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Math
Advanced Math
Advanced Engineering Mathematics
Chapter 9.1, Problem 38P
Chapter 9.1, Problem 38P
BUY
Advanced Engineering Mathematics
10th Edition
ISBN:
9780470458365
Author: Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
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1 First-order Odes
2 Second-order Linear Odes
3 Higher Order Linear Odes
4 Systems Of Odes. Phase Plane. Qualitative Methods
5 Series Solutions Of Odes. Special Functions
6 Laplace Transforms
7 Linear Algebra: Matrices, Vectors, Determinants. Linear Systems
8 Linear Algebra: Matrix Eigenvalue Problems
9 Vector Differential Calculus. Grad, Div, Curl
10 Vector Integral Calculus. Integral Theorems
11 Fourier Analysis. Partial Differential Equations (pdes)
12 Partial Differential Equations (pdes)
13 Complex Numbers And Functions
14 Complex Integration
15 Power Series, Taylor Series
16 Laurent Series. Residue Integration
17 Conformal Mapping
18 Complex Analysis And Potential Theory
19 Numerics In General
20 Numeric Linear Algebra
21 Numerics For Odes And Pdes
22 Unconstrauined Optimization. Linear Programming
23 Graphs. Combinatorial Optimization
24 Data Analysis. Probability Theory
25 Mathematical Statistics
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9.1 Vectors In 2-space And 3-space
9.2 Inner Product (dot Product)
9.3 Vector Product (cross Product)
9.4 Vector And Scalar Functions And Their Fields. Vector Calculus: Derivatives
9.5 Curves. Arc Length. Curvature. Torsion
9.6 Calculus Review: Functions Of Several Variables
9.7 Gradient Of A Scalar Field. Directional Derivative
9.8 Divergence Of A Vector Field
9.9 Curl Of A Vector Field
Chapter Questions
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Problem 1P
Problem 2P: Find the components of the vector v with initial point P and terminal point Q. Find |v|. Sketch |v|....
Problem 3P
Problem 4P
Problem 5P: Find the components of the vector v with initial point P and terminal point Q. Find |v|. Sketch |v|....
Problem 6P: Find the terminal point Q of the vector v with components as given and initial point P. Find |v|. 6....
Problem 7P: Find the terminal point Q of the vector v with components as given and initial point P. Find |v|. 7....
Problem 8P: Find the terminal point Q of the vector v with components as given and initial point P. Find |v|. 8....
Problem 9P: Find the terminal point Q of the vector v with components as given and initial point P. Find |v|. 9....
Problem 10P: Find the terminal point Q of the vector v with components as given and initial point P. Find...
Problem 11P: Let a = [3, 2, 0] = 3i + 2j; b = [−4, 6, 0] = 4i + 6j, c = [5, −1, 8] = 5i − j + 8k, d = [0, 0, 4] =...
Problem 12P: Let a = [3, 2, 0] = 3i + 2j; b = [−4, 6, 0] = 4i + 6j, c = [5, −1, 8] = 5i − j + 8k, d = [0, 0, 4] =...
Problem 13P
Problem 14P: Let a = [3, 2, 0] = 3i + 2j; b = [−4, 6, 0] = 4i + 6j, c = [5, −1, 8] = 5i − j + 8k, d = [0, 0, 4] =...
Problem 15P: Let a = [3, 2, 0] = 3i + 2j; b = [−4, 6, 0] = 4i + 6j, c = [5, −1, 8] = 5i − j + 8k, d = [0, 0, 4] =...
Problem 16P: Let a = [3, 2, 0] = 3i + 2j; b = [−4, 6, 0] = 4i + 6j, c = [5, −1, 8] = 5i − j + 8k, d = [0, 0, 4] =...
Problem 17P
Problem 18P: Let a = [3, 2, 0] = 3i + 2j; b = [−4, 6, 0] = 4i + 6j, c = [5, −1, 8] = 5i − j + 8k, d = [0, 0, 4] =...
Problem 19P: What laws do Probs. 12–16 illustrate? 12. (a + b) + c, a + (b + c) 13. b + c, c + b 14. 3c − 6d, 3(c...
Problem 20P
Problem 21P: Find the resultant in terms of components and its magnitude. p = [2, 3, 0], q = [0, 6, 1], u = [2,...
Problem 22P
Problem 23P: Find the resultant in terms of components and its magnitude.
Problem 24P: Find the resultant in terms of components and its magnitude. p = [−1, 2, −3], q = [1, 1, 1], u = [1,...
Problem 25P: Find the resultant in terms of components and its magnitude. u = [3, 1, −6], v = [0, 2, 5], w = [3,...
Problem 26P: Equilibrium. Find v such that p, q, u in Prob. 21 and v are in equilibrium. 21. p = [2, 3, 0], q =...
Problem 27P: Find p such that u, v, w in Prob. 23 and p are in equilibrium. 23.
Problem 28P: Unit vector. Find the unit vector in the direction of the resultant in Prob. 24. 24. p = [−1, 2,...
Problem 29P: Restricted resultant. Find all v such that the resultant of v, p, q, u with p, q, u as in Prob. 21...
Problem 30P
Problem 31P: For what k is the resultant of [2, 0, −7], [1, 2, −3], and [0, 3, k] parallel to the xy-plane?
Problem 32P: If |p| = 6 and |q| = 4, what can you say about the magnitude and direction of the resultant? Can you...
Problem 33P: Same question as in Prob. 32 if |p| = 9, |q| = 6, |u| = 3. 32. If |p| = 6 and |q| = 4, what can you...
Problem 34P: Relative velocity. If airplanes A and B are moving southwest with speed |vA| = 550 mph, and...
Problem 35P: Same question as in Prob. 34 for two ships moving northeast with speed |vA| = 22 knots and west with...
Problem 36P
Problem 37P
Problem 38P
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