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Maths
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How can I derive an equation to find the sum of an arithmetic sequence?

This isn't a requirement of many courses but understanding and proving mathematics has order is what makes mathematics unique and enjoyable to many.
Imagine the sum of a seque...

RH
Answered by Rhys H. Maths tutor
4581 Views

If (2/3)^n=〖(3/2)〗^2 what is the value of n

Reciprocal is when you interchange the numerator (the number on top in a fraction) with the denominator (the number at the bottom in a fraction). The numerator, is now the denominator and the denominat...

GW
Answered by Gift W. Maths tutor
15401 Views

A quarter circle represents a piece of land. The length of the straight sides is 100 ft each. If the land is enclosed by a fence, what is closest to the length, in feet, of the fence?

Perimeter of a quarter circle = (2πr)/4

r = 100ft

P = (2πr)/4 = (2×3.14×100)/4 = 157

Because we are calculating the length of the fence – as the fence goes aro...

GW
Answered by Gift W. Maths tutor
7152 Views

How to integrate by parts

Sometimes while integrating, we may come across an expression that is not a polynomial, and thus we cannot use the convenient power rule to integrate. Consider the function y=xcos(x). It is not immedia...

DL
Answered by Dennis L. Maths tutor
4570 Views

Differentiate y = 4ln(x)x^2

So we want to differentiate y =  4x2ln(x) with respect to y. For this we need to use the product rule.

The product rule is D {f(x)g(x)} = f(x)g'(x) + g'(x)f(x)

We...

BP
Answered by Beth P. Maths tutor
6810 Views

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