2. Find the inverse of A = == CN 2 1 -1 3 - -1 2 2 22 12 3 2 using Gauss-Jordan method.

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Q: Find the volume of the solid generated by the region bounded by x2 + y = 6, y = x, y = -2 and x = -2…

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Q: te Fourier transfor 33 43

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A: Since  you have posted a multiple  question according to guildlines I will solve first  (d) question…

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Q: to form triangle HTJ. What 18 I' H' 20.1

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Q: 3. Calculate the circulation of A=p coso ap+ z sino a: around the edge L of the wedge defined by 0≤p…

A: Here we have given that, A=ρcosϕaρ+zsinϕaz and wedge is defined as, 0≤ρ≤2, 0°⩽ϕ≤60° and z=0 as shown…

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Q: Village C (he is at Village A): A → Bk → C for k Marvin is deciding a path from three (3) routes to…

A: Solution : Conditional probability: probability of A given that B already happened. P(AB)=P(A∩B)P(B)…

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Q: Lett: V→ V' be a linear transformation. Then (1) Ker (t) is a vector sub space of V, and (ii) im (1)…

A: The solution is given as

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Q: Find the volume of the solid generated by the region bounded by -x + y² = 8, x = −2 and y = -2…

A: Follow the steps

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A: Given curve is  C=xt=13t3-t+1,yt=t-tan-1t,t∈ℝ

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Q: 1. Use Cramer's Rule to solve the below given problem. 4 5 -2 11 A = 7 12 -6 X = 49 2 6 0 8

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Q: 8 (1) = {(In(3-1) 141-13, 38²2-8), t), ‚31² t (0,−1, 4), t . Find the domain of Ř.

A: This is a problem of vector calculus.

Q: II. Consider the polar curves C₁ : r = 3 (in blue) and C₂: r=2-2 sin (in red) and let R be the…

A: Consider the given polar curves, C1:r=3 and C2: r=2-2sinθ

Q: Let C, D and E be the polar curies below: Cir=f(0) = 3-3 cos 0 E³r = g(0) = 1/2 500 € C D: r = 3 the…

A: (1)C : r =f(θ) =3-3cosθ,E : r =g(θ) = 32secθSo,C0 : r =f(θ) + g(θ) =3-3cosθ +32secθ⇒r =3-3cosθ…

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Q: Given: planes II₁: 2x - 5y + z = -1 and II₂ : x + 5y + z = 5 intersecting on a line l (a) Compute…

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Q: II. Consider the polar curves C₁ : r = 3 (in blue) and C₂ : r = 2-2 sin (in red) and let R be the…

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Q: Identify the length of the curve 1X = ²+2y — In(y + 1), for 0 ≤ y ≤ 2. - 8

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Q: - (² homogeneous system ty' = 2 -2 Y +

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Q: Find the moving trihedral of the curve R(t) = (e^t)sin(t)i − (e^t)cos(t)j + (e^t)k at any t in the…

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Q: The following function(s) f is a one-to-one function: Find its (1) inverse and then (2) Sketch the…

A: 8 (a) Given,                      f(x)=x+2-1

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A: To determine the company's profit if the marginal profit is $0.

Q: 5. D = 2000 2 1 -5 Evaluate D.

A: 2  0  0   0-5  3  0   0   3  2  4   0   4  2  1-5  =  (2)(-1)1+1 3  0   02  4   02  1-5…

Q: 8. Find the equation of the circle with center (-9, -3) and tangent to the x- axis.

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Q: The function y(x) satisfies the inhomogeneous second order linear differential equation d²y dy dx²…

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Q: Find the volume of the solid generated by the region bounded by -x + y² = 8, x = -2y and y = -2…

A: Frist we graph identify region bounded by given curves Now we know volume of the solid formed by…

Q: Find the volume of the solid generated by the region bounded by x² + y = 6, y = x, y = -2 and x = -2…

A: Follow the steps.

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Q: 1. Find R(t) which is supposed to be a differentiable vector fund t > −1 with R′(t) = (1+' 1+²,1 +…

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Q: Consider the polar curves C₁: r = 3 (blue) and C₂: r = 2 − 2sin0 (red) and let R be the shaded…

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Q: (a) Solve the first order linear ordinary differential equation dy x sin x- + (sin x + x cos x) y =…

A: The solution is given as

Q: iven as y" + 2y'-3y = 2x³ + x - 3. Solve the particula PI).

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Q: het Ley) = y(4) + y (3) _ 7 y (2) _y (¹) al solve: Lys = 36t-24et > b) solve: hy)= 36t-24et 2.2t c)…

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Q: 4). Use rules of replacement to prove the following: a). (p^~q) (p^q) = p b). (pvq) →→ r = (p → r) ^…

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Q: The population of a town is decreasing at a rate proportional to its size. In 1980, the population…

A: Given that  The population is increasing proportionally, given that in 1980 population=50000,…