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By using the substitution, x = 2sin(y) find the exact value of integral sqrt(1/3(4-x^2)) dx with limits 0 and 1.

In order to calculate this integral we must use the sustitution provided. x=2siny. Firtsly I will differentiate to find the dx component of the integral, so dx/dy=2cosy hence, dx=2cosydy. Now for the limits ...
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Answered by Sara S. • Maths tutor
6423 Views

Show that the line y = x - 7 does not meet the circle (x + 2)^2 + y^2 = 33.

To find potential points of intersection between the line and the circle, we need to solve the equations simultaneously. So, we substitute y = x - 7 into the equation of the circle: (x + 2) 2 + y 2 = 33 (x +...
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Answered by Anastasios I. • Maths tutor
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How do I analyse the form and structure of a poem?

The form and structure is a critical aspect of any poem, but one which students typically find hard to analyse in a way which is relevant to the question asked. However to ignore this aspect of poetry in an ...
LS
13697 Views

Explain how Bronte presents Jane as a strong character in Jane Eyre

Bronte presents Jane as a strong character in the opening chapters of Jane Eyre; the abuse that she experiences as a child foregrounds the readers expectations of her and shapes their emotional responses to ...
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14452 Views

What preparation should I do for my medical school interview?

It's important to know lots about the university you are given an interview at. The application process for medicine is difficult and you have to be able to talk about why you want to do the subject and why ...
RC
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