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Is the function f(x)=x^3+24x+3 an increasing or decreasing function?

f(x)=x^3 +24x+3 f'(x)=3x2+24 Since x^2>0 for all real x 3x^2+24>0 So f(x) is an increasing function

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Answered by Danni M. Maths tutor
4333 Views

How to factorise 6x^2-11x-10?

Firstly, when we need to factorise an expression like ax2 + bx + c, we should find two numbers m and n such that mn = ac and m+n = b. In this question, a = 6, b = -11, c = -10. So mn = -60 and ...

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Answered by Yunxi S. Maths tutor
17655 Views

Given that a light ray enters a glass prism at angle of 50 degrees from the normal and is refracted to an angle of 30 degrees from the normal, calculate the speed of light in glass.

Answer: 1.96108ms-1.Snell's law tells us that n1sin(x1)= n2 sin(x2) where x is the angle of a light ray from the normal. Air can be as...

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Answered by Charlie H. Physics tutor
3280 Views

How can I maximise my performance and efficiency in an exam?

Confidence in your mathematical ability and subsequent answers in an exam is key. During an exam you should be confident with the answers that you are giving which can be achieved with steady revision and...

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Answered by James S. Maths tutor
3536 Views

'A sterile interlude'. How valid is this judgement on the reign on Mary I?

The 20th century scholar A. F. Pollard used the term 'sterile interlude' to describe Mary Tudor's reign. Pollard's thesis specifically meant that Mary's reign was an unproductive interruption to a Protest...

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Answered by Liam L. History tutor
7157 Views

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