2 X2
2) slots per pole per phase = 3/31
B = 180 - 60
msl
Kd
Kol, Sin (no)
Isin (6)
2
sin(30)
Sin (30)
اذا ميريد شرح الكتب بس 0 بالفراغ
3) Cos (30) 0.866
4) Rotating
5) Synchronous speed;
120*50
Looo rem
G
S = 1000-950 solos
1000
Copper losses: 5kw
Rotor input:
5
loo kw
0.05
1
اذا میرید شرح الكتب فقط look
7) rotor
DC
ined sove in pea
PU+96er
Q2// Find the volume of the solid bounded above by the cynnuer 2=6-x²,
on the sides by the cylinder x² + y² = 9, and below by the xy-plane.
Q041 Convert 2 2x-2
Lake
Gex
35
w2x-xབོ ,4-ཙཱཔ-y
√4-x²-yz 21xy²dzdydx to(a) cylindrical
coordinates, (b) Spherical coordinates.
201
25
Chapter A Solutions
Calculus And Its Applications (2nd Edition)
Ch. A - Express as an equivalent expression without...Ch. A - Express as an equivalent expression without...Ch. A - Express as an equivalent expression without...Ch. A - Express as an equivalent expression without...Ch. A - Prob. 5ECh. A - Prob. 6ECh. A - Prob. 7ECh. A - Express as an equivalent expression without...Ch. A - Express as an equivalent expression without...Ch. A - Express as an equivalent expression without...
Ch. A - Prob. 11ECh. A - Prob. 12ECh. A - Express as an equivalent expression without...Ch. A - Express as an equivalent expression without...Ch. A - Express as an equivalent expression without,...Ch. A - Express as an equivalent expression without,...Ch. A - Express as an equivalent expression without,...Ch. A - Express as an equivalent expression without,...Ch. A - Express as an equivalent expression without,...Ch. A - Express as an equivalent expression without,...Ch. A - Express as an equivalent expression without,...Ch. A - Express as an equivalent expression without,...Ch. A - Express as an equivalent expression without,...Ch. A - Express as an equivalent expression without,...Ch. A - Prob. 25ECh. A - Express as an equivalent expression without,...Ch. A - Prob. 27ECh. A - Multiply. t3t4Ch. A - Multiply. x7xCh. A - Multiply. x5xCh. A - Multiply.
31.
Ch. A - Multiply. 4t32t4Ch. A - Multiply.
33.
Ch. A - Multiply. x3xx3Ch. A - Multiply.
35.
Ch. A - Multiply. ekekCh. A - Divide. 37. x8x2Ch. A - Divide.
38.
Ch. A - Divide. x2x5Ch. A - Divide. x3x7Ch. A - Divide.
41.
Ch. A - Divide. tktkCh. A - Divide. ete4Ch. A - Divide.
44.
Ch. A - Divide. t6t8Ch. A - Divide. t5t7Ch. A - Prob. 47ECh. A - Prob. 48ECh. A - Prob. 49ECh. A - Prob. 50ECh. A - Simplify. (t2)3Ch. A - Simplify. (t3)4Ch. A - Simplify.
53.
Ch. A - Simplify.
54.
Ch. A - Simplify.
55.
Ch. A - Simplify.
56.
Ch. A - Prob. 57ECh. A - Simplify.
58.
Ch. A - Simplify.
59.
Ch. A - Prob. 60ECh. A - Simplify. (cd32q2)2Ch. A - Simplify.
62.
Ch. A - Prob. 63ECh. A - Multiply. x(1+t)Ch. A - Multiply. (x5)(x2)Ch. A - Multiply. (x4)(x3)Ch. A - Multiply.
67.
Ch. A - Prob. 68ECh. A - Prob. 69ECh. A - Multiply. (3x+4)(x1)Ch. A - Prob. 71ECh. A - Prob. 72ECh. A - Multiply.
73.
Ch. A - Prob. 74ECh. A - Prob. 75ECh. A - Multiply.
76.
Ch. A - Multiply.
77.
Ch. A - Prob. 78ECh. A - Multiply. 5x(x2+3)2Ch. A - Prob. 80ECh. A - Use the following equation for Exercises...Ch. A - Use the following equation for Exercises 81-84....Ch. A - Prob. 83ECh. A - Use the following equation for Exercises...Ch. A - Factor. xxtCh. A - Factor.
86.
Ch. A - Factor. x2+6xy+9y2Ch. A - Factor. x210xy+25y2Ch. A - Factor.
89.
Ch. A - Factor.
90.
Ch. A - Prob. 91ECh. A - Factor.
92.
Ch. A - Prob. 93ECh. A - Factor. 9x2b2Ch. A - Prob. 95ECh. A - Factor.
96.
Ch. A - Factor.
97.
Ch. A - Factor. 2x432Ch. A - Factor. a8b8Ch. A - Prob. 100ECh. A - Prob. 101ECh. A - Prob. 102ECh. A - Factor.
103.
Ch. A - Factor. 2xy250xCh. A - Factor.
105.
Ch. A - Factor. 6x223x+20Ch. A - Factor. x3+8 (Hint: See Exercise 68.)Ch. A - Factor. a327 (Hint: See Exercise 67.)Ch. A - Factor. y364t3Ch. A - Factor.
110.
Ch. A - Factor. 3x36x2x+2Ch. A - Factor.
112.
Ch. A - Factor. x35x29x+45Ch. A - Factor. t3+3t225t75Ch. A - Solve.
115.
Ch. A - Solve. 8x+9=4x70Ch. A - Solve.
117.
Ch. A - Solve. 5x2+3x=2x+64xCh. A - Solve.
