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2476 people are at a football match. The ratio of men to women is 3 : 1. How many more men than women are at the match?

Ratios are a way of comparing the amount of two things in a whole. In this case we are comparing the number of men and women in a football match, so, the total number of people at the match is equal to the s...
EB
Answered by Emma B. • Maths tutor
10606 Views

Let f(x)=x^3-6x+3. i)Differentiate f(x) to find dy/dx. ii) Given that dy/dx = 12, find the value of x.

For part i) we use the basic method of differentiation by considering each term individually. The first term, x 3 goes to 3x 2 by multiplying the original term by the original power, by 3, and then subtracti...
SH
Answered by Samuel H. • Maths tutor
5434 Views

Simplify : 3a(b^2) * (a^3)b

Rearrange the terms and group: Numbers: (3*1) =3, a variables: a * (a^3) --> (1+3=4) Therefore (a^4); b variables: (b^2)*b --> (2+1=3) Therefore (b^3); Regroup: 3(a^4)(b^3)
SH
Answered by Sharleen H. • Maths tutor
4821 Views

How would I use implicit differentiation to differentiate functions such as: y=tan^-1(ax^2+b) in the form of dy/dx=.....?

First you must write the function in terms on something you know how to differentiate, for example... by taking tan (..) of both sides the equation becomes, tan(y)= ax 2 +b. We then use implicit differentiat...
CS
Answered by Charles S. • Maths tutor
6299 Views

A curve has parametric equations x=2t, y=t^2. Find the Cartesian equation of the curve.

x=2t --> t= x/2 y=t 2 = (x/2) 2 . So the Cartesian equation is y=x 2 /4.
KW
Answered by Katarzyna W. • Maths tutor
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