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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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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
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What is the second derivative used for?

First of all, "second derivative", d 2 y/dx 2 , is what you get when you differentiate the first derivative (dy/dx). The second derivative can be used as an easier way of determining the stationary...
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The shortest side of a triangle is 4.3m long. Two of the angles are 45.1 and 51.2 degrees respectively. Find the length of the longest side.

To begin we calculate the third unknown angle in the triangle by taking the two known angles (45.1 and 51.2) away from 180 degrees (remember the interior angles of a triangle sum to 180). We find this angle ...
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Answered by Adam J. • Maths tutor
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