Find the spherical coordinates of the point with Cartesian coordinates (4, −4, 4√6)

Q: Use Laplace transform to solve the partial differential equation: o'y dy ax² at +xt where y(x,0) =…

A: Solution

Q: Show that the Bernoulli number B₁ satisfies B₁ = (-1)" ( 2 + 2d²+1) Σ (mod 1) for any positive…

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Q: Find the sum of the divisors of 120. Generalise the result for an arbitrary natural number M

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Q: ) Solve by using Laplace transform the partial differential equation 8²y 2², =9. dt² Ox² y(0,t) = 0,…

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Q: 1. The value of (1.000)-27 is O 327 0.327 O 1.000 O Non of them (242²-121²) 242*121 O 1 O 2/3 O 11/3…

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Q: Use the induction argument to prove that 1+2+ + n = n(n+1) 2 for all natural numbers n ≥ 1.

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Q: Let f=z" + an-12¹-1 + ... + a₁ € C[z] be a polynomial of degree n ≥ 1. Which of the factorisations…

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Q: A matrix M is said to be orthogonal if MMT=MTM=1. Let S be a skew-symmetric matrix and I the…

A: I have the definition of skew-symmtric matrix, and some properties of matrix algebra.

Q: ☐ In Exercises 11 to 14, use the greedy algorithm to find a Hamiltonian circuit starting at vertex A…

A: The Greedy algorithm for finding a Hamiltonian circuit is as follows: Select a starting vertex.…

Q: ) Solve by using Laplace transform the partial differential equation a² y d'y =9 y(0,t)= 0, y(2,1)=…

A: Solution:-

Q: Use the following methods to solve for the root of the equation f(x) = xex sin²x -

A: To solve the root of the below equation using the secant method with x1=2, x2=2.5. fx=xe−x−sin2x

Q: 1 0 3 100 0 1 0 17 0 0 c 40 (a) What would the value of c have to be in order for there…

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Q: Exercises: A. Find for the following: dx 1.y = (5x+3)6 2. y = sec(2x) + tan(2x) 3. y = In(x²-3x - 1)

A: To find the derivative of given functions.

Q: 2. The plane region R is bounded by the curvey = Arctan (), y=0, and x = 3. Determine: a. The Area…

A: Using washer and disc method

Q: Solve for the value of x. Points A and B are both centers of the given circles. 9 H 8 B

A: Solution

Q: What are the three things we need to show to prove that an ordered pair is a group?

A: We have to give the properties of an ordered pair to prove that it is a group.

Q: For X and Y normed linear spaces, let {T} be a sequence in L(X, Y) such that Tn → T in L(X,Y) and…

A: For X and Y normed linear spaces, let {Tn} be a sequence in L(X, Y) such that Tn → T in L(X,Y) and…

Q: Use Picard's method to solve dx - Find y3(1)? -xy, y (0) = 1

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Q: Let What is the rank of AT A? Answer: A 3 0 0 0 0 0 5 11 −4 0 3 6 5 2 0 0 3 6 2 0 0 0 8 0 0 00 0 0

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Q: dy = 8+ 4x +36 y + 18 zy da plicit general solution of the form F(x, y) = K, where K is an arbitrary…

A: In this question, the concept of Differential Equation is applied. Differential Equation A…

Q: 1. Use the following methods to solve for the root of the equation f(x) = xe * – sinx

A: Note:- The problem in second image has no solution as it is divergent according to the table. But,…

Q: Let A be an n x n matrix over C. Let ƒ be an entire function, i.e. an analytic function on the whole…

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Q: Give an example of a non-planar graph that is not homeomorphic to K5or K3,3.

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Q: we the boundary value problem y3y' + 2y = 0 with (1) = 1, y(3) = 2e¹ - e² h = 0.5

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Q: (a) find the general solution; (b) determine if the origin is a spiral sink, a spiral source, or a…

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Q: (b) The formula for the elasto-plastic tangent is on the formula sheet [{fo }{f.o) [De [Dep] = [De]…

A: The formula is given we just have to calculate the required expression.

Q: Find a natural cubic spline interpolating the data (-1, 13), (0,7), (1,9)

A: Writing data in table format x -1 0 1 y 13 7 9 Formula for natural cubic spline is:…

Q: Integrate Xy ed २ over the triangular region with vertices: (0,0), ), (0,8) (0,16)

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Q: Use the definition of the Laplace transform to find (f(t)). (Write your answer as a function of s.)…

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Q: a Let r Q (0, 1). Write r = where a 21 and b 21 are coprime natural numbers. Show that there exists…

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Q: 2. A contractor wanted to buy equipment; current price of it is ($50,000). So, he requested the help…

A: Solution :  Given principal amount  P = $ 50000  Total amount  A = $ 66000  Number of years T = 5…

Q: f(z)=z²-(6+-4i) z+(-27+12) has 2 roots: z₁ and z2, sorted in an increasing manner according to the…

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Q: 2. If ƒ (x, y) = log (x² + y²), then ƒ +ƒ„‚ is equal to XX yy 1 (a) x² + y² (b) 0 (c) (d) 2 x² - y²…

A: We will find out partial derivatives with respect to each variables x and y.

Q: Let A₁ = {Su {i}: S = P({i+1, ..., 8, 9}) }. Prove that P ={A;:ie Z, 1 ≤ i ≤9} is a partition of…

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Q: A major oil company wants to build a refinery that will be supplied from three port cities. Port B…

A: The objective is tantamount to minimizing the sum of distances between the refinery and  the three…

Q: ܕ ܩ ܚ ܝܠ ܘܗ ܥ ܬܬ ܝܚ -3 -21x1 -7X₂ -3 1 2 -1 -7 4 3 9 [X3 -2 -[ 8

A:

Q: QI Graph the function y=x+4 Q2 y 2x+1 find the Domain func

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: For any irrational number a show that the fractional parts of an, which is denoted by {an), are…

A: To find: For an irrational number, the fractional part of nα for n ∈ N is uniformly distributed in…

Q: 5. Sketch the graph of one function f(x) that has all of the following properties: a.) f(-2) 0 b.)…

A: As per our guidelines we are supposed to answer  only one question. Here question 5) answer.

Q: You are given the following data about Group 2. 32 students have taken Calculus, 22 have taken…

A: The formula for A∪B∪C can be defined as A∪B∪C=A+B+C-A∩B-B∩C-A∩C+A∩B∩C.

Q: Determine the parametric equations of the curve of intersection of the ellipsoid 4x² + y² + 4z² = 4…

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Q: s D a strongly connected graph? D: 3

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Q: (ylny − e¯xy)dx + ( + xlny) dy - = 0

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Q: So what's the final value of x1 x2 x3 and x4? indivually

A: Answer :  No value  the system of equations does not converge to any value. so there doesn't exist…

Q: جليلة Let I = [= 1,₂1] ISR interval w that I is negligible Set.

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Q: undirected graph Draw the graph corresponding to the adjacency matrix 0 1010 10011 (a) A = 00011 (b)…

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Q: Are the following deterministic or stochastic? Stock market Patient’s EKG, EEG, blood pressure or…

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Q: Find (ay), and (3x), ду ду X Əw = dv X (Simplify your answer.) at the point (w, x, y, z)=(1,-1,1,…

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Q: Solve Problem 2.33 on page 48 found attached.

A: As per our guidelines  we are supposed to answer  only one question. Here 2.33 answered.

Q: @ Fs | F(x)} = - P Fc (fax)] ap proof:

A: Introduction: On the semi-limitless c program language period x > zero, Fourier sine and cosine…