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A curve C has equation y = x^2 − 2x − 24 x^(1/2), x > 0 (a) Find (i) dy/d x (ii) d^2y/dx^2 (b) Verify that C has a stationary point when x = 4 (c) Determine the nature of this stationary point, giving a reason for your answer.

(a) i) dy/dx= 2x-2-12x-1/2ii) d2 y/dx2 = 2+6x-3/2(b) Substitute x=4 into dy/dx= 2x-2-12x-1/2 Show that dy/dx= 0 and state 'hence there is a stationar...

Answered by Maths tutor
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Work out the cube root of (64x1000).

We are asked to calculate (64x1000)1/3. We can use the laws of indices to write that expression as 641/3x10001/3, which is easier to evaluate. To work out 641/3...

Answered by Martin P. Maths tutor
5264 Views

What was the most significant reason for the success of the First Crusade?

On July 15th 1099 Jerusalem, recently captured by the Fatimids of the Egyptian Sultan, Al-Musta'li, fell to the crusaders. With their victory, three years of campaign came to a victorious end; the assuran...

Answered by Gareth C. History tutor
2689 Views

Describe the Cognitive Interview. (6 marks).

The cognitive interview is an interview technique used in order to aid memory and improve accuracy of eye witness statements. The interview consists of four aspects: 'recall everything', 'reverse the orde...

Answered by Psychology tutor
45847 Views

Explain the process of DNA Replication

DNA replication is semi-conservative; new DNA molecule is composed of 1 old strand of DNA and 1 new strand .Many enzymes are involved in this process. The action of these can be combined into a 7 step pro...

Answered by Barbora H. Biology tutor
1384 Views

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