Find the Fourier transform of the following function. f(t) = sin2t [H(t+1) - H(t-1)]

Q: x 43210-7234 У 4-3-2-1 0 1 2 3 4 st 3 O Write the equation in rectangular coordinates (x, y and 2)…

A: We will find equation of cylinder from its standard form and the use relation between cartesian and…

Q: Given the below linear system, determine the following. Show all work. a. The existence and…

A: The given system of equation is 4y+z=012x-5y-3z=34-6x+4z=8. The objective is to check the exactness…

Q: A pen manufacturer determined that the total cost in dollars of producing x dozen pens in one day is…

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Q: Use the divergence theorem to calculate the flux of the vector field F(x, y, z) = 4xyi + zªj + 6yk…

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Q: (4) Compute 3180 mod 13 without using a calculator.

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Q: Diagonalize the following matrix. 8-50 5 0 41-2 0 0 03 0 00 3 Select the correct choice below and,…

A: Let given matrix is ,       A = 8-5 0  50   4 1-20   0 3   00   0 0   3  Matrix  A is said to be…

Q: Exercise 5.8.3 Let T: R² R² be a linear transformation defined by T Consider the two bases B₁ = {√₁₂…

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Q: Complete. When solving this problem, do as much as possible mentally. Refer to the conversion table…

A: Using  the conversion  table

Q: How long will it take money to double if it is invested at 5.25%, compounded continuously? Round…

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Q: Consider the following matrix: 3 6 3 A-3 -6 -2 -3 -6 0 For each of the following vectors, determine…

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Q: 31) Verify that Stokes' Theorem is true for the vector field F(x,y,z) = x² i + y² j + z² k, where S…

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Q: Use the method of undetermined coefficients to solve the given nonhomogeneous system. -31² t+5, X(t)…

A: Here first we find eigenvalues and corresponding eigenvectors. Then find particular solution

Q: QUESTION 4 Are the columns of the following matrix linearly independent? 1 1 1 6 1234 352 4 70 OO…

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Q: If complex numbers z₁, 22 and 23 are such that |z₁| = |22| = |23|₂ (3)- then prove that arg = arg Z2…

A: The given problem is to prove that for the given complex numbers z1,z2,z3 and |z1|=|z2|=|z3| to…

Q: You have complex numbers z₁ = e³-¹4, z₂ = √3+2i, z3 = ¾ − i- 1. Write Z₁ in classical form z = x +…

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Q: The sets B and C listed below are two different bases for R². B={[] []} -4 -2 = { [²3] [²2²]} 9 Find…

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Q: Explain what a derivative is. Give as much information as possible. (Some things to think about:…

A: We have to explain the derivative , what does the derivative represent and the use of derivatives.

Q: (a) The initial value problem discribing the situation of the problem is defined by:

A: To find the ODE and its solution.

Q: Find parametric equations for the line tangent to the curve of intersection of the surfaces at the…

A: The given problem is to find the equation of parametric equations for the line tangent to the curve…

Q: (1) Evaluate the following integrals. (b) C log.x (x + a)² +6² dx, where a, b > 0.

A: The given problem is to evaluate the given infinite integral of log(x)/((x+a)2+b2) for x=0 to…

Q: Consider the following. [1] [33] (a) Verify that A is diagonalizable by computing P-¹AP. A = p-¹AP =…

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Q: Exercise 6.3.7 Completely factor x4 + 16 as a product of linear factors. Hint: Use the result of…

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Q: 9. Find the general solution of the differential equation y" - 2y' = sin 4x.

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Q: Calculate Tu, T₁, and n(u, v) for the parametrized surface at the given point. Then find the…

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Q: The demans equation for a certain product is 5p^2 + q^2 = 1300, where p is the price per unit in…

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Q: If A is an orthogonal matrix then det(A) = ±1.

A: This is a question of Linear Transformation.

Q: Compute the surface integral over the given oriented surface: F = (0, 4, x²), hemisphere x² + y² +…

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Q: 6. Are the following relations on R equivalence relations? Justify your answer! a) R = {(x, y): x -…

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Q: f : R --> R is defined by f(x) = 2x+1, A= (0,1)  and B = [ -1,1 ]    find f [A] and f-1[B]

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Q: Prove that Serret-Frenet formulae can be written in the from t' = dxt, n'=dxn, b' = d x b and…

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Q: For the matrix A, find (if possible) a nonsingular matrix P such that P¯¹AP is diaconal. (If not…

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Q: •ff₂x (V x F). ds where F(x, y, z) = -7yzi+7xzj+5(x² + y²) zk and S is the part of the paraboloid z…

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Q: 1. Find a member of the family that is a solution of the initial value problem. y = c₁e4x + c₂e-*,…

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Q: Describe all the n E N for which (n) is not divisible by 4.

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Q: (a) Find the curvature and torsion for the circular helix x = a cos 0, y = a sin 0, z = a0 cot a a…

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Q: Use the fact that x = 2 sin x cos x = Σ n=0 n=0 to find the power series expansion of sin² x at = 0.…

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Q: A right helix of radius a and slope a has 4-point contact with a given and curve at the point where…

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Q: Prove that Serret-Frenet formulae can be written in the from t' = dxt, n' = dxn, b' = d xb and…

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Q: 2. A graph G has 9 vertices. Three have degree 4, two have degree 2, two have degree 1, and two have…

A: We use Handshaking Lemma for a Graph.

Q: Write a in the form a=a+T+aN at the given value of t without finding T and N. r(t) = (7e' cos t)i +…

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Q: If the manufacturer has 46.4 hours for painting per day, 28.4 hours for assembly per day, and 17.2…

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Q: model rocket is launched with an initial upward velocity of 65 m/s. The rocket's height / (in…

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Q: Indicate the number of solutions for each system of equations. If one solution, indicate the…

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Q: II. PROBLEM SOLVING Determine the value of the following definite integrals. For items that involve…

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Q: Calculate the value of the multiple integral. 27) SSD (x² + y²) 3/2 dA, where D is the region in the…

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Q: Exercise 5.9.9 Write the solution set of the following system as a linear combination of vectors 0 0…

A: As per our guidelines we are supposed to answer only first question . kindly repost other part in…

Q: Compare the growth rates of n²log² (n) and (n log(n))²

A: Given that: n2log2n and n logn2 To do: we have to compare the growth rates of the sequences.

Q: Find the first five non-zero terms of the Taylor series for f(x) M8 + Written compactly, this series…

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Q: # 75 Find y'(7/2) - e-¹-74 if y solves the initial value problem y + sin(2t)y = sin(2t), H y(0) = 1,…

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Q: The drug concentration in the bloodstream t hours after injection is given approximately by C(t) =…

A: Given that The Drug concentration in the bloodstream t hours after injection is given approximately…