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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
3438 Views

How does blood flow through the heart?

(First would talk through the structure of the heart using a diagram).
Deoxygenated (lacking oxygen) blood from the body arrives into the heart via the vena cava. This empties into the right atrium a...

KM
Answered by Kieran M. Biology tutor
2835 Views

x^2 - y = 14, y - 2 = 6x, solve these equations simultaneously

Make y the sbject of the second eqautiom y=6x+2. substitute this for the y in the first equation.the first equation now looks like x2 -(6x+2)=14. Open the brackets and subtract 14 from both si...

JP
Answered by Jai P. Maths tutor
3254 Views

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
9684 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
2222 Views

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