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The curve C has polar equation 'r = 3a(1 + cos(x)). The tangent to C at point A is parallel to the initial line. Find the co-ordinates of A. 0<x<pi

Tangent is parallel, therefore (dy/dx)=0.

Find y:

y = r sin(x) = 3a(1 + cos(x))(sin(x))

Differentiate y with respect to x

dy/dx = 3a[(2cos(x) - 1...

SS
6477 Views

What characteristics might a perfectly competitive market have? Choose 3 (6 marks)

The first characteristic is that the products are homogenous, meaning there is little difference between the quality of the goods being sold by the individual firms.

The second characteri...

SS
Answered by Salah S. Economics tutor
2704 Views

A sound wave has a frequency of 500 Hz. The sound wave has a wavelength of 0.34 m in air. Calculate the speed of the sound wave in air?

As we know so far, c = f / λ. This equation comes from a much simpler version of speed = distance/ time. As the λ  (with units "m") can be seen as distance and the frequency (with units "...

RA
Answered by Reni A. Physics tutor
16269 Views

Describe chemical test/s you could use to determine the identity of a carbonyl compound.

Use Brady's Reagent (2,4-DNPH) to test for the presence of the C=O bond in a carbonyl compound. The formation of a yellow precipitate indicates a positive test result. Then determine the melting point ...

MB
Answered by Megan B. Chemistry tutor
6610 Views

When should you use the passé simple instead of the imparfait?/Quand devrais-tu utiliser le passé simple à la place de l'imparfait?

The passé simple is used to describe an action that belongs exclusively in the past and was not a habit, as in it happened only once in the past; whereas the imparfait is used to decribe an action that...

AB
Answered by Arthur B. French tutor
2700 Views

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