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How do I decide whether to use the perfect or the imperfect tense?

The perfect and imperfect tenses are both used to describe a past tense in French. The imperfect tense is often a more descriptive tense and is used to set the scene and 'frame' the more punctual perfect ...

DW
Answered by Daniel W. French tutor
5673 Views

The finite region bounded by the x-axis, the curve with equation y = 2e^2x , the y-axis and the line x = 1 is rotated through one complete revolution about the x-axis to form a uniform solid. Show that the volume of the solid is 2π(e^2 – 1)

The volume of revolution, V, is given as 2π∫ydx Substituting in the equation and limits gives as follows: V = 2π∫2e^2x dx between 0 and 1 Integrating this gives V = 2π[e^2x] between 0 and 1 Applying the ...

MC
7509 Views

Edexcel C1 2015 Q10. A curve with equation y = f (x) passes through the point (4, 9). Given that f′(x)=3x^(1/2)-9/(4x^(1/2))+2. Find f(x), giving each term in its simplest form.

I would go through a similar example of integration with the student using the whiteboard and would explain the use of integration, and would then get them to do the above question, giving them hints when...

IA
Answered by Issy A. Maths tutor
10508 Views

Define the term "Gravitational Potential" and write down a formula which defines it.

The Gravitational Potential is the work done in moving a unit mass (1kg) from an infinite distance to a point in a radial gravitational field. The Gravitational Potential is defined as being zero an infin...

JB
Answered by Jay B. Physics tutor
4208 Views

Solve the differential equation dy/dx = y/x(x + 1) , given that when x = 1, y = 1. Your answer should express y explicitly in terms of x.

Rearrange differential equation to get 1/x(x+1) dx = 1/y dy. Separate x side into partial fractions where 1/x(x+1) = 1/x - 1/(x+1). Integrate each side. Resulting equation involves natural logs. Substitut...

AT
Answered by Alexander T. Maths tutor
17104 Views

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