What is the distance of the point (7, 2, 8) to the line through the points (-3, 0, 1) and (1,-4,-1)? (1,

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A: Given,               I=∫Cz, x, y·dr, and C is the helix of r(t)=cost, sint, 3t.

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A: The Fibonacci numbers are defined by F0=0, F1=1 and  Fn=Fn-1+Fn-2  for n ≥ 2  ------(1)…

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Q: Evaluate J [G(x, y, z) dx, [G(X, Y, Z G(x, y, z) = 5xyz; x = J [G(x, y, z) dy I G(x, y, z) dx = G(x,…

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A: note : Since you have posted multiple questions, we will provide the solution only to the first…

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Q: Determine two linearly independent series solutions to x2y′′+x(3−x)y′+y =0, x > 0. (11.5.24)

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Q: Perform the indicated multiplication if possible. (Enter NONE in any unused answer blanks. If the…

A: Given 0-10-81x38-393x1[(0x8)+(-10)(-3)+(-8)(9)]=[0+30-72]=[-42]

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Q: 062 REPLICA OSZ ODZ 092 0/2 087 Find Y₂ given Y₁ OEZ OZZ 018 = 8X-1 1 SHATTER RESISTANT 00Z W[4₁742)…

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Q: Find the solution of the Cauchy problem for the differential equation y"-3y'+2y=(3-4x)e³x subject to…

A: Given differential equation y''-3y'+2y=3-4xe3xD2y-3Dy+2y=3e3x-4xe3xD2-3D+2y=3e3x-4xe3x

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Q: Consider the following linear programming problem: Max Z = 120x₁ + 100x2 Subject to: 3x₁ + 4x2 ≥ 8…

A: We have given the LPP models as  Max   Z = 120x_{1} + 100x_{2} Subject to: 3x_{1} + 4x_{2} &gt;= 8.…

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A: The given metric on ℝn is d∞x, y=maxx1-y1, x2-y2,....,xn-yn. We have to check the axioms of the…

Q: 4. Write as a single power first, if possible, and then evaluate. a) 5³ x 5 b) 4⁹ ÷ 47 c) (2¹)² -5 •…

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Q: 4. Find the general solution of y"(x) + y'(x) + y(x) = 0

A: y''x+y'x+yx=0

Q: On S = {3, 5, 7, 8, 9, 10, 12, 27, 30, 70} we work with the divisibility relation R: xRy ⇔ x divides…

A: “Since you have posted multiple questions with multiple sub parts, we will provide the solution only…