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64% of an audience are female. Work out the ratio females : males Give your answer in its simplest form.

64% are female. This 64% out of 100%. 36% are male So the ratio is 64 : 36 or 32 : 18 Can then be simplified to 16 : 9
JQ
Answered by Jordan Q. • Maths tutor
4040 Views

Use chain rule and implicit differentiation to find dy/dx for y^3 = 1 + 3*x^2, then show that they are equal

When using the Chain Rule, it is best to put our equal in a form where there are no operations performed on the subject. i.e. y = (1 + 3*x 2 ) 1/3 Then to help make it clear what we need to do, state the rul...
JP
Answered by Joshua P. • Maths tutor
9682 Views

A cuboid of height 5 cm has a base of side 'a' cm. The longest diagonal of the cuboid is 'L' cm. Show that 'a' = SQRT[ (L^2 - 25)/2]

A cuboid is made of squares and rectangles, with the diagonal 'L' connecting opposite corners of the 2 square faces. As the cuboids corners are all right angles, all the diagonals form right angled triangles...
JP
Answered by Joshua P. • Maths tutor
5374 Views

How do I simplify (1 / [1 + cos(x) ] ) + (1 / [1 - cos(x) ] )?

In order to add the fractions together, we must have a common denominator of the fractions. The simplest way to do this is to make the denominators of the equations the product of the original two denomniato...
SC
Answered by Simon C. • Maths tutor
15056 Views

A curve has the equation: x^4 + 2x -xy - y^3 - 10=0. Find dy/dx in terms of x and y.

We need to differentiate all values with respect to x. Therefore for the first two terms, multiply by the power and then subtract 1 from the original power. Therefore 4(x 4-1 ) + (2)(2x 2-1 ) which gives 4x ...
JG
Answered by John G. • Maths tutor
6633 Views