Calculus and Its Applications (11th Edition)
11th Edition
ISBN: 9780321979391
Author: Marvin L. Bittinger, David J. Ellenbogen, Scott J. Surgent
Publisher: PEARSON
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Question
Chapter A, Problem 50E
To determine
To calculate: The simplified form of the expression
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Use Laplace transform to solve the initial value problem
y' + y = tsin(t), y(0) = 0
The function g is defined by
g(x) = sec² x + tan x. What are all
solutions to g(x) = 1 on the interval
0 ≤ x ≤ 2π ?
A
x =
= 0, x
==
= 3,
x = π,
x =
7
4
,
4
and x 2π only
=
B
x =
4'
1, x = 1, x = 57
and x = 3 only
C
x =
πk and x =
- +πk
D
,
where is any integer
П
x = +πk and
П
x =
+πk, where k is
any integer
Vector v = PQ has initial point P (2, 14) and terminal point Q (7, 3). Vector v = RS has initial point R (29, 8) and terminal point S (12, 17).
Part A: Write u and v in linear form. Show all necessary work.
Part B: Write u and v in trigonometric form. Show all necessary work.
Part C: Find 7u − 4v. Show all necessary calculations.
Chapter A Solutions
Calculus and Its Applications (11th 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. x5x2Ch. 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 - Investment increase. An investment is made at 812...Ch. 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...
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