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i) differentiate xcos2x with respect to x ii) integrate xcos2x with respect to x

i) For this question we need to use the product rule as there are two functions that are being multiplied together Product Rule: (uv)'=u'v + v'u Apply this formula to the problem: xcos2x => u=x, u'=1 =&gt...
CP
Answered by Carina P. • Maths tutor
7121 Views

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 = e^[...
JC
Answered by Joanna C. • Maths tutor
4524 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 (p...
SM
Answered by Selin M. • French tutor
2566 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 verb...
CJ
Answered by Claudia J. • French tutor
2056 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 an ...
EW
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