[8] Rewrite the following statement less formally, without using variables: There is an integer n such that 1/n is also an integer. Determine, as best you can, whether the statement is true or false.

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Q: the interval [a, b], where c; is any point in the ith s Interval [-3, 3]

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Q: Consider the points A(3, –3, 3), B(4, –5, 1), C(-2, -4, 1), and D(6, 3, –5). (a) Find the volume of ...

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A: Given problem:- The altitude of a triangle is increasing at a rate of 2 centimeters/minute while the...

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A: I am attaching image so that you understand each and every step.

Q: У7-"(10т — 1)" —п n=0

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A: Here we check the convergence of the given Integral.

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A: The given differential equation is: xy'+y=1y2   We know that; ∫1ax+bdx=1alnax+b+C

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Q: Hiw.r provethat D2f +32f= y=o far the functionel xe -2y Coos 2X %3D

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Q: first prove that ()" <n! < ()" forn2 6.

A: We will prove                        n3n≤n!≤n3n for n≥6.

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Q: Consider the points A(3,-3, 3), B(4, –5, 1), C(-2,-4, 1), and D(6,3,-5). (a) Find the volume of the ...

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Q: Find the area of the parallelogram that has u = 2i – j+ 2k and v = 2j + 3k as adjacent sides. NOTE: ...

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Q: Show that (0,0) is a critical point of f(x,y) = x2 + kxy + y2 no matter what value the constant k ha...

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Q: dy Find if y = In x5 + e-cos2x – In e?. dx dy 4 sin x cos x dy 5 es sin²x-cos2 x dx e cos2 x-sin? x ...

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Q: An oil tank is being drained for cleaning. After t minutes there are Vlitres of oil left in the tank...

A: Here we will find all asked quantities,  

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Q: (c) Same direction as the vector from the point A(-1,0,4) to the point B(4,3, 3). 1 i + 2 w = k - 6.

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Q: Determine whether the series converges or diverges. +00 2n + 2 Vn3 + n2 + n n=1

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A: Given curves are:  x2-2kx-4ky+k2=0 4x-4y+k=0 The area bounded by them is revolving about the line x=...

Q: 1. Simplify. a. 2168 3i-89 + 4i114 125 +21213 31-314 b. 597 4185

A: a.Solution :2i68-3i-89+4i114we know that i2=-1i3=-ii4=12i17×4-3i-22×4+1+4i28×4+22i17×4-3i22×4+1+4i28...

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Q: If g(x) = Cos x – Sin x 7n a) Find g() and g () b) Show that g (5+ x) = g(n – x) 8

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A: The unit vector in the direction of u is defined by: {\displaystyle \mathbf {\hat {u}} ={\frac {\ma...

Q: x² + ax + 2bx + 2ab + 2x² – ax² + 6bx² dx x* + ax² + 2bx² + 2abx²

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