b. An infinitely long string with zero initial displacement is subject to the initial velocity 0, if x < -1 10(x+1), if −1≤x≤0 10(1-x), if 0

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Q: d) -3x+6y=5 x + 2y = 6

A:

Q: (d) For the set B = {[4], [8]} ≤ Z12 determine the set V = h(B). Then for the set VC Z18 determine…

A: We use basic techniques of modular arithmetic to solve this problem.

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A: Given, sequenceThen we write the general term of above sequence.Hence, the general term of given…

Q: 5. Suppose that a is a positive integer relatively prime to 10. Show that a divides infinitel many…

A: Suppose that a is a positive integer relatively prime to 10. We have to Show that a divides…

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A: Let C be closed curve enclosed by the region R,  then ∫CMdx+Ndy=∬R(Nx−My)dA .

Q: a) Differentiate the function Q(p)= -2√/p³ (e-P-P). b) Hence or otherwise, determine Q'(1).

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Q: Let K be a finite normal extension of a field F. If a, ß are any two elements of K conjugate over F,…

A: Let K be a finite normal extension of a field F. If a and b are any two elements of K conjugate over…

Q: What is the result of the following operation: (1,10) n (10) (A) 0 B) (1,10) (1,10) (1,10)

A: We have to find the intersection The intersection of two sets is the set of elements that are common…

Q: Part 4 of 8 Solving 0 C'(x) leads to 5√x² + 1 = 10x which can be re-written as x²+1= Submit…

A: I'm solving the part 4 of 8..Since that part is not answered.

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A: We have to find the rank of the matrix

Q: 6) Find the equation of a parabola containing points any method: 16), (-3, -0.5), (0, -5)

A: Given point

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A: We have to set up the integral to find the volume of a right cone  with height 10

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A: Given functions:a)     b)     c) d) e) To find:The singularities and its order.Verify that the…

Q: Question 1 Here is some data kk f(xk) 00 10 1 10 100 2 20 150 Construct the associated 'divided…

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A: NCAA basketball, a “three-point shot” is defined by an arc radius of 20 feet, 9 inches. Convert this…

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Q: Convert the given initial value problem into an initial value problem for a system in normal form. y…

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Q: A law firm has six senior and four junior partners. A committee of three partners is selected at…

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Q: For the three given vectors, either show that they are linearly independent or find a nontrivial…

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Q: 2. Let S be a set, and ~R a relation on S. Suppose ~R is symmetric and transitive. Show that if for…

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Q: Use Green's Theorem to evaluate: L.F. F.ñ ds where F = (√x + 5y, 3x + 5y) and C is the boundary of…

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A: The objective of this question is to understand the relationship between advertising expenditure and…

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Q: Here is another interesting pattern in Pascal's Triangle, which we will call the "hockey stick"…

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Q: Let A={a,b,c,d, e) and B = {d,e,f,g, h,i}. The cardinality of the set |BXAVAXB| is: A B D 30 26 4

A: Cardinality of the set.

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A: To describe the motion of a mass attached to a spring, we apply the principles of Simple Harmonic…

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A: Given is a continuous function.

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Q: If A is a 12 x 10 matrix, what is the largest possible rank of A? If A is a 10 x 12 matrix, what is…

A: Given matrices

Q: 2. In a vector space V with inner product (,), the vectors u and v are orthogonal and ||u|| = 3 and…

A: Given thatIn a vector space V with inner product , the vectors u and v are orthogonal and We have to…

Q: A basketball team sells tickets that cost​ $10, $20,​ or, for VIP​ seats,​ $30. The team has sold…

A: Given that, a basketball team sells tickets that costs  $10, $20 or  for VIP seats $30. The team has…

Q: Let K> 0 and let f: RR satisfy the condition f(x)-f(y)| ≤ Kx-y for all x, y € R. Show that f is…

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Q: For #13-15: The average retail electricity prices in the U.S. from 1970 to 2005 are shown below.…

A: Year, xPrice, y06.12547107.25129.625208257.5306.625356.25406.25506.375

Q: Use iteration to guess an explicit formula for the recursively defined sequence and make use of a…

A: Let's analyze the given recursively defined sequence:It seems that the sequence is following a…

Q: 3. Let A CR, BC Rm. If the Cartesian product A x B C Rn+m is compact, show that A and B are compact.

A: To show that A and B are compact, you can use the fact that the Cartesian product of compact sets is…

Q: 3. For each of the following, if a circle has the dimensions given, de circumference: a. 6 cm…

A: Given that the following, if a circle has the dimensions:  6 cm diameter,3 cm radius.To find the…

Q: ) Recall that C[0, 1] is the vector space of continuous real-valued functions on the interval [0,…

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Q: Shown beside is a curve called "lemniscate", given by 2(x² + y²)² = 25(x² - y²). A) Use implicit…

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Q: Consider the following Gauss-Jordan reduction Find B₁ = 0 1 27 -7 -3 0 1 0 27 -7-3 - 1 0 1 Write A…

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Q: Determine S[y] has a local maximum or minimum on the stationary path.  (by the value of the O(ϵ2)…

A: The functional  S[y] is given by an integral that depends on the function y and its derivative y′…

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A: Note: As per the guidelines, we are supposed to answer only 3 sub parts. Please repost other…

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Q: P = D = A = Is A diagonalizable over R? choose 4 -3 5 If possible, find an invertible matrix P so…

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Q: Let P = {(x, y): 1 ≤ x+y≤ 4,-2 ≤ x - y ≤ 1}. Compute the value of the integral 小。 cos(x+y) sin(x -…

A: We have to Compute the value of the integral using a change of variables.

Q: Prove or disprove. For all integers n > = 1, 2^n has [n/31 digits when written in base 10.

A: We disprove the result by giving a counter example.