1) Show that the square of an odd integer is odd. 2) Show that the product of two odd integers is odd.

Q: Find the solution of the following initial value problem: an = 14a, 1– 49a, 2; ao = 0, a1 = 6 an = a...

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Q: dx 2V x3 - 3x Vx In(2 Vx - 3x x)+C O v6nV2 + V3 + C V3 Vx X 1 In 2/2" V2 - V3 Vx |/3x - V7 + C о 1 -...

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Q: 4. Determine if the following complex functions are analytic or not analytic. a. f(z) = cosxcoshy - ...

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Q: ] Expand fit) in Fourier series in the interve) (- 2, 2) when fct) = -zst<o %3D

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Q: 5s2-4s-7 7. (s-3)(s²+4)

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Q: The ratio of the amount of money Ahmad has to the amount of money Siti has is 6:5. The ratio of the ...

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Q: Draw a Venn diagram from the given sets below. Write your answer in a separatesheet of paper

A: To draw a Venn diagram from the below sets. A=1, 2, 3, 4, B=3, 4, 8 B=a, e, i, o, u, C=i, o, b R=2,...

Q: Prove the Euler's formula: e" = cos0+ jsin 0 using the definition of the complex number

A: We have to prove that ejθ=cosθ+jsinθ. We know that ex=1+x+x22!+x33!+x44!+.......... Now, ejθ=1+jθ+jθ...

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A: d is not true 

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A: Introduction: An asymptote of a curve is a straight line with which the curve meets at infinity. The...

Q: Use Hthe methed 4 partial Sums determine Ho to covegence divergence or Σ

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Q: iteration 1 3 a 4,613 2,564 2,564 gcd gcd(4,613, 2,564) = Are the integers relatively prime? Yes No

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Q: Find the solution of the following initial value problem: an = 14a,-1– 49a, 2; ao = 0, a1 = 6 an = a...

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Q: Exercises 21–26, find (a) a basis for the column space and (b) the rank of the matrix. 2 4 -3 7 14 6...

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Q: 1. Let f(x) = r on [0, 5]. At r= 27, the Fourier series of f converges to (a) –27 %3D (b) 27 (c) 8 (...

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Q: Basis and Dimension In Exercises 75–78, find (a) a basis for and (b) the dimension of the subspace W...

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Q: 14. S-3 (2s +1) s' 15. 16. (s+3)(s +5) 2.

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Q: The answer above is NOT correct. Find the orthogonal projection of 20 onto the subspace W of R spann...

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Q: b. Find the value of V1-0.162sin²x dx using Simpson's 1/3rd rule, taking 6 equal subintervals

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A: Given, in average year in Las Vegas, there are 5 fires.

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A: Solution is given:

Q: Let A and B be invertible matrices such that A = A and B B '. Then the matrix BAB(AB)* simplifies to...

A: Introduction: The transpose of a matrix is nothing but swapping of rows and columns of the original ...

Q: What is the most common and useful numeration system for computer programming applications? O Base 1...

A: Q) 6)        base 2  option 5 is correct in the computer programming we use base 2 for numerical sys...

Q: Example 11. Find a particular solution of equation ty" – 2ty' + 2y = t°e*. yUni 13 21

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Q: Prove that - V ニ soL 2m+V-V d. (1) m! Pempv +1) m!Pem+v +1) Atur m20 2. m26 2

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Q: Write the following fractions as ratios: 625 (1) 875

A: To write the below fraction as ratios. 625875

Q: Question 6 Show that following problem is a convex programming problem and use the KKT conditions to...

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Q: Solve the following differential equation by variation of parameters. Fully evaluate all integrals. ...

A: Multipart:   We have given non - homogenous differential equation, y''+ 6y' + 9y = 3x First we will ...

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Q: What's 2+300

A: We have to find the sum of 2+300. Now  300+  2¯  302 Hence, 2+300=302

Q: A18.2 Let A be the matrix of rotation by T/26. Write the matrix which is the inverse of A13 and expl...

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Q: If a is any integer, is a(a + 1) even or odd?

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Q: 2. Express sin40 and cos40 in terms of powers of sin 0 and cos e only, respectively.

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Q: nd the neare

A: Given, the number is                                    3759