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At each point P of a curve for which x > 0 the tangent cuts the y-axis at T, and N is the foot of the perpendicular from P to the y-axis. If T is always 1 unit below N and the curve passes through the point (1,0), find the Cartesian equation of the curve.

When faced with a problem like this, it is always a good idea to draw a rough sketch of what might be going on. With the help of a diagram, we notice that PNT is a right angled triangle w...

Answered by Siddharth P. • Maths tutor

2575 Views

What is the difference between POR and PARA

Por and Para are both used to replace words such as 'for' 'by' or 'through'. PorPor is used to talk about movement, modes of transport and communi...

Answered by Jessica May J. • Spanish tutor

1515 Views

How does Priestly use the theme of inspection in An Inspector Calls?

Priestly utilises the theme of inspection in An Inspector Calls to conjure the consciences of the characters and invoke a sense of guilt. Priestly's play centres around the idea of inspection and...

Answered by Megan J. • English tutor

11587 Views

Evaluate the usefulness a knowledge of perfect competition theory in analysing the behaviour of firms. [15]

Perfect competition is the most competitive market structure with many firms holding a small market share and no barriers to entry. There are no pure real-world examples ...

Answered by • Economics tutor

4876 Views

A triangle has sides of length 8 cm, 10 cm and 14 cm. Work out the size of the largest angle of the triangle. Give your answer correct to 1 decimal place.

Utilising the cosine rule: c² = a² + b² - 2abcosC, substitute in the given lengths. We therefore get that 14² = 10² + 8² − 2 × 10 × 8 × cosA . Expanding this expression we then get that 196 = 164 - 160cos...

Answered by Josephine K. • Maths tutor

17022 Views