Find the Fourier cosine integral representation of the following: f(t) = {t 0 < t < 1 elsewhere

Q: Using the data in the table, the distance traveled by the runner for 20 minutes can be obtained by…

A: runner's speed is given below tmin 0 5 10 15 20 vmmin 173 81 127 195 168 claim- calculate…

Q: Find a differential equation whose general solution is 6t y = c₁et + c₂e -3t = 0

A: We find a differential equation whose general solution is y=c1e6t+c2e-3t.

Q: 13. If m (0,p) is the middle point between A (-2,-10) and B (q, 10). Calculate the value of p and q.

A: Sol

Q: Consider the Venn diagram below. Shade the region corresponding to: (An B) nCº Aº - (B UC) B

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Q: (i) (ii) State the three physical interpretations of the divergence with a sketch of their vector…

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Q: Consider the following system of linear equations, 2x₁ + 3x3 + = -1 = 7 X1 3x₁ + 3x₂ 5x3 + 3x4 = 6…

A: matrix form of the given system 21-3112-2233-5345-75x1x2x3x4=-17610 Augmented matrix…

Q: -6 -5 -4 -3 -3 -2 8 HAP 7 6. 5 4 327 -1 -2 -7 1 2 ton 3 4 5 Find an equation for the graph above.…

A: Given is a graph To Find: an equation for the given graph

Q: 18. Apply the method of reduction of order to find a second solution of the given differential…

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Q: Find the general solution in terms of real functions. From the roots of the characteristic equation,…

A: Given below clear answer

Q: a. 1, 1, 2, 3, 5, 8, 13, b. -2,3, 4, 5, -6, 7,

A: a. Given sequence is 1, 1, 2, 3, 5, 8, 13, ... Here we can see that the nth term is sum of last two…

Q: Let S be the transformation whose matrix is A, and let T be the transformation whose matrix is B,…

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Q: Classify the quadric surface ² - y² - x² + 4x = 5. 2 य

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Q: Ahmet borrows n TL from Burak. Starting from today, Ahmet pays back to Burak 2 TL or 3 TL at each…

A: Given that Ahmet borrows n TL from Burak. Starting from today, Ahmet pays back to Burak 2 TL or 3 TL…

Q: Use the Laplace transform to solve the given initial-value problem. y(t) = y" - y'= et cos(t),…

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Q: 17. Given 2x+4 — 2x+3 = 1, find x.

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Q: Identify the type of solution for each problem and solve for the general solution. Choose the most…

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Q: (a) Find the general solution in terms of real functions. (b) From the roots of the characteristic…

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Q: Q2 (a) A cubic function is given, as follow: f(x) = (x+3)²(x - 2) (i) By taking h = 0.1, determine…

A: Given that: fx=x+32x-2 The objective is to determine the final answer for 2a.1 and 2a.2. Using…

Q: Please only do this typewritten, so everything is visible. I have a hard time reading handwritten…

A: Theorem 1. Closed set (Definition): A set D is closed if it contains all its limit points. Theorem…

Q: Consider the ray r(t)=o+ td with origin o=(1, 1, 0) and direction d = (1, 1, 1), and the plane N-x=…

A: To find the point of intersection of the ray and the plane. Given: equation of ray is: r(t)=o+td…

Q: . Determine the Fourier transform of the following: (t) = {e ¹³6, -1 < t < 1 elsewhere

A: We know formula for Fourier transform of f(t) F(ω)=∫-∞∞f(t).ejωtdt we have…

Q: Evaluate the double line integral S  of the fuinction (x − 2y + z) dS. S: z = 9 − x,  0 ≤ x ≤ 9,  0…

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Q: Identify the surface for p sin = 9

A: Note: We are entitled to solve only one question at a time. As the specified one is not mentioned,…

Q: Prove the following statement using induction. Every claim that you make must have a reason. Στα For…

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Q: Given surface A: 4x² - 9y² = 9(z² + 4) 1. Find an equation of the trace of A on each of the…

A: As per the question we are given the equation of a 3d surface A as : 4x2 - 9y2 = 9(z2 + 4) And we…

Q: The solution and answer is incorrect. Please provide the correct steps and answer

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Q: Explain why the function f(x) = 2 ln x − x attains an absolute maximum and absolute minimum on [1,…

A: Here first we have to find the critical points of the function on given interval by solving f'(x)=0…

Q: Determine if R is a field an integral domain a unital ring for R=Z/15Z, R=Z/16Z, R=Z/17Z

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Q: Let the universal set be the set R and let A = {x € R|0 ≤ x <5}, and B = {x ER| 7 < x≤ 10}, C = {x…

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Q: The average height of water in a harbour is 5 m. At low tide, the water height is 3 m. The tide…

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Q: Find a unit normal vector to the surface x² + 3y +z³ = 147 at the point (5, − 1, 5). O O O 1 √2,636…

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Q: (b) Given the equation of the irregular curve of stream, y = 16x² sin (x). Approximate the stream…

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Q: a. Find a particular solution to the nonhomogeneous differential equation y" +4y' + 5y = -10x + 5e…

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Q: Find all the basic solutions of the following LP problem Maximize Z = 2x₁ − 4x2 + 5x3 − 6x4 Such…

A: There are 4 variables and 3 constraints. So, we obtain the basic solution by putting 4-2=2 variable…

Q: a. A triangle can be drawn from any three points that are not on the same line. b. A square can be…

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Q: Let D CR and (x₂) be a sequence in R. Show that x→x such that x € D if and only if D is closed.

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Q: Question 3 a) b). Given the region D enclosed by y² = x² and x² + (y − 8)² = 32. - Set up the double…

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Q: (2) Let DCR and (x,) be a sequence in R. Show that xnx such that x € D if and only if D is closed.

A: Given : D ⊆ ℝ  and xn be a sequence such that  xn → x as  n→∞. To prove : x∈D if and only if D is…

Q: Use Stokes's Theorem to evaluate integral C of F · dr.  In this case, C is oriented…

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Q: Example 31 Show that the simultaneous equations 5x + 3y = 13 6x + 4y = 16 a 13 H[B] b Solve the…

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Q: Help Rico determine what his deduction amount is. Rico is entitled to a $6,250 standard deduction…

A: Given- Rico is entitled to a $6,250 standard deduction because he is single. Rico had the following…

Q: -11 -10 -9 -7 -8 -15 Submit Question -4 -3 -12 -16 + prot 15 -1 13- 11 10- 9 7 5 4 Jump to Answer 3…

A: Solution:-

Q: Find the points on the graph of the function that are closest to the given point. f(x)=x², (0, 9)…

A: Given function is fx=x2  and the point is 0, 9   To Find: The points on the graph of the function…

Q: h of the following statements correctly describes the waveform corresponding to this frequency…

A: we have to define the given graph.

Q: Determine a suitable form for Y(t) if the method of undetermined coefficients is to be used. y"-81y'…

A: Sol:- y'''-81y'=te-9t+10cos9tFirst , find the yh:-yh is the solution to the homogeneous ODE…

Q: If AB = B for some B # 0, then A is inertible.

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Q: Using

A: We use Vector Method.

Q: Given the following periodic function, f(t), find the Fourier series coefficient, ao, where a = =…

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Q: Evaluate S 0 2-9.x² dx using the Gamma function.

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Q: Q.55 Let A E Rmxn, c E Rn and be Rm. Consider the linear programming primal problem (A) crº≥ b yº…

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