2) Let m and n be positive integers. Use the Convolution Theorem to evaluate the integral [²(t-7)™²7³¹ dr.

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Q: 7. Prove that the SolutmM of y + y = o is B sinx (hint y= Xu) by using Bessel's Functron definstian ...

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Q: Suppose the following data points are generated by a smooth function f(x): -1 -2/3 -1/3 0. 1/3 2/3 1...

A: Simpson's rule states that:∫abydx=h3(y0+4(y1+y3+y5+...++yn-1)+2(y2+y4+y6+...+yn-2)+yn), where h=b-an...

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Q: Suppose A C B, a E A, and a ¢ B – C. Prove that a E C.

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Q: Q: Solve the system of equations if consistent by Gauss Jordan method. x + 2y - 3z = -2 3x - y -  2...

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Q: 17 Find the inverse Laplace transform of F(s) : s2 + 20s + 136 17 1 L s2 + 20s + 136

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Q: 2. sir

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Q: -1 -2 -4 Find the eigenvalues and eigenvectors of the matrix A 4 3 3 %3D and d2 = and dz = 15

A: To find- Find the eigenvalues and eigenvectors of the matrix A = -1-2-4040-303

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A: Given points are xi 1 2 3 4 5 yi 0.7 0.73 0.8 0.75 0.6 Here, i=0, 1, 2, 3, 4.

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Q: the Curve y=2x=3== r x + 20 where the tangent is parallel to the X-aXis Find the points on 12 X + 20

A: When the tangent is parallel to the x-axis, dy/dx will be equal to 0  

Q: Which one of the following correspond to statement "Every comedian is funny" where C(X) is "x is com...

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Q: Let p be a prime. Show that -2 is a quadratic residue modulo p if and only if p = 1 mod 8 or p = 3 m...

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Q: Find the value of p(x,4)and p(x,6) using permutation formula where x is the 09.

A: We have to find the value of p(x, 4) and p(x, 6) using the permutation formula. Here, x=09

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Q: sin(x) sin(y)dx + cos(x) cos(y)dy = 0, y (0) = 2, h = 0.5, Find y (1) using fourth-order RK

A: 4th order RK method  yi+1=yi +16k1+2k2+2k3+k4Where ti+1=tn+h          k1=fti,yi,       k2=fti+h2,yi+...

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Q: Consider the following all-integer linear program. Маx 1x1 + 1x2 s.t. 4x1 + 7x2 s 31 1x, + 6х, s 18 ...

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Q: Evaluate -4/j^9 O a.j4 O b. 4j O C.-4j O d. all of the above

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Q: Use the table of Laplace transforms to find the inverse Laplace transform of 8 6 F(s) s + 3 g2 + 5? ...

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Q: 1.) Let G ={1,−1,i,−i} be the group of 4 complex numbers under multiplication.  (b) Is {1,−1} a sub...

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Q: Suppose that f(4) = 2, g(4) = 3, f'(4) = -4, and g'(4) = 5. Find h'(4). %3D %3D %3D (a) h(x) = 5f(x)...

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Q: QUESTION S Let glx.y) - x? - 2xy Find the absolute minimum value of g on the domain p defined by 15x...

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Q: Find the area. 40

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Q: QUESTION 4 Let f(x.y) = y2- x2. Find and classify the critical point for f. Oa (0,0) is a saddle poi...

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