6. Show that Autoq(Q[3], 5]) is finite.

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A: Given,        y=0, and y=x-x2

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Q: (a) Assume that f(x, y, z) and F(x, y, z) are arbitrary differentiable functions such that f(x, y,…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

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Q: is the curved line enclosed by the circle.

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Q: B)Is w = Zez analytical function or not?

A: Given complex function is w = zez

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Q: B)Is w = Zez analytical function or not?

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Q: 6. Factor fully x³ - 1

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Q: Integrate f(x) = 0.5 + 20x + 3x4 from a=0 to b=3, given N=12 by using a) Simpson's 3/8 approximation

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A: Explanation of the answer is as follows

Q: .. Evaluate. a) 2³ x 4² x 2-3 b) 81¹/4 - 81/3

A: Evaluation of numbers

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Q: Prove the inequality x² + x² + ... + x² n IV 2 2+...+ ²₂ ) ² n

A: Explanation of the answer is as follows

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A: Sol 1 .    f(x)*g(x) 2x-3-4x2+9Apply FOIL method:  a+bc+d=ac+ad+bc+bd2x-3-4x2+9=2x-4x2+2x·…

Q: If L {f(t)} = F(s) then L{eat f(t)} = F(s) (s-a) F (s) s-a F (s-a) F (s + a) خيار 2 الخيار رقم 1

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Q: Q4A) Find area bounded by y = 0, y = √x - x² using double integration.

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Q: * the complex number 6√3+6i in polar form O 12(cos(π/6)+isin(π/6) O 12(cos(π/4)+isin(π/4) O…

A: 1. Given complex number is 63 + 6i As Arg z = tan-1yx = tan-1663 = tan-113 = π6 Also r = 36 + 36 x 3…

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A: According to guidelines we can solve only 3 subpart.

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Q: Q3A) Find normal line and parallel plane to the function f(x, y, z) = x²y²z² - 4 At point (1,-1,2).

A: To find: Equation of normal line and parallel plane to the function f(x,y,z)=x2y2z2-4,at (1,-1,2)

Q: 21 = 2(cos(267)+isin (267)) and 22=18(cos(60) + i sin (60°)). Compute each of the following (without…

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A: To find the mass and the center of mass of the lamina. Given that density function is ρx,y=yx2 and…