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Where does the geometric series formula come from?

Rearranging the terms of the series into the usual "descending order" for polynomials, we get a series expansion of: ax n-1 + ........ax + a A basic property of polynomials is that if you divide x ...
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Answered by Naheem A. • Maths tutor
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The points P (2,3.6) and Q(2.2,2.4) lie on the curve y=f(x) . Use P and Q to estimate the gradient of the curve at the point where x=2 .

To answer this question you will need to recall the formula for the gradient of a straight line. Cordinates are written in the form (x ​1,x 2 ​) and (y 1, ​y 2 ​). The formula takes into consideratoon the co...
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Answered by Abdulmuminu Y. • Maths tutor
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Solve the quadratic equation x^2 + 4x +1 = 0 by completing the square.

Completing the square means to put our equation into a slightly different form which looks like this, where a and b are real numbers: (x+a) 2 + b = 0 From here, we can rearrange the equation and directly sol...
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Answered by Andrew P. • Maths tutor
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Integrate this funtion f'(x)=2x +4 with respect to x (C1 integration)

Solution to Answer: y= (2x^2)/2 + 4x + C Therefore: y= x^2 + 4x + C Steps on how to do C1 Integration y = a*x^n y = a*x^n is y = (a/n+1)*x^(n+1) Therefore, our final answer in this case is y = (a/n+1)*x^(n+1...
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Answered by Seair Q. • Maths tutor
7120 Views

How many three-digit numbers start with a digit multiple of 3 and can be devided by 2 without a reminder?

Students are often troubled with combinatorics questions. TMost of them have never been given a proper explanation for the formulas for combination, variation, and permutation. In the given problem we are lo...
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Answered by Kristiyan T. • Maths tutor
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