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Find the coordinates of the stationary point of the graph y = 3x^2 - 12x

Firstly, we need to differentiate the equation to find an equation for the gradient of the line.dy/dx = 6x-12We know the original graph was quadratic, and therefore only has one stationary point. This is ...

Answered by Jack M. • Maths tutor

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With the aid of a diagram describe the events occurring in the neurone leading to the establishment of an action potential

Voltage-gated Na⁺channels and Voltage-gated K⁺ channels are closed at rest, Once a stimulus is applied, the neurotransmitters activate chemically-gated (CG) channels within the cell...

Answered by Olga Y. • Biology tutor

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Find the Taylor Series expansion of tan(x) about π/4 up to the term in terms of (x-π/4)^3.

Firstly, set f(x) = tan(x). We can then differentiate this 3 times in order to find f'(x), f''(x) and f'''(x). This will require use of the chain rule and the product rule. We can find:f'(x) = sec²

Answered by Jack M. • Further Mathematics tutor

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w and x are whole numbers. w >40, x<30. Work out the smallest possible value of w-x.

To get the smallest value of w-x we will need the smallest value of w and the largest value of x.Our smallest possible value of w=41.Our largest possible value of x=29.So the smallest value of w-x = 41-29...

Answered by Esme G. • Maths tutor

15240 Views

How do you work out the tangent to a circle at a given point on the circle?

(Suppose the coordinates of the point on the circle is (2, 3))To calculate the tangents equation we will first work out it's gradient. The tangent to a circle at a point is perpendicular to the radius of ...

Answered by James H. • Maths tutor

15290 Views