Differential Equations
4th Edition
ISBN: 9780495561989
Author: Paul Blanchard, Robert L. Devaney, Glen R. Hall
Publisher: Cengage Learning
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Textbook Question
Chapter 6.1, Problem 5E
Verify that
[Hint: A rigorous derivation of this formula requires mathematical induction.]
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Name:
Tan Tong
16.5
Bonvicino - Period 5
1 Find the exact volume of a right hexagonal prism such that the base is a regular hexagon with a side
length of 8 cm and whose distance between the two bases is 5 cm. Show all work.
(4 pts)
83
tan 30°=
Regular hexagon
So length ~
480
tango Cm
Hexagon
int angle
=36016
8cm
Angle bisec isper p bisect Side length
4
X=an 300
2 In the accompanying diagram of circle O, PA is tangent to the
circle at A, PDC is a secant, diameter AEOC intersects chord
BD at E, chords AB, BC, and DA are drawn, mDA = 46° and mBC
is 32° more than mAB. If the radius of the circle is 8 cm, E is
the midpoint of AO and the length of ED is 2 less than the
length of BE, answer each of the following. Show all work.
(a) m
18:36
G.C.A.2.ChordsSecantsandTa...
จ 76
完成
2 In the accompanying diagram, AABC is inscribed
in circle O, AP bisects BAC, PBD is tangent to
circle O at B, and
mZACB:m/CAB:m/ABC= 4:3:2
D
B
P
F
Find: mZABC, mBF, m/BEP, m/P, m/PBC
←
1
Ő
14:09
2/16
jmap.org
5G 66
In the accompanying diagram of circle O,
diameters BD and AE, secants PAB and PDC, and
chords BC and AD are drawn; mAD = 40; and
mDC
= 80.
B
E
Find: mAB, m/BCD, m/BOE, m/P, m/PAD
←
G.C.A.2.ChordsSecantsand Tangent
s19.pdf (538 KB)
+
4
保存... X
Chapter 6 Solutions
Differential Equations
Ch. 6.1 - In Exercises 1-4, compute the Laplace transform of...Ch. 6.1 - In Exercises 1-4, compute the Laplace transform of...Ch. 6.1 - In Exercises 1-4, compute the Laplace transform of...Ch. 6.1 - Verify that L[tn]=n!sn+1(s0) [Hint: A rigorous...Ch. 6.1 - Using L[tn]=n!sn+1(s0) give a formula for the...Ch. 6.1 - In Exercises 7-14, find the inverse Laplace...Ch. 6.1 - Prob. 8ECh. 6.1 - Prob. 9ECh. 6.1 - Prob. 11ECh. 6.1 - Prob. 13E
Ch. 6.1 - In Exercises 15-24 (a) compute the Laplace...Ch. 6.1 - In Exercises 15-24 (a) compute the Laplace...Ch. 6.1 - Prob. 25ECh. 6.2 - In Exercises 8-13, solve the given initial-value...Ch. 6.3 - Prob. 3ECh. 6.3 - Prob. 5ECh. 6.3 - Prob. 7ECh. 6.3 - In Exercises 11-14, write the given quadratic in...Ch. 6.3 - In Exercises 1518 , compute the inverse Laplace...Ch. 6.3 - In Exercises 2734 (a) compute the Laplace...Ch. 6.3 - Prob. 29ECh. 6.3 - In Exercises 27-34 (a) compute the Laplace...Ch. 6.5 - Prob. 1ECh. 6.5 - Prob. 2ECh. 6.5 - In Exercises 14, compute the convolution f*g for...Ch. 6.5 - In Exercises 14, compute the convolution f*g for...Ch. 6.5 - Prob. 5E
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- 16:39 < 文字 15:28 |美图秀秀 保存 59% 5G 46 照片 完成 Bonvicino - Period Name: 6. A right regular hexagonal pyramid with the top removed (as shown in Diagram 1) in such a manner that the top base is parallel to the base of the pyramid resulting in what is shown in Diagram 2. A wedge (from the center) is then removed from this solid as shown in Diagram 3. 30 Diogram 1 Diegrom 2. Diagram 3. If the height of the solid in Diagrams 2 and 3 is the height of the original pyramid, the radius of the base of the pyramid is 10 cm and each lateral edge of the solid in Diagram 3 is 12 cm, find the exact volume of the solid in Diagram 3, measured in cubic meters. Show all work. (T 文字 贴纸 消除笔 涂鸦笔 边框 马赛克 去美容arrow_forwardAnswer question 4 pleasearrow_forward16:39 < 文字 15:28 |美图秀秀 保存 59% 5G 46 照片 完成 Bonvicino - Period Name: 6. A right regular hexagonal pyramid with the top removed (as shown in Diagram 1) in such a manner that the top base is parallel to the base of the pyramid resulting in what is shown in Diagram 2. A wedge (from the center) is then removed from this solid as shown in Diagram 3. 30 Diogram 1 Diegrom 2. Diagram 3. If the height of the solid in Diagrams 2 and 3 is the height of the original pyramid, the radius of the base of the pyramid is 10 cm and each lateral edge of the solid in Diagram 3 is 12 cm, find the exact volume of the solid in Diagram 3, measured in cubic meters. Show all work. (T 文字 贴纸 消除笔 涂鸦笔 边框 马赛克 去美容arrow_forward
- Problem 11 (a) A tank is discharging water through an orifice at a depth of T meter below the surface of the water whose area is A m². The following are the values of a for the corresponding values of A: A 1.257 1.390 x 1.50 1.65 1.520 1.650 1.809 1.962 2.123 2.295 2.462|2.650 1.80 1.95 2.10 2.25 2.40 2.55 2.70 2.85 Using the formula -3.0 (0.018)T = dx. calculate T, the time in seconds for the level of the water to drop from 3.0 m to 1.5 m above the orifice. (b) The velocity of a train which starts from rest is given by the fol- lowing table, the time being reckoned in minutes from the start and the speed in km/hour: | † (minutes) |2|4 6 8 10 12 14 16 18 20 v (km/hr) 16 28.8 40 46.4 51.2 32.0 17.6 8 3.2 0 Estimate approximately the total distance ran in 20 minutes.arrow_forward- Let n = 7, let p = 23 and let S be the set of least positive residues mod p of the first (p − 1)/2 multiple of n, i.e. n mod p, 2n mod p, ..., p-1 2 -n mod p. Let T be the subset of S consisting of those residues which exceed p/2. Find the set T, and hence compute the Legendre symbol (7|23). 23 32 how come? The first 11 multiples of 7 reduced mod 23 are 7, 14, 21, 5, 12, 19, 3, 10, 17, 1, 8. The set T is the subset of these residues exceeding So T = {12, 14, 17, 19, 21}. By Gauss' lemma (Apostol Theorem 9.6), (7|23) = (−1)|T| = (−1)5 = −1.arrow_forwardLet n = 7, let p = 23 and let S be the set of least positive residues mod p of the first (p-1)/2 multiple of n, i.e. n mod p, 2n mod p, ..., 2 p-1 -n mod p. Let T be the subset of S consisting of those residues which exceed p/2. Find the set T, and hence compute the Legendre symbol (7|23). The first 11 multiples of 7 reduced mod 23 are 7, 14, 21, 5, 12, 19, 3, 10, 17, 1, 8. 23 The set T is the subset of these residues exceeding 2° So T = {12, 14, 17, 19, 21}. By Gauss' lemma (Apostol Theorem 9.6), (7|23) = (−1)|T| = (−1)5 = −1. how come?arrow_forward
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