Q1) Consider the group Z10X S5. Let g = (2, (345)) € Z10X S5. Find o(g). T LOV

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Q: 1. Find the inverse of A = 1 1 1 2 3 01 1 using the Gauss-Jordan method.

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Q: Trapezoidal (Use n = 9) 3 5. S¹ (5√x-³) dx √x 6. √² (5ex - e)dx

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Q: Find the volume of the solid generated by the region bounded by y - x² = -3, x+y = 3 about y = -5.

A: To find the volume of the solid generated by revolving the region: y-x2=3, x+y=3 about y=-5

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Q: Find the moment with respect to the y-axis of the area bounded by the parabola x = =9y-y2 and y = 2

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A: Note : As per our policy, we are allowed to answer only first part of question kindly post remaining…

Q: 8). Prove the validity of the arguments using the method of conditional proof. a). p → q (qvr) →→s…

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Q: Find the moment with respect to the y-axis of the area bounded by the parabola x = 9y - y² and y =…

A: It first moment about y-axis.

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Q: For each problem below, use algebra to answer the questions. You may find it helpful to draw and…

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Q: [*²2² √(−2² + 1)² dz

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Q: and m' be two R-modules. e set Hom, CM, Mm) is an group under pointwise of morphism

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Q: ) Using each graph of y = f(x), sketch th [(x) and g(x).

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Q: There is strong evidence that the first level of processing what we see is done in the retina. It…

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Q: impson's One-Thirds (Use n = 10) 7. S¯½ (5x³ − 2x² + x + 3) dx -24 sin r

A: Since you have asked multiple questions so as per guidelines we will solve the first question for…

Q: 1. Find the inverse of A = 1 1 0 1] 1 2 3 1 1 using the Gauss-Jordan method.

A: Solution

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Q: Q. If B = {e, = the usual basis R2. Determine its dual basis. ?? ده رده را( = (D, 1)} is

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Q: Q₂: Find the solution of the following Differential Equation using Inverse Leplace: y + 4y+3y=0 >96)…

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Q: a) 2 B3] b) 001 010 101

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Q: The curve defined by R(g) = 1. Considering f(g) to be a function such that f (1) = 0 and f' (1) =3.…

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Q: All the following PDEs are nonlinear EXCEPT: (A) Uz 1 U₂ +-Uy= y U (C) Uaz + Uz Uy = 1 (B +u= F zy…

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Q: Given x = y²+2y 8 - In(y + 1), find the arc length for 0 ≤ y ≤ 3

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Q: (f) One of the following 2nd order linear PDEs is elliptic: (A) + 2lay theo (C) 1-2y + ly <<=0 (B) -…

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Q: Consider the vector-valued function R (t) = ( 8/3 t 3− t, 2t2 , 2 − 2t2 ) - Find II R(t) II…

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Q: 4. Evaluate the line integral along the path C given by x = 2t, y = 10t, where 0 ≤ t ≤ 1. (a)…

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Q: Find the centroid when revolved in y-axis: y³ = x² ; y = 4.

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Q: QUESTION 2: Find the approximation for the integral 4 1 S₁ 2x² dx, when applying: the Trapezoidal…

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Q: 11. Obtain the moment of the area with respect to the y-axis of the area bounded by the parabola x =…

A: Given curves area  x=4y-y2 and y=2xorx=4y-y2 and x=y2

Q: Find the volume of the solid generated by the region bounded by y - x² = -3, x+y = 3 about y = -5.

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