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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
11319 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
4001 Views

Can you explain Westphal's views on the development of philosophical thought in 'The emergence of mdoern philosophy'?

In Westphal’s paper, ‘The emergence of modern philosophy of religion’, it is evident that he is focusing on the move from philosophy of theology to that of religion. Whilst the first is god talk, being famou...
MW
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