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Chris claims that, “for any given value of x , the gradient of the curve y=2x^3 +6x^2 - 12x +3 is always greater than the gradient of the curve y=1+60x−6x^2” . Show that Chris is wrong by finding all the values of x for which his claim is not true.

(Question from AQA A level maths specimen papers) When looking at this question, you need to appreciate the steps required in order to reach the final answer before diving straight in. Firstly, the questi...

Answered by Michael N. • Maths tutor

8768 Views

Solve the simultaneous equations 2x−3y=12 and 3x + 4y = 8

To solve this question we will first have to think of how we can solve something with two variables. The most common method is through elimination where we remove a variable so then we have an expression ...

Answered by David S. • Maths tutor

6315 Views

Explain how this text reflects the audiences and purposes for which it was intended.

Audience

Observe the tone that is used in the text (formal, informal, helpful, poetic)
Where does the text come from? The type of publication wil...

Answered by Kannen R. • English tutor

1839 Views

Express (5sqrt(3)-6)/(2sqrt(3)+3) in the form m+nsqrt(3) where m and n are integers. [Core 1]

Step 1: multiply (5sqrt(3)-6)/(2sqrt(3)+3) by (2sqrt(3)-3)/(2sqrt(3)-3) (this is a trick called CONJUGATION as you're really just multiplying the fraction by 1. Step 2: Expand and ...

Answered by Mahir Y. • Maths tutor

3954 Views

What's the best way to assess a source written by a historian in an exam?

It's really important that in an exam situation you read the sources very carefully; it's far too tempting to race through and miss what the historian is trying to say. When the exam starts, put your pen ...

Answered by Rachel C. • History tutor

3389 Views