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The line y = (a^2)x and the curve y = x(b − x)^2, where 0<a<b , intersect at the origin O and at points P and Q. Find the coordinates of P and Q, where P<Q, and sketch the line and the curve on the same axes. Find the tangent at the point P.

Firstly, for the points of intersection we need to equate the two expressions for y. Since we know that they intersect at the origin, we can immediately cancel the x values and then solve the quadratic fo...

Answered by Josh B. • Maths tutor

6375 Views

Explain the consequences of using high levels of nitrogenous fertilisers

Eutrophication is the process of artificially increasing the mineral content of water as a result of nitrogen-containing fertilisers, especially nitrates, leaching from agricultural land. The nitrates and...

Answered by Jessica W. • Biology tutor

2195 Views

Explain how Edmund Gettier revised the tripartite theory of knowledge.

The tripartite definition of knowledge states that knowledge is justified true belief. That is, for an individual, A, to be able to claim that she knows that p is true, p must be true, A...

Answered by Angelos S. • Philosophy tutor

7572 Views

Use completing the square to find the minimum of y = x^2 - 4x + 8

Remember completing the square gives a result of the form (x+q)² + p where q and p are numbers
Also q is always half of the x term, which in this case is -4, as such q = -2
Substituti...

Answered by Sol D. • Maths tutor

2933 Views

What is an atom?

Atoms are the smallest particle of matter that cannot be divided and have a nucleus which contains protons and neutrons with electrons surrounding it in energy levels.

Answered by Shazna B. • Chemistry tutor

2313 Views