Find the distance between these two complex numbers: -8 + i and -3 + 8i.

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Q: 5. Let R be a commutative ring with identity. Let f: R[x] → R be defined by f(p(x)) = Eo ai, where…

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Q: 4. Solve the systems of linear equation below 2a + b + 5c + d = 5 a +b— Зс + 4d %3D -1 За + 6b — 2с…

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Q: Problem 12.1.12. (a) Let (a, b) and (c, d) be two open intervals of real numbers. Show that these…

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Q: 2. Let A:= {1,2,3, 4} =: B and T:= {(a, b) € Ax B | e Z}. (a) Find A x B. (b) Find T (c) Check what…

A: Given: A=1, 2, 3, 4=B and T=a, b∈A×B : a+b+12∈ℤ To find: a) Find A×B b) Find T c) Check what…

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Q: 1. The binary operation * defined on Z by x * y = 2xy. Show that * is commutative and associative.…

A: 2. Given that, x*y=1+2x+2y Let x,y,z€ Z  NOW  y*x=1+2y+2x       =1+2x+2y       =x*y  So * is…

Q: 5. 10 20 60 30 40 50 200 230 264.5 304.17 462.61 y 349.8 402.27

A: We have, For Linear the rate of change test is  y2-y1x2-x1=fx2-fx1x2-x1=m For exponential functions,…

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Q: 6. Graph r = 7 cos(30) below. The graph must be very accurate. Label lots of points (at least 10)…

A: The given function is: r=7 cos 3θ Calculate the value of r at θ=0°: r=7 cos 30°=7 cos 0°=71=7…

Q: continue predict the population, create a table of values for the population in 1990, 2000, 2010…

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Q: 10z? + 7z – 12

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Q: For #1&2, describe the end behavior of the graph for the polynomial function. y = 7x5 + 8x2 – 10 1.…

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Q: 5ei C. 2e0.25πί-e- πί (Express your answer in rectangular form)

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Q: 0 2 1 X' =1 1 -2 X 2 2-1 -cos(1)[C(i+3) +5C,2C, + (3 – 1)C,] + sin()[G(i-1)-5G42G1-1(3-1)0 X(t) =

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Q: 2.x = 3 (mod 11) тod 10x = 7 (mod 13) тod

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Q: Find the area of the region enclosed by the curves y = sinx, y = cos x, x = 0 and x = 2n.

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Q: 3. Suppose that the revenue in selling r tables is equal to 200x – 0.25x2 dollars, and producing a…

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Q: 14 (1). If f (x, y) = -x³ + y* - 3xy + 9x? + y, then in the process of obtaining its critical points…

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Q: A chemist has three different acid solutions. The first acid solution contains 20 % acid, the second…

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Q: The point (17, -9) is translated to the point (6, 2). Select the description of the translati 5 A 9…

A: Given that the point (17, -9) is translated to the point (6, 2)

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Q: (b) The image below shows the contours in the xy-plane of a smooth surface defined by z f(z, y).…

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Q: (1) x(xt!) y"+ (3x-1)y'ty =O

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Q: 6 Use substitution to find the Taylor series at x = 0 of the function 1-4x ... What is the general…

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Q: Find the missing digit in the number 1234x34780 if we know this number is a multiple of 9

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Q: 5. Find the real part of the dot product of the vectors u" = (1 – i,1+ i) v° = (5+ i, –3 – i)

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