Corollary 8 In any acute triangleAABC the following relationship holds: ha 0dde 1I(tan B + t2 tan ) <1[ cot A(tan B+ tan C). 4331. Let S be a unit sphere. Suppose that the surface of S is coloured with 4 distinct colours. Prove that there exists two points X,Y E S of the same colour with |XY| € {V3, V).

Q: 8. Suppose the earth is a sphere with equation r + y?+ 22 1. On this earth, Edmonton has coordinates…

A: Draw a rough diagram of both the places and the intersection of the tangent from both the places.…

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Q: Express answers as radicals and fractions if applicable. The problem is according to Theorem 64. If…

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Q: Express answers as radicals and fractions if applicable. The problem is according to Theorem 64. If…

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Q: 16.10. Let y denote the boundary of the domain between the circles |2| = 1 and |2| = 2. Assuming…

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Q: Find T, N, and k for the space curve, where t>0. r(t) = (2 cos t+ 2t sin t)i + (2 sin t-2t cos t)j+…

A: Please rate and feel free to ask any query about any part of the question.  Thanks

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Q: (27=2 + 26xy + 10x – 2y°, 13x2 + 30y² + 2x³ + 22y)and let C be the circle a2 Let F = + y = 4…

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Q: Suppose f(x, y) = (x² + 4) sin(y) + xy. By setting one variable equal to a constant (either a = c,…

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Q: 1. Let F = -yi + xj and let C be the unit circle oriented counterclockwise. (a) Show that F has…

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Q: If C is a circle of radius 3 centered at the point (-4, 2 ), then evaluate £ (2y - eh (=) ) da + (6z…

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.