Determine whether the Fourier series of the following functions converge uniformly or not. a) f(x) = sinh(x), - π< x < π Solve using power and series (Fourier)(please)

Q: A firm produces three products A, B, and C, each of which passes through three departments:…

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Q: Question 6 For each of the relations on A ={1, 2, 3} below, {(1, 1), (1, 3), (3, 3)}, R = S = {(1,…

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Q: Find the tangent line(s) to the parametric curve given by a = t5 – 4t3 y = t? at (0, 4).

A: Find the tangent line(s) to the parametric curve given by x = t^5-4t^3 , y = t^2 at (0,4).

Q: Show, using truth tables, that (a) ¬(p V q) A r = -p^ (¬q ^ r), (b) -4 v (q V p) is a tautology.

A: (a) To show ¬p∨q∧r≡¬p∧¬q∧r using Truth tables. (b) To show ¬q∨q∨p is a tautology using Truth tables.

Q: 1. Find the particular solution of the given equation, d'y dy +ty = 0 with y(0) = 1 and y (0) = 0…

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Q: In a particular very small region, the consumer price index, C, depends on the current value of…

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Q: a linear system in matrix form. 2. Rewrite the specified linear system in component form. dx dr = 2x…

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Q: y = -a(x – h)? +k (-2.1 , 2.9) (1,n)

A: The given curve is y=-ax-h2+k. Here h=-1 and k=11 given. So the curves becomes y=-ax+12+11. Also the…

Q: Find the value of [n] for which the area below the x-axis of the curve y = x" log x is d equal…

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Q: Solve %| 1+9x² ) dy + x³y² = 0 .

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Q: Which of the following statements is false? O A. Elementary row operations do not change the row…

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Q: ation (1+xcos 2y)dr-x'sin 2 ydy = 0. %3D

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Q: Question 2. (7 Points: 3+2+2) (a) Prove that if a and y are rational numbers then x+y is rational.…

A: (a) To prove: If x and y are rational then x+y is also rational. (b) To prove: If x is irrational…

Q: Find the Laplace transform of the equation. a and b are constant.

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Q: If f (t) = cos(4t – ), what is the laplace transform of f (t) ? %3D V3s 2(s+16) 2. +16 O 2 V3s +16…

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Q: 3dx xV4-x²

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Q: Let P be an m × m matrix with entries in the polynomial algebra F [x]. L:1.1.

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Q: The predicted sales revenue of the ABC Company, in tens of millions of dollars, is given by f (x) =…

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Q: Calculate: a) median b) first quartile

A: Class Interval Frequency Cumulative Frequency 90-105 24 84 105-120 62 86 120-135 72 158…

Q: 1 F(s) : (s-2)(s-4)(s-8)

A: Use the Laplace table.

Q: Match the parts of a circle. - 1. A a. Radius - 2. B b. Chord c diameter - 3. D d. Minor Arc - 4. c…

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Q: A = (1 3 - 2), B= a) b) A = B = (3 -7) 2 8 A = 3 B: 011 c) -1 2 4 1, -3 d) A = -2 0 - 2) A = 2 3 -3…

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Q: Which of the following is a subspace of R? O A. All vectors of the form (a, 0, 0). B. All vectors of…

A: To choose correct option we will use the following theorem Theorem: A non-empty subset W of a vector…

Q: Let A = {(0, –1,6); (–1,0,2); (2,1,0)} . Then A is a basis for

A: Introduction: A set of vectors in V is the basis of V if the set is linearly independent in V.

Q: Let M = {(, ¿ )-G i )G : DC : D Then M is a basis for M2,3 the above M3,2 the above O None of the…

A: Given that     M=110000, 110010, 100101, 100001

Q: 260° to Find the value of x Ox- 260 Ox= 100 Ox= 130 Ox= 80 5.

A: Solution

Q: 2)2

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Q: 3. Solve for x: O x= 13.5 %3D O x= 2.7 O x = 9 Ox= 6 6.

