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How do the methods employed by Sylvia Plath in her poems enable her to explore their extreme subject matter?

Plath employs a variety of methods in her poetry which are sucessful in both creating tension and heightening the physical and mental pain which she describes. In her poem "Daddy", the repetitive &...
CH
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what is 64 to the power of 2/3?

If a number is to the power of 2/3, you should think of it as to the power of 1/3 (so CUBE-rooted), and then being to the power of 2 (so squared). So here, the cube root of 64 is 4, because 4x4x4=64. Then yo...
SO
Answered by Stephanie O. • Maths tutor
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How do I know when to use Sine, Cosine and Tangent

The easy way to remember these uses the acronym SOH-CAH-TOA The function to use depends on the sides of the triangle you know in the problem. With right angled triangles each side has a name: the hypotenuse ...
JG
Answered by Judy G. • Maths tutor
16757 Views

Let w, z be complex numbers. Show that |wz|=|w||z|, and using the fact that x=|x|e^{arg(x)i}, show further that arg(wz)=arg(w)+arg(z) where |.| is the absolute value and arg(.) is the angle (in polar coordinates). Hence, find all solutions to x^n=1 .

Put w=a+bi, z=c+di where a, b, c, d are real, and i 2 =-1. Then |wz| 2 =|(a+bi)(c+di)| 2 =|ac-bd+(ad+cb)i| 2 =(ac) 2 +(bd) 2 -2bcd+(ad) 2 +(cb) 2 +2abcd=(ac) 2 +(bd) 2 +(ad) 2 +(cb) 2 =(a 2 +b 2 )(c 2 +d 2 )...
JK
Answered by Jihoon K. • Maths tutor
8283 Views

Express 9^(3x+)1 in the form 3^y giving y in the form of ax+b where a and b are constants.

Fistly show that: 9 3 x +1 =3 y To find x we need to get the left hand side of the equation to be 3 m (3 x +1) where 3 m =9. I know that 3 2 =9 (but if you don't you can use m=log 3 (9)=2) This gets us: 3 2(...
JG
Answered by Judy G. • Maths tutor
6091 Views