Find the Fourier-sine transform of ƒ(x) = |x − 3| − |x − 2| + 1. -

Q: Q21) 2¹ (1) a) cosht-1 b) 1-cosht 2.2 c) (cosh2t - 1) d) (1-cosh2t) 0+20 th 21 (2)

A: Given problem L-1 1ss2 -1

Q: 9. All of the following statements regarding the general equation of the parabola x² - 20x + 4y + 88…

A: Let us consider the standard form of parabola x-h2=4p(y-k) The vertex of parabola is (h, k) The foci…

Q: A mini zoo is engaged in animal breeding where the animals require three different nutrients…

A: Given: X: no of units of product alpha Y: no of units of product beta X>=0,Y>=0 Minimize…

Q: Given the complex numbers z, = 2 + j3,zz = -1 - j2, and zs = 4 + j4 find; ZZ2 m(高) (5)+(6 (六)(五)+ Z2…

A: We have to simplify given complex expression.

Q: Let H and K be subgroups of a group G. (a) Define HK = {hk | he H, ke K}. Show that if K is normal…

A: We will solve all the three parts. Given that  H and  K are subgroup of G

Q: Q16) L-¹ (5-3)²+25) = a) est sinst 5 b) est sin3t 5 -at sint d) eatsinst

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Q: Six students are trying to identify an unknown chemical compound by heating the substance and…

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Q: : Let f [a, b] → R be a continuous, positive-valued function. Which of the following is a property…

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Q: (a) Express the permutation (2 4 5) (1 3 5 5)(1 25) as a single cycle. or as a product of cycles.

A: Note :-  As per our guidelines, we can answer the first part of this problem as exactly one is not…

Q: Housing prices in a particular neighborhood increased at a rate of $1,200 per year.  If you bought a…

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Q: Q1) One of the following is correct for functions the f(x) = 1 g(x)= x³ and h(x)= a) f(x), g(x) and…

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Q: Let C be the parametric curve with parametric equations Sx=t(t²+1)-¹/2 te [-3,3] y = 2t - 2 tan-¹t -…

A: The arc length of a parametric curve is calculated using the formula: L=∫ab(dxdt)2+(dydt)2dt, where…

Q: 25.2. Find the Laurent series for the function 1/[z(z-1)] in the follow- ing domains: (a). 0</z<1,…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

Q: I. Let C be the parametric curve with parametric equations x=t(t² + 1)-¹/2 te [-3,3] ly: = 2t - 2…

A: There are two points at where the tangent line is horizontal

Q: 2. Use Laplace transform to solve with y(0) = 1 and y'(0) = 0. y" + 2y' + 2y = 8(t = π)

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Q: -2 Q2) L-1 343 a)-2coshnt b)-2sinhnt Q3) The Integrating factor which make (3x²y + 2xy + y³)dx + (x²…

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Q: Rewrite the following quantities my 1) e5ln x+4Lny-In z 2) 2Ln√x + 2Lne - 2Lne* 1

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Q: 3 Find the area of the region bounded by 2x = y²+1 and the y-axis using the horizontal strip.

A: 2x = 3y2+ 1 Consider a horizontal strip at a distance y from x-axis of thickness dy.

Q: Given A = ผล 120 -2 0 2 2 -4 01 3 and b = 31 If Ax = b, compute the solution of x.

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Q: Determine the interval of convergence of Σ n=1 (x - 3)" 2T + 1

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Q: (d) Find the cosets of the quotient group (5)/(10), and determine its order.

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Q: please solve question 19 differential equations

A: As you asked for Question 19

Q: - Obtain a numerical solution of the differential equation = y - 2x in dx the rang 1.0(0.2) 2.0,…

A: To find the solution of the first order differential equation dydx=fx,y with the initial condition…

Q: Q1) One of the following is correct for functions the f(x) = 1, g(x)=x³ and h(x) In(x) a) f(x).g(x)…

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Q: Find all the conjugacy classes of D4.

