Consider the initial value problem: ty = −y+3t², y(1) = 0 (t > 0). Find the value of y(2).

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Q: Suppose that an is defined by setting a = = -2, a₂ = 0, and an = 4an-1-4an-29 where n ≥ 3. Using…

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Q: 3) Application of Optimization Problems. Use bordered determinants to check the following functions…

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Q: Consider the plane : x - 2y + 3z − 1 = 0 and the line 1: x = -1-29-2 = z + 1. 1. Find the point of…

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Q: The wavefunction of a 1D PIB is given by: 4₁=415567 sin( [π/a] x) what is the box length in pm? O a.…

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Q: A. B. C. D. E. 0.6667 0.2857 0.4665 1-30 01 2.2500 -0.3333 -0.4286 -0.5274 -1 5 0 -1.7500 -0.6667…

A: Given : a…

Q: 8. Determine the number of paths from A to B if you can only move Right and Down. H

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Q: function. Write f(x) = cos(asin-'(x)}) as a polynomial function, then graph the

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Q: Which of the following statement is NOT TRUE? O None of the given choices A convergent monotonic…

A: A bounded non monotonic sequence is divergent option is false ...... Example an=(-1)^n ....which is…

Q: (a) Find the critical numbers of the function f(x) = x(x - 2)5. x = (smallest value) x= (largest…

A: (a) To Find: The critical numbers of the function fx=x6x-25.   (b) What does the Second derivative…

Q: H.w: Find the Fourier series for the following functions: and The function is odd or even? -T≤x≤0…

A: To find the Fourier series for the below function. fx=1+2xx    −π≤x≤01−2xx         0≤x≤π

Q: A smooth curve C is defined by some vector function R(t) with R (1) = (л, 0, −2) and R¹(t) = (2, √√5…

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Q: Express b¹yy, in the terms of x variables where y, cx, and b¹c₁k = 8½.

A: Given: The expression is bijyiyj.  To express: The given expression in term of variable x. It is…

Q: Let p be an odd prime number. Prove that [(3)=1] → [p = 1 mod 6).

A: Introduction: A positive integer that is the area of a right triangle with three rational number…

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Q: Objective 3.2 - Exponential Find a formula for the exponential function of the form A f(t) = IBt =…

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Q: what method is this?

A: Here, the given system of equations is represented in the form,         Ax = b  ........... (1)…

Q: Question 2 (a) Find an orthonormal basis of the vector space P₂ of polynomials of degree at most 2…

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Q: B/ Express f(x) = cos wx, - < x < π, as a Fourier series. Hence prove that 2w 2w 2w + + π(ω2 – 12)…

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Q: Derive Σ PIN) = 1 from equation 1 1. N=O eq] P(N) = N'`~ N! Hint Sex ≤ x² n₂D nl [nd e N

A: Please see the answer in next step

Q: tables and chests. Producing a chair requires 2 hours of construction and 1 hour of painting.…

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Q: (b) Using the Taylor expansion of arctan x, 1<x< 1, calculate the sum 1 (-1)" 3r (2n +1)* n=0

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Q: (a) Find the rank of the following matrix for all values of a 1 a -1 2 2-1 a 5 1 10 -61 Show your…

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

Q: (b) Determine whether the following integrals converge. (i) ² x²+x-1 x5 + 3x dx, /2 5²1² ln(1+x²) x…

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Q: X3 y''' – 3x2y"' + 6ху' – 6y = x4 In|x| бу

A: Given equation is x3 y'''-3x2 y''+6xy'-6y=x4 lnx   To Find: The general solution and particular…

Q: (a) Evaluate the integral [21,22,23,21] 3(z − 1)²dz, z₁ = 1, %2 = 1 + i, z3 = −1 + i. (b) Show that…

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Q: Do for fully ta annoted x²+x-6 including asymptotes -x-2 Sketch diagonal

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Q: 7. Express 55C14 + 54C14 +54C15 as a single term from Pascal's triangle.

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Q: Consider the following normal form of a game. P Q neither i nor ii R O ii only O both i and ii O i…

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Q: For the function below, f(x), find the following: a) Domain b) Range c) (x, y) coordinates of…

A: Given: 37) A function 4x2+24x10x3+80x2+120x To find: a) Domain b) Range c) x, y coordinates of of…

Q: Determine all reversible elements in the rings P[x] and P[[x]].

A: Given: The rings are Px and Px . To find: The reversible elements in the given rings. Alterations…

Q: (a) Find an orthonormal basis of the vector space P₂ of polynomials of degree at most 2 with respect…

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Q: Prove that the following function is continuous at 0. x, if x is rational f(x) = {0, if 0, if x is…

A: Given function is f(x) = x,if x is rational0,if x is irrational

Q: Find the horizontal asymptote of the function. If a horizontal asymptote does not exist, determine…

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Q: Using the rule of sign evaluate e - वय x (a- Differentiation under Integral 1 +1 e-9x) dx x x

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Q: Which of the following arguments is VALID? Burgers are expensive and the soup is hot. Therefore,…

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Q: QUESTION 1 Given that = 0.2836 approximates f(x) = cos x at x = 5. 1. Find the absolute error 2.…

A: Solution: True value of f(x) = cos x at x = 5 (radian) is         f(5) = cos(5) = 0.2836621855. So…

Q: Seive the initial valuo problem x'(t)=Axt) for ta 0, with x(0)-(2,1) Classify the nature of the…

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Q: b) Find the equation of the plane containing lines ₁ : x = 2+5t, y = 4+2t, z = -t and l₂: x=2-t₁y =…

A: We have to find the equation of the plane containing lines l1 : x=2+5t, y=4+2t, z=-t and l2 : x=2-t,…

Q: Four students achieve the following grades on their midterm which was out of 20 marks: 4, 4, 4, 20.…

A: The mode is 4 as its is the highest occurring frequency. So it will reflect the accuracy or more…

Q: 5. All right cosets of H ≤ G have the same size. *True *False

A: 5. All right cosets of H≤G have the same size. True or False.

Q: is possible equation of classes:  Select one or more than one:  a.

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Q: Consider the following signals over the interval -1<t≤1, f₁(t)=1, f₂(t)=t, fg(t)=1/(t²-1). (a)…

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Q: If M is linear subspace of hilbert space H then M is clos

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Q: What is the equation of the tangent plane to the surface y = eº cos (z) at the point (1, e, 0)?

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Q: {n³ sin ( 1 )} 3 n3 [Select] [Select]

A: Convergence of the series

Q: Compute the orthogonal projection of point A coordinates (2,0) onto the Set M (the closed unit disk…

A: Introduction: The orthogonal projection of a onto b line parallel to b is known as the vector…

Q: Given the information below, estimate the total distance travelled during these 6 seconds using a…

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