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Prove that the square of an odd integer is odd.

Let n be an odd integer. This means that n is 1 more than an even integer. By definition, even integers are multiples of 2 so all even integers can be written in the form 2m where m is an integer. Therefore,...
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Answered by Mary O. Maths tutor
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Solve the inequality: x^2 - x < 12

Firstly, the equation should be rearranged to get all the non-zero terms onto one side, with the simplest way of doing this being subtracting 12 from both sides, giving the equation x 2 - x - 12 &lt; 0. Then...
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Answered by Thomas H. Maths tutor
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How does Shakespeare present women in The Taming of the Shrew?

The Taming of the Shrew is set in Italy in the late 1500s, and suggests that women should be mild-mannered, and obedient to their husbands. In the play, Shakespeare contrasts the two main female characters, ...
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Answered by Alex J. English tutor
9059 Views

Find the area under the curve of y=x^2 between the values of x as 1 and 3

First you should express this in the correct format using the integral sign. We need to find the integral with respect to x so include dx in the equation before integrating. To integrate we add one to the po...
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Answered by Kishan P. Maths tutor
3327 Views

What is active transport?

This is a form of movement of molecules. This is the movement of molecules from an area of low concentration to an area of high concentration (against the concentration gradient) across a membrane. As it is ...
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Answered by Zimeng W. Biology tutor
3222 Views