Find an equation for the graph shown below. (Hint: use the form y = a(x – h)? + k) -6 -5 -4 -3 -2 -1 2 3 4 5 6 -2 -4 -5+ y =

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Q: M K.C.aw Мо (1 - К.аш) - (1 — К -а + С. К.аш)

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Q: Q7

A: We use theorem of linearly independent and linearly dependent vectors.

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Q: n - Proposition 10. Let n and k be positive integers. Then k = n k k – 1

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Q: 48. Let f be a function defined on ]0, 1[ by : 0, if x is irrațional f (x) = {1/q, if x=p/q; where p...

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A: Using combinatorial proof, we have to prove 1+2+4+8+⋯+2n=2n+1-1 where n is a non-negative integer.

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A: Given: F = [0,1] and let fi(x) = sin(x), f2(x) = cos(x) and || || = || | . Is || ll strictly convex ...

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A: To find the area inside the larger loop and outside the smaller loop of the below curve. r=12+sinθ

Q: If X = {1,3,4,15}, Y = {2,3,4,7} and Z = {2,4,6,9}, then what is X U (Y N Z)? а. {2,4) b. {4} c. {1,...

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Q: To evaluate the exact value of f(x) = (4x° + 7x - 9)(x29 - 3)29), what order of the Taylor series %3...

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Q: a of the following juncions. s- 1 (b))F(s)% = %3D 2s2 -8 s + 11

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Q: Proposition 7. Let a, b, c, d E Z and n be a positive integer. If a = b (mod n) andc = d (mod n), th...

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Q: Evaluate the integral by changing to cylindrical coordinates. 100 - y? 10 10 xz dz dx dy x² + y? -10...

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Q: Consider the series E (In (2n + 1) – In(2n – 1)) . n=1 (a) Let an = In(2n + 1) – In(2n 1). Does {an}...

A: The main aim is to check the convergence of the series based on the sequence of  nth partial sum of ...

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A: The fixed point iteration formula x=g(x) converges for x=x0 if g'x0<1.

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Q: Find the set of all positive integers n with the property that the set  M={n,n+1,n+2,n+3,n+4,n+5} c...

A: A very good problem based on a nice application of quadratic residues

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Q: Find the inverse Laplace transform of: 1 1+2s (a) (b) s+7 - 2 s+4 (c) (d) s' +6s +10 s' + 2s +5

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Q: 1. f(t) = 5(e^-4t)[cos(10t)] A. (5s – 20) / (s^2 - 8s + 116) B. (s - 4) / (s^2 - 8s + 116) C. 50 / (...

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Q: In this exercise, we suggest the use of technology. Round all answers to two decimal places. Maximiz...

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Q: Use the cofactor expansion to compute the following determinant: 10 -9 3 det -5 6 -7 = 0 -7 1 -9

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Q: Use the row reduction algorithm to transform the matrix into echelon form or reduced echelon form as...

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Q: Determine whether the series is convegent or divergent. If it is Convergent, find its Sum. 3, 11, 12...

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Q: (-1)"+l2nx" n² +3 +12nx" 2 n=1

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Q: SARA 50 75 100 125 150 175 200 225 250 275 300 i. Who earned the highest weekly salary? i. Who earne...

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Q: Let A, B, C be sets. Use a sequence of set equalities to show that: AU(BnC) = (C UB)n A

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