Problem 3: (a) Compute 71529 (mod 51). Show your work. (b) Compute 9-1 (mod 19) by listing the multiples. Show your work. (c) Compute 9-1 (mod 19) using Fermat's Little Theorem. Show your work.

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A: We have to find most precise estimate of g(28) using Midpoint Rule.

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A: The solution is below.

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Q: 5. What is the Laplace Transform of f(t) = t° cos h 2t? (42) b) 3/

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Q: Identify and sketch the graph of the given equation in R3. x2 + 2y2 + z2 - 8x + 12y - 2z + 35 = 0

A: We have to identify and sketch the graph of the given equation x2+2y2+z2-8x+12y-2z+35=0 in ℝ3

Q: Check the stability of the system x1 = -xỉ + x² x2 = -x1 + 2

A: Solution

Q: Answer item 2 only!

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Q: Express in cylindrical components: (a) the vector from C(3, 2, –7) to D(-1, –4,2); (b) a unit vector…

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Q: Example Find the root of the equation cos x = xe* using the bisection method prrect to four decimal…

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A: let p be a prime with p≡3mod 4 and suppose that q=2p+1 is also prime determine if 2 is a square mod…

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Q: 6 point IDENTIFY and SKETCH the graph of the following equations in R°. Make sure to rewrite the…

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Q: 1. Evaluate the following integral: (6 + 3 cos x) dx a. Analytically b. single application of the…

A: According to rule of bartleby We can solve this 1st three subquestions

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Q: I. Perform the following operations: d2 2d Â(x²), Â = dx² ++ 3 dx Â(xy³), Â = ду

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Q: Estimate the error in using the partial sum of 65 terms of the series k9 k=1 Error <

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Q: Which of the following statements is incorrect, assuming that all second-order partial derivatives…

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Q: Solve the system 4x1 -5x2 +3x3 +4x4 || 2 -x1 +x2 +2x3_ +2x4 2 3x1 -4x2 +5x3 +6x4 –3x1 +3x2 +6x3 +6x4…

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Q: Example: Fined all eigen values and eigen vectors of the matrix and check that P'AP is diagonal…

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Q: Find a particular solution y, of the following equation using the Method of Undetermined…

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Q: If the determinant of the coeffhcient matrix of a system of linear equations is very small compared…

A: this is the definition

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A: Eigenvalues and Eigenvectors

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Q: The given differential equation has infinitely many solutions xy' = y+1 where y(0) = -1. True False

A: Given differential equation is xy' = y+1

Q: 7. What is Laplace [ tu (t-2)] ?

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Q: Determine the Laplace Transform of the following: 1. te-3t + tcos2t + e-3icos2t 2. te-3'cos22t 3.…

A: Q2 asked and answered.

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Q: 1. Convert EF116 to decimal and binary number.

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Q: Identify and sketch the graph of the given equation in R3. x²/9 – y/4 - z? = 1. Also, show the…

A: To sketch the given equation x29-y24-z2=1, and also we need to show traces.

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