Top answers

Find the exact gradient of the curve y=ln(1-cos2x) at the point with x-coordinate π/6

This is a past paper question for an A level OCR MEI paper for Maths.We need to find the gradient of the curve so we know right away that we need to use differentiation.The equation y = ln(1-cos2x) is diffic...
CH
Answered by Catherine H. • Maths tutor
14734 Views

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 sequence with n terms, denoted S n , ...
RH
Answered by Rhys H. • Maths tutor
5066 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 denominator is ...
GW
Answered by Gift W. • Maths tutor
15994 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 around the land – for the two straight sides - the ...
GW
Answered by Gift W. • Maths tutor
7607 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 immediately c...
DL
Answered by Dennis L. • Maths tutor
5003 Views