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Further Mathematics
A Level

FP1 June 2016 Edexcel Exam Paper Question 7

Question7. A complex number z is given by z = a + 2i where a is a non-zero real number. (a) Find z2 + 2z in the form x + iy where x and y are real expressions in terms of a. (4) Given that z2 + 2z is real...

JR
7135 Views

You have three keys in your pocket which you extract in a random way to unlock a lock. Assume that exactly one key opens the door when you pick it out of your pocket. Find the expectation value of the number of times you need to pick out a key to unlock.

Let X be the random variable for this question. P(X=x) = 1/3 for all x. When X=x, we have that it took x times for us to retrieve the correct key.Thus, we have the infinite sum 1/3 + 22/31/3 + 3*...

NO
2193 Views

What's the best way to solve projectile problems in Mechanics?

Getting a complicated problem of a mass being projected at a weird angle can seem daunting at first but these problems can be solved easily by breaking them down into two simpler problems.Using trigonomet...

OA
2377 Views

Solve the second order ODE, giving a general solution: x'' + 2x' - 3x = 2e^-t

First find an auxiliary equation, for the complimentary function:m^2 + 2m - 3 = 0, (m+3)(m-1)=0m=1 or m=-3So the complimentary function is: x= Ae^t + Be^-3tFor the particular integral (PI), let x = Ue^-tt...

IF
2299 Views

I do not understand this topic and particularly this example. In the class the result was found out but I still do not get it. How did the teacher came up with this outcome?

Firstly please show me what was the topic and the example in class. Given the topic I will provide the answer and the easiest way to complete it.
For example, let's say the student had to solve the ...

MF
2514 Views

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