A: Explanation for the correct choice The Intersecting Chords Theorem states that if two chords…

Q: (A 1a z arrs z and" For complex numbers z and w, if |z| w-|w² z = z-w, then which of the following…

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Q: 2. Find the centroid of the area in the first quadrant under the curve y = 4 – x2. Answer:

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Q: 2. Solve for the missing angle: 100

A: Introduction: When two line segments meet at a single point, an angle is formed. Angles are…

Q: Example 2 If |z-= 2, then the difference between max (zl) and min (|zl) is: (A) 1 (B) 2 (C) 4 (D) 8

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Q: The equation y^2+(x-2)^2=1 is the equation of a circle of radius 1 centered at (2,0). Rotating it…

A: The equation y2+(x-2)2=1 is the equation of a circle of radius 1 centered at (2,0). Rotating it…

Q: e the boundary value problems in Problems 1 through 12. Зи хх, 0 0; и(0,t) — и(л, t) — 0, и(х,0) —…

A: Boundary value problem

Q: 1. Find the determinant of the following: [2 0 1. 1 2 4 l4 4 2 0 41 -2 3 1 4. 4 5 -2 -3 4 5 2 61 2.…

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Q: Find the absolute value of z: b. z= (2+ 3)/(3- 4)

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Q: a) Test the series 2 2-1)" for convergence n =1 or divergence (show all your works) b) Test the…

A: Cauchy nth root test:-

Q: Section 3.2 In Exercises 1-3, (a) compute the eigenvalues and the associated eigenvectors; (b) for…

A: Note: according to our guidelines we can answer only first question because there are multiple…

Q: Let W = ((" ) :a+ 2c = 0 and b-d 0} be a subspace of M22- Then dimension of W is equal to: %3D O 1 O…

A: Dimensions of the subspace of W

Q: at 0.6 ms. How fast is 0 changing at that instant? Is 0 increasing or decreasing at that instant?…

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Q: L[3t²+ 4t3/2]

A: We have to the Laplace transformation of 3t2+4t32

Q: 3. The square is dilated under the dilation (x, y) → (0.25x, 0.25y). 4 2- -2 2 -2 a. Graph the…

A: Dilation: It is a type of transformation in which the size of an image in a coordinate plane changes…

Q: Let M = {a E R: a < -1}. Then M is a vector space under standard addition and scalar multiplication…

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Q: 1. Evaluate the following integrals. b. I – 2.x² +1 dx

A: Properties of integral  ∫xndx=xn+1n+1+C∫[af(t)+bg(t)]dt=a∫f(t)dt+b∫g(t)dt∫f(g(x))g'(x)dx=∫f(t)dt

Q: 3. The square is dilated under the dilation (x, y) → (0.25x, 0.25y). 4 2 -2 2 -2 a. Graph the image.…

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Q: Q9:S a)converges to 2 b)converges to 을 c)converges to - 2 d)diverges

A: Since  you have posted a multiple  question according to guildlines I will solve first  (Q9)…

Q: 3] Use determinants to find the values of X, Y, Z, W, N. 8X - 3Y + Z + 5W – 4N = 21 5X + Y + 7Z -…

A: We have: 8X-3Y+Z+5W-4N=215X+Y+7Z-13W+15N=277X+3Y+4Z-18W-12N=3511X-7Y-Z+9W+15N=5015X+10Y-7Z+2W+8N=19…

Q: FiM the remainchg ports op the spherical triangles ) ca90 のこ3703'44 ,6-61° 14'25

A: Given: C=90°a=37°3'46''b=64°16'25'' To find: Remaining parts of the spherical triangle

Q: that 10348+4303 is divisible by 47. the remainder of 123 is divided

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Q: Which of the following sets is linearly independent in P, ? {1-x,0,-3x + 1} (-1+2x, 5x², -2 +4x} the…

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