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Q: Change into polar, cylindrical, or spherical coordinates to evaluate the following integrals. and D…

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A: Ruge-kutta method of order 2.

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A: Solution is below.

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Q: Calculate the value of U3 that corresponds to μ1 = 54, μ0 = 46 and σ = 8.9999. please use excel for…

A: Excel sheet clculations require calclulation as value final and they take 54-46=8 and then σ=9.

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A: We know, for this right angled triangle,        sin 690 = Perpendicular/hypoteneous…

Q: 8 Evaluate the integral dx using the two-point Gaussian quadrature rule. 16+z1 -2

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Q: Suppose that AJKL is isosceles with base LK. %3D Suppose also that mz L= (5x-17)° and mz K=(2x+22)°.…

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Q: Prove that for every prime p, there exists an integer r, such that r = 16 mod p.

A: To prove: For every prime p, there exists an integer x, such that x8≡16 modp.

Q: Use the first three non-zero terms of power series to approximate | sin x dx.

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Q: 3. Using the following table find f(x) as polynomial in x x -1036 7 f(x) | 3 -6 | 39 822 1611

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Q: If my recipe calls for 65 lbs of cubed sweet potato, and it has a yield of 75%, how many whole…

A: Given, recipe calls for 65 lbs of cubed sweet potato, with a yield of 75% .

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A: To explain: Why the shelves of a fishing tackle box are always parallel to each other no matter what…

Q: Show that the following term β -reduces to 11 : [2, 3, 4] plus 2

A: Church Encoding : In mathematics, Church encoding is a means of representing data and operators in…

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Q: Find the Re(z) and Im(z) z=sin(e^i3)+sinh(5∠30)

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Q: Paluate the triple integral. 3xy dV, where E is bounded by the parabolic cylinders y = x and x = y…

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Q: 3 – i -2+i 1 a) P = Ye= -2+i b) P = Yes No -i 0

A: Unitary matrice.

Q: G14. Draw two 'different' graphs with five vertices and degrees {1, 2, 2, 2, 3}.

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Q: {an} = {} 4 2

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Q: . Draw a graph with 4 vertices each of degree 2.

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Q: Find the interval of convergence. (x + 6)" (n In(n))² n=2 (Use symbolic notation and fractions where…

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A: (a)  Tangent to a circle is the line that touches the circle at only one point. From figure we can…

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Q: For the DE system x' = Ax Which of the following matrices corresponds to the phase portrait shown?…

A: (sorry Option First is not clear )  All Have Complex Conjugate Eigen values so All Option are…

Q: G12. Construct the graph for the adjacency matrix: In29)= MatrixForm [matrixExample]…

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Q: D2) Let A= Fid ABud BA al B.

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Q: determine the value of the parameter a that will make the function f(x) = [ax+1, x- -1

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Q: G11. Can there be a graph with 8 vertices and 29 edges? Justify your answer.

A: see attached image below

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A: We have to find the constant part in the inverse Laplace transform.

Q: Find the Inverse Laplace Transform. 98-8 F (s) = %3D 82-4s+20

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Q: 1. Exercise. Suppose p : R → R° and q :R → R° are vector-valued functions. Further assume p'(-1) =…

A: We have to find v'(-1).

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Q: 2. Consider a four-input function that outputs a 1 whenever an even number of its inputs are 0. a)…

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Q: ed on the

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A: Let x represents the number of buses and y represents the number of vans. Given that, the rental…

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A: The given surface is z=5x2y and y=1-x2 We know the volume of the surface is given by…

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Q: 32 – 23 1. (a) What is the value of 23 - 32 (b) What is the value of VST+ V9 - V64 ? (c) Determine…

A: Solve the algebraic equations

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A: Given that, the average fuel cost for one trip is  €1.80.

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Q: a) V = R", (x, y) = (Ax) · (Ay) where A e Mn,n is invertible.

A: Given that, V∈Rn,  A∈Mn,n is invertible matrix, i.e  A≠0 we have to show that x,y=Ax.Ay is inner…

Q: If f" (z) (known) is the second derivative of f (z).(an unknown function) thenS f" (x)dzis. f' (z)…

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Q: 10 1. Sets and Events Example 1.4.1 As an easy exercise, check that you believe that lim [0, 1- 1/n]…

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