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Sketch the curve y = (x^2 - 9)(x - 2)

When it comes to curve sketching, there are a number of tests that you can do to find out crucial characteristics about the curve. They are following: 1. Setting x = 0 will give you the points at which the c...
DS
Answered by Dan S. • Maths tutor
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Is it important to include opinions of historians in my essays?

Historical opinion - also known as historiography - is essential to essay writing. Including the opinions and arguments of historians shows your awareness of the field. It will impress your examiners if you ...
LH
Answered by Luke H. • History tutor
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Given that 4(cosec x)^2 - (cot x)^2 = k, express sec x in terms of k.

This question makes good use of the trigonometric identities tan 2 x + 1 = sec 2 x and 1 + cot 2 x = cosec 2 x which can be easily recited in the exam by using the identity sin 2 x + cos 2 x = 1 and then div...
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Answered by Dan S. • Maths tutor
13191 Views

Find the gradient of the line 4x+9y=10.

There are two approaches to this problem. Firstly, you could rearrange the equation so that you have the general equation of a line, y=mx+c, where m is the gradient that you are looking for! When we rearrang...
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Answered by Dan S. • Maths tutor
5239 Views

Define the terms "acceleration" and "displacement". Explain simple harmonic motion with reference to both of these quantities.

Firstly, acceleration is the rate of change of velocity of an object, measured in ms -2 (read as metres per second squared, or metres per second per second). It can be either positive, indicating an increase...
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Answered by Hannah O. • Physics tutor
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