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What is the gradient of this curve y=5x^3+6x^2+7x+8 at point x=3?

When differentiating an equation (y) you find the equation of the gradient, called dy/dx. The rule for differentiating a power of x is given below:y=x^n dy/dx= nx^(n-1)Applying this rule to this question you...
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Answered by Tutor179115 D. • Maths tutor
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Explain how price and output are determined in both the short run and long run in a monopolistically competitive market (15 marks)

Firstly define some features of monopolistically competitive market including: differentiated products, some influence over price, good information, no barriers to entry or exit, manyproducers and consumersD...
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Answered by Emma P. • Economics tutor
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Two pendulums consist of a massless rigid rod of equal length attached to a small sphere of equal radius, with one sphere hollow for one pendulum and the other solid. Each pendulum undergoes damped SHM. Which pendulum has the largest time period?

This question requires a qualitative answer seeing as we do not have an expression for the time period of a pendulum undergoing damped SHM. This is what the examiners will be expecting.There are a few differ...
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Answered by Callum G. • Physics tutor
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A curve has an equation y=3x-2x^2-x^3. Find the x-coordinate(s) of the stationary point(s) of the curve.

The very first step in solving this problem is understanding that a stationary point is where the derivative of the curve, dy/dx (or in Newton’s notation y’), is equal to zero. This is because at stationary ...
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Answered by Callum G. • Maths tutor
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‘Lloyd George created a ‘land fit for heroes’ in the years immediately following WWI’ To what extent do you agree with this statement?

One of the main aims of Lloyd George’s post war coalition government was to create a ‘land fit forheroes’; a Britain that troops coming back from the war could be proud of as a reward for and demonstrationof...
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Answered by Jessica P. • History tutor
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