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Simplify \sqrt{98} - \sqrt{32} giving your answer in the form k*sqrt{2} where k is an integer

Let's begin with the basics, before we begin we should be able to answer what is a surd? and What rules do we need?\begin{equation}...\end{equation}Answer: 3*sqrt{2}

CV
Answered by Corey V. Maths tutor
2885 Views

A triangle has the following dimensions: 5 km, 12 km and 13 m. Is it a right triangle?

Step one: convert all dimensions to the same units 1km = 1000m therefore 5km = 5000m12km = 12,000mStep two: recall that Pythagoras theorem is used for right angle triangl...

TS
Answered by Tayeba S. Maths tutor
4222 Views

How do I find the limit of a sequence that is expressed as a fraction?

There are a number of ways of looking at the limiting behaviour of a fraction. Let’s look at three examples:1) a(n) = 2n+1/7n —> divide into two separate terms, that both clearly converge. 2) b(n) = 2/...

ZS
Answered by Zayn S. Maths tutor
3082 Views

What is the chain rule?

The chain rule is a rule that is used when calculating the derivative of a function. If you have a function within a function, i.e. f(g(x)), then the derivative is calculated as follows: df/dx = (df/dg)

AK
Answered by Arjun K. Maths tutor
3240 Views

What is the equation of the tangent at the point (2,1) of the curve with equation x^2 + 3x + 4.

dy/dx = 2x + 3, m = dy/dx = 7 Equation of tangent is a straight line hence we use y-y1 = m(x-x1), y-1 = 7(x - 2), y = 7x - 13

BA
Answered by Bishr A. Maths tutor
3528 Views

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