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How do you find the equation of a tangent to a curve at a particular point?

Imagine being given the equation y=x 3 -2x+3, and being asked to find the tangent to the curve at the point where x=1. The tangent to the curve will be a straight line, and therefore will take the form y=mx+...
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Answered by Jonathan D. • Maths tutor
69943 Views

Comment on this section of text (Aeneid XII lines 742-765). How is Turnus portrayed, particularly in light of his imminent final battle?

The change of scene indicated by ‘ergo’ marks not only a shift in action as Turnus flees from Aeneas upon the shattering of his sword, but a significant shift from boldness to panic (‘amens’). The particular...
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Answered by Callum M. • Latin tutor
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Describe the structure of DNA

DNA is the molecule within cells that contains genetic information, in the form of a sequence of bases that form a code that makes up a protein. DNA is a polymer, meaning that it is a macromolecule (large mo...
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Answered by Emma H. • Biology tutor
40466 Views

If a car is travelling over a curved hill, what is the maximum speed it can travel before losing contact with the road surface?

This is a question about circular motion that also includes some knowledge of Newton's laws. The car is travelling over a curved surface, which you can imagine as part of the circumference of a circle. In or...
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Answered by Emma H. • Physics tutor
59561 Views

What is the maximum height a pole vaulter could reach?

Whilst at first this question looks difficult, once broken down it becomes quite easy. It is a simple case of energy exchange. The pole vaulter gives themselve kinetic energy as they aproach the bar, and tur...
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Answered by Tim B. • Physics tutor
17495 Views