A: We have to find conjugacy Classes of the Dihedral Group, D4

Q: Q2/ solve Simultaneous Differential Equations: Find X(t) only dx dy 2 +x+ = t ... (1) dt dt dy dx 3…

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Q: 1 Q1) L-1 s(s²-1) 02) The general colution of 11 a) co

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Q: 4. Σ( 11-13) π n=1

A: We have to determine whether the given series (4) is convergent or divergent. As in Question only…

Q: Let R be the region enclosed by the curves y = x³ and y = 2x². If we revolve R about the line y =…

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Q: A souvenir store wishes to produce two models of souvenirs: model A and model B. Every model-A…

A: Max Z  = 14x1 + 23x2 Subject to: 3x1 + 5x2 ⩽ 270  6x1 + 4x2 ⩽ 360 and x1, x2 ⩾ 0 On adding slack…

Q: c) s² L(y(x)) -sy(0)-y'(0) Q12) The kernel of the Laplace transform of f(t),t> 0, is: d) s²…

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Q: (a) Find the period of y = f(x). (b) What type of function is y = f(x)? Choose between odd, even or…

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Q: Covert the following propositions into propositional logic: a. I will lower prices and taxes when…

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Q: Q21) One of the following is correct for functions the f(x)=1,g(x)= x³ and h(x) = ln(x): a) f(x),…

A: To check the linear independence we shall find the Wronskian for the given three functions. To find…

Q: A new flag pole for a school campus measured 25 2/3 feet. It was put 4 1/2 feet into the ground and…

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Q: Q9) The linear form of nonlinear ODE y' - 2y = 2y*, is: b) u' - 6u = -6 a) u' + 6u = -6 d) u' + 6u =…

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Q: (a) Express the permutation (2 4 5)(1 3 5 5)(1 25) as a single cycle or as a product of cycles. (b)…

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Q: A mass of 1.25 kg stretches a spring 0.08 m. The mass is in a medium that exerts a viscous…

A: Please see the type of inputs.

Q: 31.4. Evaluate the following integrals: (a). √₂₁ (2-13² -dz, where y: |z| = 3, (z − 1)² (2+2)

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Q: (a) For integers a, b, q, r, prove that if a = bq+r then (a, b) = (b, r). (b) Determine (1000, 2025)…

A: Note: since you have  posted multiple questions. As per our guidelines we are supposed to solve only…

Q: (b) How many elements of the permutation group Se map 2 to 2 and 5 to 5, while the re- maining…

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Q: Q10) The general solution of y" +2y" -y'-2y = 0, is: a) y(x) = c₂e²x+c₂e-² +₂e* b) y(x) = c₂e-2x +…

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Q: Solve the system of equations x = 2-5z4y -4x - 2y = z-3 Enter your solution in parameterized form,…

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Q: V. Consider the lines : = 2z 6 and m: x=-1+ 10t, y = 7t, z = 2+t. 5 1. Determine if & and m are…

A: We have to check whether given line l And m are intersecting,  parallel or skew.

Q: Find the value of y (0.3), given the differential equations y = y²-y-x, y (0) = 1, h = 0.1 O…

A: We can solve this using euler method

Q: π containing both lines and m. o both and a normal vector of . Using do ㅠ. adicular to any normal…

A: The symmetric equation of l is x+15=y72=z-312 From the symmetric equation of l, we see that a…

Q: 1. A city averages 14cm monthly precipitation in July 10cm in January. Assume that the monthly…

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Q: If fn ‡ ƒ on [a, b], then lim ſå ƒn ‡ ſå f. If 0 ≤ an ≤ bn for all n E N, and an converges, then bn…

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Q: Prove with complete and neat solutions 1. Let H be a proper subgroup of G such that Vx, y ≤ G - H,…

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

Q: State the following theorems and definitions: 1. The Fundamental Theorem of Calculus (First Form) 2.…

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