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Consider the function f (x) = (2/3) x^3 + bx^2 + 2x + 3, where b is some undetermined coefficient: (a) find f'(x) and f''(x) and (b) if you know that f(x) has a stationary point at x = 2, use this information to find b.

(a) We have f(x)=(2/3)x3+ bx2 + 2x +3. First we have to solve for f'(x)=(dy/dx)f(x) which gives:f'(x) = [(32)/3]x2 + 2bx + 2 <=> f'(x)=2x2+ 2bx + 2 Fr...

Answered by Maths tutor
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Show that x^2+6x+11 can be written in as (x+p)^2+q, where p and q are integers to be found.

To start, we need to complete the square of the equation. To do this, we divide the coefficient of x by 2. Here, 6/2=3. We then find (x+3)^2, which gives us the first part of the equation we want to expre...

HE
Answered by Hannelore E. Maths tutor
9758 Views

¿Qué es la manera mejor para mejorar mi español?

La única manera para mejorar cualquiera lengua es en practicar. No es posible aprender un idioma nuevo sin practicar pero por supuesto hay maneras para hacerlo en una manera más eficaz. Hay una necesidad ...

Answered by Spanish tutor
2251 Views

How should I structure my essays on a seen text?

A structure is not always needed for English essays but it could help you to make sure you are hitting all the AOs that examiners are looking for. A basic structure is an introduction (where you signpost ...

Answered by English Literature tutor
3330 Views

In what way is Victorian thinking reflecting in Thomas Hardy's 'Nature's Questioning'?

In the poem ‘Nature’s Questioning’, Thomas Hardy’s intrinsic and subjective relationship with nature causes him to look to the natural world as a mouthpiece for questions that challenged Victorian thinkin...

RH
Answered by Ria H. English tutor
8990 Views

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