03, 2020,

Q: (d) (i) Factorise the quadratic expression x² + 3x - 28. 22 (ii) Use your answer to part (d) (i) to…

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Q: Express the given quantity in the form a + ib. cot(+71) 2

A: Given: cot π2+7i To find: Solution

Q: 6. Find the Laplace transform of the following functions (c) g(t) = cos 3tH (t-π)

A: Introduction: The Laplace transformation is very significant integral transformation that is used…

Q: Estimate approximate derivative of f(x) = x2 at x = 1, for h = 0.2, 0.2, 0.05, 0.01 using first…

A: Given function is fx=x2. We have to estimate approximate derivative of the given function at x=1 for…

Q: solve for all possible values of x a) x^2 + 2x + (1 - i) = 0 final answers should be: -0.292893 +…

A: We have x2+2x+1-i=0 The solution of a quadratic equation ax2+bx+c=0 is: x=-b±b2-4ac2a So, the…

Q: -1 Given 4-3 x-2 0 0 2 x+1 and 14--5, Determine the value of rand (4)

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Q: B) Find (). For the following functions: xue-sinxu-x²(u+wv) (2) wp-v² (1) y= 3wvx2 cos xwv-4uew…

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Q: Find the Fourier transform of the given function. (a) f(x) = A(2x + 1). A(2x − 1)

A: As per the question we are given the function f(x) as : f(x) = Λ(2x+1) • Λ(2x-1) And we have to find…

Q: 2 (x + 3π)]dx

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Q: 2-9 x <3 - f(x) = x-3 kx-3 x ≥3 Find the value of k that makes f(x) is continuous at x=3.

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Q: The Value B(1/2, 1/2 list

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Q: Find all values of z satisfying the given equation. e²-1 = -ie² Z= n = 0, ±1, ±2,... eBook

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Q: The gradient of the function 2x1 + x2 - 3 evaluated in x = (0 0 0)² is:

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Q: ²²-i)² dx 2³+dz when the contour C is the circle |z − 21 = 5 +4 1 Z- COSZ Cosz, dz when the contour…

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Q: 2. Prove that Qn [2, 3] ~ N.

A: Two sets A and B have the same cardinality if there exists a bijection (onto , one-to-one…

Q: ating factor of the ec = 1 is xy) dy

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Q: +3 a 4 3- 2- H

A: from the given graph it is clear that f(-2)=1 &amp; f(2)=4 remember slope of a line passing through…

Q: Let A be a 2 x 4 matrix with two pivot positions. Determine if a) equation Ax = 0 has a nontrivial…

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Q: B) using polar coordinates. Find the value of the binary integral: e-x²-x²) dA. ** Good Luck **

A: Given integral is ∫02π∫12e−x2−y2dA. We have to solve the given integral by suing polar coordinates.…

Q: 2. Consider the following IVP y" + 5y +6y=0, y(0) = 2, y'(0) = 3. (a) Write the ODE as a system of…

A: Given: y" + 5y' + 6y = 0  To find: Solution

Q: Susan is a volunteer at the SPCA and has a 2-hour shift per day. Occasionally she assists the vet…

A: Please see the attachment

Q: 12. Camy bought three types of fish. The bar graph shows the number of each type of fish Camy…

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Q: Question 8 Given f (x, y, z) = zey - x sin-¹(3), what is fzz |ƒ(0,2,1)? 2e² 1 1 √√3 1 √3 none of the…

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Q: Use the logical equivalence laws and/or logical reasoning rules to prove that each of the following…

A: (a) The given arguments are                                               p→q∧r¬q→¬r…

Q: 1. How many arrangements could be made of the word GRATEFUL if: o there are no restrictions? o the…

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Q: (0 1. f(x) = 6 0 Find the Fourier series (ao, an, bn and the fourier series formula) if-2 < x < -1…

A: As per our guidelines, only first question is solved and for other question kindly repost the…

Q: Mrs. Parkes had to borrow some money from the bank. She would pay back the money with interest. She…

A: Mrs. Parkes had to borrow some money from the bank. She would pay back the money with interest. She…

Q: Q5. Solve the following by using Inverse Laplace Transform (i) s² S4-1 (ii) 3s-14 s²-7s+10

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Q: Consider the following differential equation to be solved using a power series. y" + xy = 0 00 Using…

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Q: Either prove the wff is valid or give an interpretation that is false: (p.71) 18. (EEX)[R(x) V…

A: Introduction: The rules of inference are also applied in case of quantified propositions. Along with…

Q: Write an equation for the polynomial graphed below. You can leave the function in factored form. 5…

A: Please see the attachment

Q: 3-2x 1./2+2x2 dx 2+4x²

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Q: help me solve questions numbers6

A: As per the question we are given six polar equations and given six  graphs. Now we have to match…

Q: 14 [mx if x - 10 Let f(x) = x² + 9x - 4 if x ≥ - 10 If f(x) is a function which is continuous…

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Q: The average degree of a tree is 1.998 (that is, if you sum the degrees of vertices and divide by the…

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Q: A phone number in Toronto is a 10-digit number. The first three is an area code which is 416, 905,…

A: Introduction: When we arrange a certain number of objects in a different order, the arrangement is…

Q: Q1. (a) Is there a real solution to the equation x7-5x¹-8x + 11 = 0 between x = 0 and x=1? Prove…

A: (a) To examine: whether a real solution to the equation x7-5x4-8x+11=0 exist or not. (b) To find:…

Q: find the equation of a sphere passing through the point(1,-3,4),(1,-5,2),(1,-3,0) and having on the…

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Q: Minimize C=20x₁ + 2x2 subject to 4x1 + x₂ 221 3x₁ + x₂ 25 X₁, X₂ 20 a. Form the dual problem.…

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Q: 20.22. (a) Suppose that X₁ ≤X₂ ≤. ... and that Xp X. Show that X, →X with n probability 1. (b) Show…

A: From the above details we have.

Q: In this set of exercises, H always denotes a Hilbert space. If M is a closed subspace of H, prove…

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Q: The simply supported beam loaded as shown. The length of the beam is 6 m, a = 4 m, the load P = 4000…

A: Given: l=6m, a=4m, P=4000N To find: Solution

Q: Assume that is a continuous real function on (a, b) such that √(x + 1) = 1 / 0 (0) + = 10 (19) Q(x)…

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Q: of [Adj A], if i -i

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Q: 5. For the control system represented by the following state space model -+- y = [10¹] 2e-t-e-2t 1…

A: Please see the attachment

Q: 4) Determine f(x) = co the point where the slope of the tangent is 0 for the function 0<x< 2π

A: The derivative of a function has a wide application. The most important application of differential…

Q: Describe geometrically what I does to vector x in R². 0 T(x) = 1 0 90 Reflection through the axis…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Either prove the wff is valid or give an interpretation that is false: (p.71) 18. (EEx)[R(x) V…

A: Introduction: The rules of inference are also applied in case of quantified propositions. Along with…

Q: The complete solution of the ordinary differential equation d²y dy +P dr + qy = 0 is dx² - 3x -X y =…

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Q: Use the Jacobi method and Gauss-Seidel method to solve the following system until the L¹-norm of Ax…

A: We are given the system of the linear equation x1+12x2+13x3=5612x1+13x2+14x3=51213x1+14x2+15x3=1760…