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When calculating a question with a double integral question between two different ranges which range relates to which integration variable.

When doing double integration with two arbitrary variables, for example 'x' and 'y' look at the Integration on the inside and integrate the function between the given range. For example if the integrand is t...
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Answered by Piranavan V. • Maths tutor
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How do I differentiate (e^(2x)+1)^3?

You might be tempted to start by expanding the brackets, but in this case it's much easier to use the chain rule. This is the rule that, to differentiate f(g(x)), we find f'(g(x))*g'(x). In other words, to d...
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Answered by Alfie H. • Maths tutor
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Solve x^2 = 4(x – 3)^2

x 2 = 4(x-3) 2 x 2 = 4(x-3)(x-3) - showing that these are double bracketsx 2 = 4(x 2 - 6x + 9) - expanding the double bracketsx 2 = 4x 2 - 24x + 36 - multiplying the 4 by the expression inside to remove the ...
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Answered by Emily L. • Maths tutor
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Expand the following equations

a. x(x+4)b. 3x(x+4)c. (x+8)(x+3)d. (x+7)^2
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Answered by Kane S. • Maths tutor
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There are 10 boys and 20 girls in a class. In a class test, the mean score of the boys is 77. The mean score of the girls is 80. What is the mean score of the whole class?

To calculate the mean of the whole class:1) Find the sum of the individual scores of the whole class. Boys: 10 x 77 = 770Girls: 20 x 80 = 1600Total of Boys and Girls: 770 + 1600 = 23702) Divide the sum of th...
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Answered by Anuj M. • Maths tutor
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