119.
Ch. A - Solve.
120.
Ch. A - Solve.
121.
Ch. A - Solve. x+0.05x=210Ch. A - Solve.
123.
Ch. A - Solve. 7x(x2)(2x+3)=0Ch. A - Solve.
125.
Ch. A - Solve. 2t2=9+t2Ch. A - Solve.
127.
Ch. A - Solve.
128.
Ch. A - Solve.
129.
Ch. A - Solve.
130.
Ch. A - Solve.
131.
Ch. A - Solve.
132.
Ch. A - Solve. (x3)2=x2+2x+1Ch. A - Solve. (x5)2=x2+x+3Ch. A - Solve. 4xx+5+100x2+5xCh. A - Solve.
136.
Ch. A - Solve. 50x50x2=4xCh. A - Solve.
138.
Ch. A - Solve.
139.
Ch. A - Solve. 535x2=0Ch. A - Solve.
141.
Ch. A - Solve. x2=144Ch. A - Solve.
143.
Ch. A - Solve.
144.
Ch. A - Solve. 4t2=49Ch. A - Solve. 100k2=169Ch. A - Solve.
147.
Ch. A - Prob. 148ECh. A - Solve.
149.
Ch. A - Solve.
150.
Ch. A - Solve.
151.
Ch. A - Solve. (6x+5)2=400Ch. A - Solve.
153.
Ch. A - Solve. (14y)2=2Ch. A - Solve.
155.
Ch. A - Solve.
156.
Ch. A - Solve.
157.
Ch. A - Solve. 3x3+3x17x9Ch. A - Solve. 7x4Ch. A - Prob. 160ECh. A - Solve.
161.
Ch. A - Solve. 9x+3x24Ch. A - Solve. 2x75x9Ch. A - Solve. 10x313x8Ch. A - Solve.
165.
Ch. A - Solve.
166.
Ch. A - Solve. 83x+214Ch. A - Prob. 168ECh. A - Solve.
169.
Ch. A - Solve.
170.
Ch. A - Prob. 171ECh. A - Solve.
172.
Ch. A - Prob. 173ECh. A -
174. Investment increase. An investment is made...Ch. A - 175. Total revenue. Sunshine Products determines...Ch. A - Prob. 176ECh. A - Weight gain. After a 6% gain in weight, an elk...Ch. A - Weight gain. After a 7% gain in weight, a deer...Ch. A - Population increase. After a 2% increase, the...Ch. A - Population increase. After a 3% increase, the...Ch. A - Grade average. To get a B in a course, a students...Ch. A - 182. Grade average. To get a C in a course, a...Ch. A - Auditorium seating. The seats at Ardon Auditorium...Ch. A -
184. Tiling a room. The conference room at the...Ch. A - Prob. 185ECh. A - Prob. 186ECh. A - Prob. 187ECh. A - Prob. 188ECh. A - Right triangles. The lengths of the two legs, a...Ch. A - Right triangles. One leg of a right triangle is 3...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.Similar questions
- show full work pleasearrow_forward3. Describe the steps you would take to find the absolute max of the following function using Calculus f(x) = : , [-1,2]. Then use a graphing calculator to x-1 x²-x+1 approximate the absolute max in the closed interval.arrow_forward(7) (12 points) Let F(x, y, z) = (y, x+z cos yz, y cos yz). Ꮖ (a) (4 points) Show that V x F = 0. (b) (4 points) Find a potential f for the vector field F. (c) (4 points) Let S be a surface in R3 for which the Stokes' Theorem is valid. Use Stokes' Theorem to calculate the line integral Jos F.ds; as denotes the boundary of S. Explain your answer.arrow_forward
- (3) (16 points) Consider z = uv, u = x+y, v=x-y. (a) (4 points) Express z in the form z = fog where g: R² R² and f: R² → R. (b) (4 points) Use the chain rule to calculate Vz = (2, 2). Show all intermediate steps otherwise no credit. (c) (4 points) Let S be the surface parametrized by T(x, y) = (x, y, ƒ (g(x, y)) (x, y) = R². Give a parametric description of the tangent plane to S at the point p = T(x, y). (d) (4 points) Calculate the second Taylor polynomial Q(x, y) (i.e. the quadratic approximation) of F = (fog) at a point (a, b). Verify that Q(x,y) F(a+x,b+y). =arrow_forward(6) (8 points) Change the order of integration and evaluate (z +4ry)drdy . So S√ ² 0arrow_forward(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+?arrow_forward
- (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).arrow_forward(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_forward
- Determine 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_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Trigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell
College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,
Elementary AlgebraAlgebraISBN:9780998625713Author:Lynn Marecek, MaryAnne Anthony-SmithPublisher:OpenStax - Rice University
Trigonometry (MindTap Course List)
Trigonometry
ISBN:9781337278461
Author:Ron Larson
Publisher:Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Algebra: Structure And Method, Book 1
Algebra
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:McDougal Littell
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Elementary Geometry For College Students, 7e
Geometry
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Cengage,
Elementary Algebra
Algebra
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:OpenStax - Rice University
Interpreting Graphs of Quadratic Equations (GMAT/GRE/CAT/Bank PO/SSC CGL) | Don't Memorise; Author: Don't Memorise;https://www.youtube.com/watch?v=BHgewRcuoRM;License: Standard YouTube License, CC-BY
Solve a Trig Equation in Quadratic Form Using the Quadratic Formula (Cosine, 4 Solutions); Author: Mathispower4u;https://www.youtube.com/watch?v=N6jw_i74AVQ;License: Standard YouTube License, CC-BY