Determine the arc - length of the curve: x=² / ²² 3 x==²+2t+5 = 27(18+21) ³/2 for 0≤t≤2

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Q: (a) Determine whether 2 is a primitive element in Z37. (b) Find an element of Z37 that has order 12.

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Q: In each of Problems 13 through 20, verify that each given function is a solution of the differ…

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Q: (IV) Find the half-range cosine series of f(x)= x(7-x) in (0,7). Hence find the sum of 1 1 the…

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Q: 6. Consider [n] := {1,2,3,...,n}. The uniform subset graph U(n, k, i) has vertex- set the k-subsets…

A: Given: The set, n:=1,2,3,...,n. The uniform subset graph Un,k,i has vertex set the k-subsets of n.…

Q: prove that they are not isomorphic by finding an invariant. a to w w wie e Bio are de motor i te mo

A: This is a problem of Graph Theory.

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Q: Given F(x, y) = x² + y² and the system of ODEs 3 x = y, y = -x + Y what is the value of along…

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Q: 10. Is there any value of k that will make the planes kx + 2y-2kz + 3 = 0 and x-2ky + 5z = 0…

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Q: Q.7 (a) Obtain the Fourier series of the function f(x) (b) Show that, fcdu=e¹.x > 0. = {1,05x5

A: Using the Fourier cosine integral representation for the result of (b)

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Q: 144 desks is what percent of 300 desks

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Q: Using integration by parts, rewrite the following integral as fudv-uv-fvdu [In (2x) 4x² dx

A: Select the functions: u, dv for the expression: ∫ln2x6e4x2dx and then use the integration by parts…

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A: The solver program in the Excel can be used to optimize a function within specific constraints. The…

Q: Question 4 (a) For complex numbers z₁ = 6 + 6j and Z₂ = 4 - 4j, (i) find z = 21. Present your result…

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Q: Prove (((LOM)-N) U(N-(LUM))) < (LU (MUN)) L, M, N are sets.

A: Follow the steps.

Q: If the bank advertises it's rate as 6.2% compounded monthly and another bank advertises it's rate as…

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Q: Sketch two periods of the graph of the function p(z) - tan (2-4). Identify the stretching factor,…

A: To find- Sketch two periods of the graph of the function px = tanx - π4. Identify the stretching…

Q: Which of the following sets is linearly independent? -ex-y-5=x+C OM= {(1,3),(3,9),(-1,-3)) M=…

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Q: and if the rectum AB-AC втс Sos LABSBC and Bстав 2 AB & B Cund BC CAB з авж вс 4AB-Вс 5 All of the…

A: Follow the steps.

Q: EXER 7: MATRICES Prove that if N is invertible then MN¹ = N¹M if and only if MN=NM.

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Q: find solution using direct integral method for the partial differential equation below: 2³7 1 = 12…

A: Here we using integration w.r.t to x and y to find this

Q: Use the calculus of residues to evaluate the improper integral COSX -dx. (x²+1)³

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Q: Find the present value of payments of $300 made at the end of each six months for eight years. The…

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Q: a) How many derangements ) How many derangements has the set S? of S have 9 in the 2nd position and…

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Q: 1. a) Suppose A, B and C are sets. What do you need to show to prove the following using the…

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Q: (B) Use Tabular integration to evaluate the following: - f(t³-4t² + 5t+32) sin(t)dt

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Q: Question 3 See Handout 14. Let f(x) be a function of period 2 , where f(x) = 4x for 0<x<π and f(x)=0…

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Q: could you answer e) please

A: We will find how initial value make changes in rate of change in a function

Q: Thermic effect of food above RMR (kJ.h-¹) 80 60 20 h 5-- 5 x h kJ 0 0 1 2 3 5 6 Time (h) Figure 3.…

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Q: 2. Given that 9+² -3 (-1)n+1 = n=0 32n+1 X². Obtain the power series representation of each o…

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Q: Consider Ut - 3urz = 6, 0 0, t> 0, u(0, t) = 0, u(π, t) = ² u(x,0) = f(x), 0≤x≤T. (a) Find steady…

A: Hi! As per norms, we will be answering the first three subparts. If you need an answer to others…

Q: verify that each given function is a solution of the differential equation

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Q: -4 3 1 2. Let A = and define T(x) = T₁(x) = Ax. -2 2 5 -1 (a) Find T(x), the image of x = [] under…

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Q: A mining compariy produces'100 tons of red ore and 80 tons of black ore each week. These can  be…

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Q: 2. An oven technician charges a call-out fee of $50 and an additional $20 per hour for the duration…

A: The call out fee is $50 additional fee per hour = $20 per hour let t be the number of hours…

Q: 5. The dimensions of a cylindrical object are increased by a scale factor of 3. The volume of the…

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Q: Solve the following non-linear equations: 2 100x₁ - 10x₂² + 5x3³ = 70 3x₁² + 10x₂-X₁X3 = 5 X₁X₂ +…

A: Thank you for the question. According to our guidelines we can answer only  first question and…

Q: In a manufacturing process, the diameter of steel rods is distributed normally with a mean value of…

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Q: Find a general solution to the differential equation. y' + 2y = 2 tan 2t - 3t 21-11e³1

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Q: Q4) Find the root of f(x)= (x^2)-5, in interval [0,4] by using bisection method.

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Q: Consider the model y = yo + aot +[&t Et i=1 If we take the first difference, then the sequence {Ayt}…

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Q: 4-1 { 27. 9-1 2s - 4 (s² + s)(s² + 1))

A: Solution :

Q: solve the ode

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Q: Emily is making a closed rectangular box with a square base from two different woods. The wood for…

A: To find the dimensions of the box that will minimize the cost of wood.

Q: A symmetric encryption scheme has message space M given by M = {(m₁, M₂, M3, M4) | M₁, M2, M3, M4 €…

A: Follow the steps.

Q: (B): Find the integration by using substitution method fx √2x - 1 dx

A: here we use basic integral form

Q: Find the y(t)

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Q: Q1: If the function f(x) define as f: R f(x) = R such that (x+1, x>2 x²2-1, x≤2 Show that the…

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