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Calculate the area of a circle of diameter 8cm

Solution: We can first write down the formula for the area of a circle which is pi*(radius)^2. The radius of the circle is half the diameter, so radius= 1/2(8)=4cm. Therefore the area of the circle is: pi* (...
HH
Answered by Headon H. • Maths tutor
20567 Views

Write the complex number Z=1/2+sqrt(3)/2j both as a function involving cos & sin, and as a function involving an exponential.

|Z| = sqrt(1/2^2 + (sqrt(3)/2)^2) = 1 arg(Z) = arctan((sqrt(3)/2)/(1/2)) = pi/3 Z = cos(pi/3) + jsin(pi/3) Z = e^j(pi/3) Apologies for the use of sqrt(), I have no way yet of using the symbol on my laptop
SR
Answered by Sol R. • Maths tutor
4527 Views

Let f(x) = 5x^4 + 6x^3 + 3, find dy/dx at x = 3

First we must differentiate the equation with respect to x. To differentiate you must multiply the coefficient (number in front) by the power of x, then subtract 1 from the power. So here we find dy/dx = (5 ...
FK
Answered by Francesca K. • Maths tutor
3908 Views

Why should I think about alternative meanings when analysing a word/phrase?

Being able to think about an alternative meaning for a particular word or phrase when analysing a text is a skill that will allow for a student to reach a higher band, as it displays perceptive thinking and ...
AB
3923 Views

I'm having trouble differentiating between "wenn" and "als". How do I use them correctly?

I understand this is a common issue amongst English native speakers since we would normally translate both as "when". But don't worry, they are actually quite easy to differentiate and once you'll ...
TT
Answered by Timea T. • German tutor
1985 Views