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The curve C has the equation y = 1/2x^3 - 9x^3/2 + 8/x + 30, find dy/dx. Show that point P(4, -8) lies on C

y = 1/2x^3 - 9x^3/2 + 8/x + 30y = 1/2x^3 - 9x^3/2 + 8x-1 + 30dy/dx = 3/2x^2 - 27/2x^1/2 - 8x^-2 + 0dy/dx = 3/2x^2 - 27/2x^1/2 - 8/x^2substitute x=4 into equation for yy = 1/2(4)^3 - 9(4)^3 + 8/4 +30y = 32...

Answered by Maths tutor
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What is the process of synaptic transmission?

The process of synaptic transmission can be broken down into steps. First, the action potential (electrical energy) arrives at the axon terminal of the pre-synaptic neuron. This triggers the vesicles in t...

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How do we know which formulas we need to learn for the exam?

When learning new content, I know it is really intimidating seeing how many new formulas and equations are needed to answer questions, however I also know how easy it is to get on top of it all! My main p...

Answered by Maths tutor
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Explain the differences between procedural memory and episodic memory.

  1. Procedural memory concerns motor skills and actions, such as riding a bike. Episodic memory concerns life events, such as a birthday party. 2. Procedural memory is non-declarative, meaning it is dif...
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Outline THREE reasons for gender differences in educational achievement.

One reason for gender differences in educational achievement is the impact of feminism. Feminism has encouraged girls ambition and widened their perceived life choices thus encouraging female achievement ...

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Answered by Pandora M. Sociology tutor
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