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A rectangular hyperbola has parametric equations x = 4t, y = 4/t , (z non 0). Points P and Q on this hyperbola have parameters t = 1/4 and t = 2. Find the equation of the line l which passes through the origin and is perpendicular to the line PQ.

Since we are told that the line l is perpendicular to the line PQ, we first need to find out the gradient of PQ.
To do this, it is easiest to find out the co-ordinates of points P and Q in terms of...

Answered by Zelie E. • Further Mathematics tutor

2533 Views

How can I improve my grade when writing a psychology essay?

One of the first things you can do before even trying to start an essay is looking at the marking criteria to see what the marker wants from you and what your essay needs to show. For example, in an AQA m...

Answered by Kelly L. • Psychology tutor

3625 Views

A curve has the equation: x^3 - x - y^3 - 20 = 0. Find dy/dx in terms of x and y.

x³ - x - y³ - 20 = 0 Find dy/dx. Differentiate with respect to x.
3x² - 1 - 3y²(dy/dx) = 0Therefore: dy/dx = (3x

Answered by Karishma P. • Maths tutor

3578 Views

How does increasing/decreasing temperature affect the equilibrium position of the following reaction: CuSO4.5H2O(s) ⇌ CuSO4(s) + H2O(l) ?

The endothermic and exothermic reactions should be identified. Note: if the forward reaction is endothermic, the reverse reaction will be exothermic with the same ΔH but opposite values.In this example: t...

Answered by Ayesha G. • Chemistry tutor

6315 Views

To what extent is Marlowe's Doctor Faustus a character who gets what he deserves?

In keeping with the structure of the traditional Aristotelian tragedy, throughout ‘Doctor Faustus’, Marlowe presents the eponymous protagonist as a character afflicted by a fatal flaw (hamartia), facilita...

Answered by Sam A. • English Literature tutor

8819 Views