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Maths
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What is Standard form? And when can I use it?

Standard form, also referred to as standard index form is a method of writing really big and really small numbers. It uses powers of 10 to express its size.Standard form is used all the time in science an...

CL
Answered by Ceri L. Maths tutor
25858 Views

The number of uniform spherical shots that can be made from a given mass of lead varies inversely to the cube of the radius. When the radius is 1mm the number of shots made is 2744. How many shots of radius 1.4mm can be made from the same mass.

The key to long questions like these is picking out the key information quickly.
We have 2 pieces of information we are interested in, the number of shots and the radius of each shot, so let's assign...

JJ
Answered by Joshua J. Maths tutor
4708 Views

How do I solve equations with unknowns in the denominators?

Suppose you have an equation: (2x+3)/(x-4) - (2x-8)/(2x+1) = 1 and you want to solve for x.

Remember that you can only add fractions if they share a common denominator. Also that you can ...

SG
Answered by Seb G. Maths tutor
24164 Views

How do I evaluate composite functions?

Suppose you have 2 functions: f(x) = 3x2, g(x) = log3(x). These are arbitrary, any functions would work. Evaluate f(g(x)): let y = log3(x) ( = g(x) ), then f(g(x)) = f(...

SG
Answered by Seb G. Maths tutor
4517 Views

How do I differentiate implicitly?

The most important thing to remember when differentiating implicitly is that y is a function of x. Rewriting y as y(x) often makes it much clearer. For example, evaluate d/dx (y2): using the...

SG
Answered by Seb G. Maths tutor
4828 Views

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