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Factorise 6x^2 + 7x + 2

6x^2 + 7x + 2 can be written in the form ax^2 + bx + c. In order to factorise this I use the following method which can be used to factorise similar equations. Multiply 'a' and 'c' to get ac (here this is 6 ...
HP
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Prove the trigonometric identity tan^2(x)+1=sec^2(x)

We can start with the identity sin 2 (x)+cos 2 (x)=1 If we divide through the equation by cos 2 (x), we get: sin 2 (x)/cos 2 (x) + cos 2 (x)/cos 2 (x) = 1/cos 2 (x) If we look at the left hand side of the eq...
CW
Answered by Charlotte W. • Maths tutor
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Find the equation of the tangent to the curve y = 2x^2 + x - 1 at the point where x = 1.

To get the required tangent equation we need its gradient and the coordinates of a point it passes through. We can then substitute it into the formula y - y 1 = m(x - x 1 ). 1. Finding the gradient: To find ...
BT
Answered by Beth T. • Maths tutor
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What is the difference between a direct and an indirect object pronoun?

A direct object pronoun means the object (the person or thing that the verb is happening to) receives the action of a verb directly WITH NO PREPOSITION between the verb and the pronoun- in other words, the p...
LM
Answered by Lauren M. • French tutor
4052 Views

When do you know to use integration by parts?

You use integration by parts if there's more than one function of x. For example; to integrate x sin(x) you'd use integration by parts as this is two functions of x. The formula to remember is I(udv) = uv - ...
NL
Answered by Natasha L. • Maths tutor
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