Identify the equation of a circle given its center and radius. Write it in standard form. C (1,-4);r= 11

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Q: Consider the following vectors X = 3. , V1 = V2 = 4 LINEAR ALGEBRA AND MATRIX THEORY Let S be the su...

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Q: dx Vx+3

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Q: 2. Sx (x² – 2)14 dx

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Q: 4 The value ofn can be calculated from the integral -1 1+x2 Approximate T using the Weddle's rule

A: Given  π=12∫-1141+x2dx=∫-1112·41+x2dx=∫-1121+x2dx Here, we have to approximate π using Weddle's rule...

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Q: Prove the statement by induction .+ (4n – 2) = 2n² 2. 1+ 4 + 7 + . + (3n-2) = n ( 3n - 1) 1. 2 + 6 +...

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Q: Solve the following: (Show all details) 1.Let matrices be -2 -21 A = | 10 -3 L-10 5 19 4 -4 B = 4 7 ...

A: Multipart:   We have ,   A = 6-2-210-311051  ,  B = 94-4470-4011  , C = 310-240a = 512  , b = 308 (i...

Q: 2. Prove that |µ(n)| _ S(s) S(2s) n=1 if s > 1.

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Q: Let F(x, y, z) = xyi + y²j, find divergence and curl of vector field F.

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Q: I=3 (z+e Let C be a unit circle. Then, 2i-e2z I = § dz c (z+e)8 O ei 0. 21 ONone of these

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Q: 15. Solve the equation: x? + 81 = 0. А. (9) C. {-9i, 9i} В. (-9, 9) D.{9i}

A: 7) B 8) D 9) B 10) B 11) A

Q: 1. Let matrices be 3 0 4] A = |-1 2 2 5 4] [0 2] C = 2 4 li 3. -5 -31 1] D = |-4 7 L-8 3 6. B = |-5 ...

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Q: Answer 1

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Q: Determine whether each of the following functions is (a) continuous (b) differentiable. Show a compl...

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Q: 9. The value i*i is real imaginary number O True O False

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Q: (c). y"+5y'+ 6y = 1 – t u3(t) – t2us(t), y(0) = 0, y'(0) = 0

A: The Laplace transformation is an efficient tool in solving the initial value problem. It provides a ...