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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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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
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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
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What is the Product Rule?

The product rule is used when differentiating two functions that are multiplied by eachother. The formula for the product rule is: U (dv/dx) + V (du/dx) where 'dv/dx' is the differential of the function, V. ...
AW
Answered by Abbie W. • Maths tutor
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The lattice enthalpies of calcium oxide and magnesium oxide are different. Comment on this difference.

Differences in size of an ionic lattice are directly linked to differences in how exothermic the lattice enthalpy of a salt is. Mg 2+ has a smaller radius than Ca 2+ and thus a higher positive charge density...
JE
Answered by Javier E. • Chemistry tutor
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