What functions in the range -π (1) Σ =o n= sin(2n+1)x 2n+1

Q: Chapter 6, exercise 4.3: (a) Compute the left cosets of the subgroup H = {1,x5} in the dihedral…

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Q: A subgroup H of a group G is a normal subgroup of G if and only if, every legft coset of Hin G is a…

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Q: Let X = C[0,4], with the usual notation and suppose X is endowed with the norm, ||f||2 Consider the…

A: Let X=C0, 4, with the usual notation and suppose X is endowed with the norm,…

Q: Find some bipartite graph of order p such that i(G) = p - 1.

A: please find the attached answer

Q: (GJ-2) Use Gauss-Jordan elimination to find the inverse of the following matrix, and show all…

A: The given matrix is                                       A = 131-1202123 We have to find the…

Q: Let a, b, c € Z and n E N. Assume a = b (mod n). Prove that ac = bc (mod n).

A: It is very important to know what a=b mod n stands for. We recall the definition and using the…

Q: what expression is equivalent to  3x2−4xy+y23x2−4xy+y2?

A: I have given the answer in the next step. Hope you understand that

Q: Find the family of graphs G of order p such that y(G) = p.

A: Please find the attached solution

Q: models the bacteria count, in = 158 +9 thousands, for a sample of tap water that is left to sit over…

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Q: Bernoulli's equation dy dx -ye-2x = 5y³, will be reduced to a nonlinear equation by using the…

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Q: 1. Let f(x, y) = x² + 2y² and C be the curve along y = x³ from (0, 0) to (2,8). Find each of the…

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Q: Let f: Z → Z be defined as f(x)= >= { x + 9 √x+9 x-7 Find a formula for f-1. if x is odd if x is…

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Q: n=1 TL (4- π)¹² 2

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Q: (b) Let T: R³ →R³, T(v) = (v₂w;)w; +(v, w,₂)w, where w, = (1,-1,0) and w₂ = (0,2,1). (1) Find the…

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Q: O Solve the following initial value problem: dx dt dy dt = = 2x + 5y 2x - y x(0) = 1, y(0) = 6

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Q: A 5000-seat theater has tickets for sale at $27 and $40. How many tickets should be sold at each…

A: Let  x be number of tickets for sale at $27  y be number of tickets for sale at $40 Given that, The…

Q: Determine whether the table could represent a function that is linear, exponential, or neither. If…

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Q: Use Descartes' rule of signs sign rule to determine what's the number of possible real positive and…

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Q: Determine whether the following statement is true or false: If both matrices A of the size 6 x4 and…

A: False

Q: Chapter 6, exercise 4.2(b): List the proper normal subgroups N of the dihedral group D₁ and identify…

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Q: 2) Consider the DE: (2xy - 6x²)dx + (x² +9)dy = 0 A) Determine whether the DE is exact or not, then…

A: as per Q&A rules we have to answer only one question, when there are more than one different…

Q: Suppose T: R2 R3 is a linear transformation. Let u, v and w be the vectors given below, and suppose…

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Q: dier that is the centre of a group F, So prove that = > M(x) = F. and prove that if Fis finite,…

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Q: QUESTION 2 a) What is the equation of the straight line that passes through the points (1,-4) and…

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Q: Formula for rebate fraction

A: Introduction: The Rebate fraction is calculate by summing of the digits of the number of payments…

Q: Find the shortest distance between the times y-2 3 2-1 २ and X-2 3 2-3 ។ y-4 4 ५-८ 5 and also obtain…

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Q: Show the equivalent of (2x+3y) (4x² - 6xy +9y²) + (2x − 3y)(4x² + 6xy+9y²) 16x³ for x # 0.

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Q: Question 2 Consider the point P(2,-1,-4) and the vectors a = and 6=. (a) Find the unit vector i that…

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Q: Describe the transformation having the following matrix 1000 0200 0010 4001 Dilation by a factor of…

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Q: Chapter 6, exercise 4.1: Write the product x²yx-¹y-¹x³y³ in the form x¹y¹ in the dihedral group Dn.

A: Solution:    Given equation is x2yx-1y-1x3y3,    and we have to find products in the form of xiyj in…

Q: A rain gutter is to be constructed from a metal sheet of width 30 cm by bending up one third of the…

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Q: (a) On a sheet of paper, or using a calculator or other technology, graph the three indifference…

A: Please find the attached answer.

Q: ixed points and stability Slope field Phase line

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Q: A farmer finds that if she plants 40 trees per acre, each tree will yield 30 bushels of fruit. She…

A: For every additional tree planted, yield decreases by bushels.  Question can be solved by using…

Q: Consider the following initial value problem. y" + 6y' + 25y = 8(t) + 6(t5a), y(0) = 1, y'(0) = 0…

A: Formula of Laplace transformation…

Q: . During the class, we derived in detail the first order Richardson extrapolated derivative, by…

A: Note: As you asked only subparts (a) and (b) so, i answered here only (a) and (b).

Q: (b) Consider the eight vectors V1 = V5 = 1 1 V2 = , V6 = 0 0 V3 = , 07 V4 = V8 = i. Demonstrate that…

A: As per the question we are given a set of vectors in R8 and we have to : Demonstrate that these…

Q: Use the definitions of sin(z) and cos(z) T 2 prove that sin z+ = cos(z) for all z E C. (Do not use…

A: Answer :-

Q: Find the largest possible domain for the real value formula: et (a) f(x) = In(x+1) x+1 (b) g(x) = ²…

A: The domain of a function are all value of the arguments of the function for which the given function…

Q: x + 2 x+5-x + 5 (a) lim Calculate the following limits, or explain why they diverge. 1-n-n² n→∞ 1-2n…

A: Given :  (a) limx→5-x+2x+5 (b) limn→∞1-n-n21-2n-4n2 We have to find the limit if exist.

Q: Find the zeros and the corresponding multiplicity of the following polynomials and then draw the…

A: To determine zeros of polynomial f(x) then put f(x) equal to zero.  Multiplicity of a zeros is how…

Q: Suppose that U₁,...,Uk are subspaces of V. Prove that V = U₁ ☺ · · · ÐUk if and only if the…

A: Please find the attached solution

Q: Question 2 Rewrite the product using product notation. (34) (45) (7.8) (10:11)... (4950) 51-52 Hint:…

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Q: Question 1 Find the first four terms of the sequence. b; = (-1)³ fo for j ≥ 0

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Q: (a) Check as to whether ordinary multiplication is a binary operation on Z or not

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Q: A square matrix is half-magic if the sum of the numbers in each row and column is the same. Find a…

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Q: 11.[2] Show that vectors A = 4ax - a₂, B = ax + 3ay + 4az, and C = -5ax 3a, 3az form the sides of a…

A: We know that if the vector form sides of triangle then A→+B→+C→=0 Given,…

Q: Continuing with the same problem as above: Suppose L(x) = -5x + 1 is the local linearization to h(x)…

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Q: The expression f(x+h)−f(x)/h for h≠0 is called the difference quotient. Find and simplify the…

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Q: Problem 5 Compute the Fourier Transform of the following signal. Also draw the time and frequency…

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