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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 ...

Answered by Michael C. • Further Mathematics tutor

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Creating string from multiple strings(or characters)

In Python it is possible to add two strings or characters by using + sign string_a = "" for i in range(10): string_a += str(i) Now string_a would have "0123456789" value. If you add on...

Answered by Dominykas S. • Python tutor

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Explain how the human body maintains blood glucose levels within a narrow range

As part of homeostasis, it is vital for the human body to maintain blood glucose levels within a narrow range. The 2 main hormones involved are insulin, when glucose levels are too high, and glucagon, whe...

Answered by Sally H. • Biology tutor

11767 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...

Answered by Issy A. • Maths tutor

9720 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...

Answered by Jay B. • Physics tutor

3740 Views