Suppose there are 10 points in a plane such that no three points are collinear. How many distinct triangles can be found with 3 of these points as vertices?

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A: (7x2-17x+38)/[(x+6)(x-1) 2]=A/(x+6) +B/(x-1) +C/(x-1) 2

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A: Given problem:- Let the curve C: f(x)=x3 +6x2 -15x+8. Find the value(s) of m for which the line y =…

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A: Here we have to find the area.

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A: As per our guidelines we are supposed to answer only one question at a time. So I am solving the…

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A: Given: f(x)=8sin x6 sin x+4 cos x f'(x)=(6sin x+4cosx)d(8sin x)dx-(8sin x)d(6sin x+4cosx)dx(6sin…

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A: Determine whether the sequence converges or diverges. If it converges, find the limit.

Q: Suppose there are 10 points in a plane such that no three points are collinear. How many distinct…

A: Given; There 10 points in a plane such that no three points are collinear

Q: The population P (in thousands) of Reno, Nevada from 2000 through 2007 can be modeled by P = 346.8e…

A: The population Pin thousands of Reno, Nevada from 2000 through 2007 can be modeled by P=346.8 ekt,…

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Q: SOLVE THE EQUATION. SHOW YOUR COMPLETE ANDCLEAN SOLUTION. (x – 2y + 5) dx - [2 (x – 2y) + 9] dy = 0…

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Q: IV. On Circular Permutation In how many ways can eight people be seated at a round table? . In how…

A: Note that, in a Circular fashion we can arrange n elements in (n-1)! ways.

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Q: 06 00 11. Using cofactor method, prove that det M = abcd 0. 0 0 0 0 0 d 3

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A: As per guidelines we can solve only first three sub part of the question. Solution From a standard…

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A: To find  the  value of given integral.

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Q: Find 4 [3f (x) – g(x)]dx = i if 4 4 |r)dx = 4 and g(x)dx = 20

A: This question is related to definite integration, we will solve it using given information.