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Find the equation of the straight line tangent to the curve y=2x^3+3x^2-4x+7, at the point x=-2.

We are looking for a straight line, so it needs the form y=mx+c. To find our gradient, m, we need the gradient of the curve at the point x=-2, so differentiate the equation: dy/dx=6x 2 +6x-4, and solve at x=...
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Answered by James B. • Maths tutor
6670 Views

When do you use integration by parts?

The formula for integration by parts is Integral(u dv/dx)dx = uv - Integral(v du/dx)dx You use integration by parts when you have an integral where you have to terms multiplied together ie Integral(u*dv/dx)d...
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Answered by Alex B. • Maths tutor
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Describe the ventilation mechanism in fish

The buccal cavity of the fish opens and the buccal floor moves downwards. This creates a larger volume in the buccal cavity causing pressure to fall relative to the pressure in the external environment. Wate...
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Answered by Victoria A. • Biology tutor
16007 Views

How should I structure my Oxbrige personal statement?

Personal statements for Oxbridge applicants are slightly different to other universities, as they need to show your academic interest in your subject, what you have done to further this interest and why you ...
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'Assess the importance of presidential debates' (15 marks)

One reason that presidential debates are important is because they help voters learn about candidates, and subsequently how to vote. For many, these debates are what they reply upon when deciding how to vote...
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Answered by Niamh W. • Politics tutor
6627 Views