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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
7043 Views

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
13160 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...
DS
Answered by Dan S. • Maths tutor
5176 Views

Exponential Growth Equations

The number of bacteria on Agar plate A is given by the equation n=400(2^d), where d is equal to the number of cellular divisons each cell has undergone. If the cells divides every 2 minutes, how many seconds...
JS
Answered by John S. • Maths tutor
4205 Views

What is the equation of the curve that has gradient dy/dx=(4x-5) and passes through the point (3,7)?

To answer this question, we must use our knowledge of integration and differentiation. First, we look at the information given to us. We have been told that the gradient of the curve is given by dy/dx=(4x-5)...
LB
Answered by Lara B. • Maths tutor
11812 Views