2.10 (a) Express the vector field H = xy'za, + x'yza, + xyz'a. in cylindrical and spherical coordinates. (b) In both cylindrical and spherical coordinates, determine H at (3, -4, 5).

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Q: Problem Statement

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Q: -4 1 31 1 B = 4 1 1 1 1 1 A =| 4 6. D = 1 -2 -1 4 -1 1 1 O 12O 1100

A: The given question is related with determinant of matrices. Given three matrices ,                  ...

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Q: |n(n+ 1)" 11. 13 + 23 + ... +n³ : for all integers n2 1. 2

A: The solution for the asked question is given as  

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Q: Find the length of the vector (12, 4, 4). O 8.75 О 5.18 O 13.27 O 7

A: Length of the vector

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A: We have ,  f(t) = t - 7u4(t) - t - 4u7(t)   , where , uc(t) is Heaviside function. We know that, Lf(...

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A: To choose: The option which denotes a function from A to B: - (a.) F=1,2,2,4,2,6, A=1,2,3, B=2,4,6 (...

Q: EXERCISE 1( (ii) 8÷(- 4)

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Q: EX show that 2. J능 (x)

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Q: 2. At an interest rate of 2% per month, the money will double in value in how many months?

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Q: dy t 3xy=xy?, y(0)= -3

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Q: g(x)= 2x+1 and f(x)= x² – x –1. Find the value of (fog)(2). O a. 20 O b. 17 O c. 18 O d. None O e. 1...

A: Please see all the solutions carefully.. They are given below.

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Q: Let a = (1,2, 3), b = (1,–-1, 2), c = (1,–2, 4). (a) Find (a x b) x c (b) Find (c. b)a – (c- a)b. (c...

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A: To determine the below limit. limx→ 2−x−22−4x−x2

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Q: THEOREM 23. Let K be an integral operator on L2([a, b], a) KS = [°xe K(x, y)f(y) da(y) where T| K(x,...

A: We will use the basic knowledge of functional analysis to answer this question. Recall the definitio...

Q: Solve the initial value problem by using Laplace transform, y" – 3y' + 2y = 4t-8 y(0) = 2, y'(0) = 7

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Q: 5. Suppose you have a set of proposed activities along with start time a, and finish time f, where 0...

A: We will use the basic knowledge of linear programming and optimization theory to answer this questio...

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A: given data   D E F capacities A 16 20 12 200 B 14 8 18 160 C 26 24 16 90 demand 180 120 1...

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Q: Let A be compact and U C A be closed. Prove that U is compact.

A: The complete proof is in given below  

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Q: Let a be a real number. Consider the series Σ cos(n7); 2n + 1 An; where an = n=0 (a) Is it possible ...

A: Given:-Series  ∑n=0∞ an where an=cos⁡(nπ)αn2n+1 also α∈ℝ. To show:-(a)Is it possible to find α>0 ...

Q: (c) y" + 18y" + 81y' = 0.

A: Homogeneous differential equations with constant coefficients

Q: If A = {1, 3, 5, 7), B = {2, 5), find the %3D number of relations from A to B.

A: Solution is given andi hope it will be helpful for you dear student.

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A: A discount series, also called a chain discount or trade discount series, occurs when multiple disco...

Q: Problem 1. Find the order of the following differential equations equation. (a)粤+2 +r=0 d²y dr² +2dy...

A: a Given differential equation is d2ydx2+2dydxd3ydx3+x=0. Definition of order:- Order of a differenti...

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Q: cally integra then in any ng curves is

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A: If we add or substract zero from a number then it will give the same number. But when we multiply of...

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Q: Keith was receiving rental payments of $2,000 at the beginning of every month from the tenants of he...

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Q: Exercise 5. Let AABC be a triangle, let D be the point on the (extended) line AB such that DC 1 AB, ...

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Q: Describe the domain of the function f(x, y)= In(6+x-y). {(x, y): y<x-6} {(x, y): y 2 0} a. {(x, y): ...

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