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Find the cube roots of i in the form a+bi, where a, b are real numbers.

Write i in terms of an exponential, so i = e^(i pi/2).Then the three roots of i are:z_1 = [e^(i pi/2)]^(1/3) = e^(i pi/6) = sqrt(3)/2 + i/2z_2 = e^[i (pi/6 + 2pi/3)] = e^(i 5pi/6) = -sqrt(3)/2 + i/2z_3 = ...

JC
Answered by Joanna C. Maths tutor
3868 Views

How do I know whether the past participle of a verb needs to agree with its 'preceding direct object'?

This is an aspect of French grammar that many university students and even native speakers struggle with!Firstly some definitions. 1) The past participle (pp) of a verb is the form it takes in the perfect...

SM
Answered by Selin M. French tutor
2171 Views

How do you form the perfect tense in French

You take the infinitive, check to see if it's in MRS VANDERTRAMP, if it is then the auxiliary verb will be 'etre' and the past participle will need to agree in number and gender with the subject. If the v...

CJ
Answered by Claudia J. French tutor
1700 Views

What are Oxford interviewers looking for?

Obviously your school grades and predicted A Level grades are important, but if you've made it to the interview stage then your grades have proven to Oxford that you have the academic ability to study on ...

EW
1557 Views

Who are at the greatest risk of developing type II diabetes

Overweight and obese people

LW
2801 Views

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