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How should I approach the 8-mark essay questions, such as 'How does Cicero's language convey a sense of outrage in this passage'?

The important thing to remember for these questions is to be as focused as possible - the examiner doesn't want a thesis! You need to provide 4 points from the passage, which comment on both the content and ...
WT
Answered by William T. • Latin tutor
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Integrate 5sinxcosx + 5cosx

*Use identity sinxcosx = 1/2sin2x =5/2sin2x + 5cosx *then use simple integration gives =(-5/2 x1/2)cosx + 5sinx + c = =5/4cosx +5sinx + c
JA
Answered by Joanne A. • Maths tutor
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z = 50 / (3+4i). What is z in a+bi form?

Multiply by complex conjugate z = 50 / (3+4i) * (3-4i) / (3-4i) Rationalise z = 50 ( 3 - 4i) / 25 = 6 - 8i.
IM
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Express (5-√ 8)(1+√ (2)) in the form a+b√2 , where a and b are integers

5 + 5√ 2 - √ 8 - √ 16 (Break up all terms in terms of square roots of 2) 5 + 5√ 2 - √ 8 - 4 5 + 5√ 2 - 2 √ 2 - 4 1 + 3√2
IM
Answered by Ignacio M. • Maths tutor
11370 Views

A rectangle has a shorter side with a length of x and a longer side with a length of x + 8, the perimeter of the rectangle is 80cm. Calculate the value of x.

For this question, one would sum the algebraic lengths of the rectangle, creating a result of 4x + 16. This is the algebraic perimeter of the rectangle which must be equated to the numerical value of the per...
BS
Answered by Ben S. • Maths tutor
4041 Views