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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 a V-I cadence?

A V-I cadence is a perfect cadence or a cadence that sounds finished. Many works finish with a perfect cadence. If you're in the key of C major you count the fifth note in the scale which is a G and creat...

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Factorise x^2 + 10x + 24

First, we need to find two numbers which add together to make 10 such as 2 and 8, 6 and 4 or 7 and 3, listing these combinations. Next, we need to do the same but finding combinations of numbers which mul...

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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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Could you please explain an example of neuroplasticity?

Neuroplasticity, which is the brains ability to change continuously throughout a persons life was studied by Maguire et al (2000). The researchers wanted to determine whether differences in the brain anat...

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Answered by Marina G. Psychology tutor
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