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The straight line with equation y = 3x – 7 does not cross or touch the curve with equation y = 2px^2 – 6px + 4p, where p is a constant. Show that 4p^2 – 20p + 9 < 0.

The main piece of information this question gives us is that the two lines do not cross or touch. From this we can immediately see that we will need to use the discriminant of the quadratic formula b 2 - 4ac...
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Answered by Molly W. • Maths tutor
27742 Views

How does the case taken affect the meaning of the same preposition, and how can I spot when I need to alter the case? h

Unfortunately, there are no hard and set rules that govern the meaning but there are certain patterns which would help in cases of unceratinty. There are a set of prepositions in German which can take both t...
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Answered by Delyan Y. • German tutor
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What is terminal velocity and what causes it?

Initially, when you drop an object the only force acting on it is gravity. This accelerates the object towards the ground. As the objects speed increases so does the force of air resitance acting on the obje...
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Answered by Calum L. • Physics tutor
2598 Views

What should I do if reach a standstill in my project

This is nothing to worry about and it happens to the best of us. Whenever I got stuck on where to go next on my projects I found it best to look at the work of artists with a similar style. By analysing thei...
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Answered by Calum L. • Art tutor
2841 Views

Let f(x) = 2x^3 + x^2 - 5x + c. Given that f(1) = 0 find the values of c.

In order to solve this question we simply must substitute x=1 into f(x). If we carry out this substitution we see that f(1) = 2(1^3) + (1^3) -5(1) + c = 2(1) + (1) -5(1) + c = 2 + 1 - 5 + c = 3 - 5 + c = c -...
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Answered by Calum L. • Maths tutor
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