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The curve C has equation f(x) = 4(x^1.5) + 48/(x^0.5) - 8^0.5 for x > 0. (a) Find the exact coordinates of the stationary point of C. (b) Determine whether the stationary point is a maximum or minimum.

Part a:f(x) = 4x1.5 + 48x-0.5 - 80.5Finding the gradient function, f'(x) = 6x0.5 - 24x-1.5At the stationary point, the gradient is zero, so f'(x) = 0...

SP
2602 Views

A curve has equation y = 20x −x2 −2x3 . (A) Find the x-coordinates of the stationary points of the curve.

Firstly, differentiate the equation to find dy/dx.
dy/dx = 20 - 2x - 6x2
As dy/dx represents the gradient, we know that for a stationary point the gradient must be zero, hence for the...

BW
Answered by Bradley W. Maths tutor
5446 Views

Show that (x + 1)(x + 2)(x + 3) can be written in the form ax3 + bx2 + cx + d where a, b, c and d are positive integers.

lets expand the first two brackets first, so x * x gives x2, x * 2 gives 2x, x * 1 gives x and 1 * 2 = 2. 2x and x are both in terms of x so we add these together to get 3x, giving us the quadr...

AC
Answered by Annunzia C. Maths tutor
26498 Views

How is the theme of dreams abd reality represented in The Great Gatsby

It is key that within this essay the main focus is upon who is the dreamer and who is the realist. The character of Gatsby is one that would initially appear as a dreamer; his life-long strive for money a...

NS
Answered by Nanija S. English tutor
1573 Views

Décrivez-vous en incluant votre famille, votre école et vos hobbies.

Je m'appelle Morgane et j'ai 21 ans. J'habite à Bath pour mes études de Management après avoir passé une année à travailler dans le centre de Londres, à Blackfriars. Moitié française, moitié anglaise - c'...

MP
Answered by Morgane P. French tutor
3141 Views

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