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Find the equation of the tangent to the curve y^3 - 4x^2 - 3xy + 25 = 0 at the point (2,-3).

This is an example of implicit differentiation where we have to consider both the y-terms as well as the x-terms. The first step is to deal with each term on the left hand side individually. This gives us...

TJ
Answered by Tanmayi J. Maths tutor
4349 Views

You will have studied a recent earthquake event. To what extent is this location likely to be well prepared for an earthquake in the future? Explain your answer fully using specific detail. 6 marks.

The magnitude 7 earthquake that hit the LEDC central American country of Haiti on the 12th January 2010 is an event that one could argue highlights how the country is not sufficiently prepared for future ...

AC
Answered by Andrew C. Geography tutor
2786 Views

Joan cycles from her house to a shop 900 m away. She then cycles to her friends' house 700 m away. The average speed for the first part of her journey is 2 m/s. The second part takes her 16 mins. What is the average speed for her entire journey?

S: 900 700D: 2 m/sT: 960s
Need to find speed in seconds so convert 16 mins to seconds.
To find average, we must find time for the first part. Using...

AR
Answered by Aisha R. Maths tutor
2691 Views

Differentiate with respect to x: (6x + 7)e^x

Product Rule: dy/dx (uv) = u'v + uv'
Let u = 6x+7 and v = e^x. Using simple disintegartion, u' is 6 and v' is e^x.
Therefore, answer is: 6e^x + (6x +7)e^x

AR
Answered by Aisha R. Maths tutor
3614 Views

How do you write an effective and concise introduction to a history essay in an exam?

The purpose of an introduction is to show the examiner that you: understand the question being asked, can outline the various ways of approaching said question and that you have a clear argument. To do th...

TP
Answered by Toby P. History tutor
4167 Views

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