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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

2117 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

2833 Views

What are the possible human causes of climate change?

Arguably, the primary anthropogenic cause of climate change is the use of fossil fuels, which emit greenhouse gases. These gases can act negatively in the atmosphere by creating a 'blanket Earth' where ra...

Answered by Annalisa H. • Geography tutor

1935 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

3200 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

5402 Views