If the complex number z satisfies \left|z\right|-z-4\left(1-2i\right)=0, which of the following is \left|z^2\right|?
(A) 80
(B) 180
(C) 100
(D) 400
Answers C
How does denominating the buying and selling of exports in the same currency minimise exchange rate exposure.
In the textbook it says how one way natural hedging can work is through : Arranging for import payments and export receipts denominated in the same foreign currency; hence any losses...
In the textbook it says that one method of establishing a natural hedge can be achieved by "arranging for import payments and export receipts denominated in the same foreign currency; hence any losses from a movement in the exchange rate will be offset by gains from the other. " However, I am a...
There are 4 families and each family has 4 children. Assume the probability of having a boy or girl is 1/2. Determine the probability that exactly 2 of the families will have exactly 2 boys and 2 girls as children.
Answer : 675/2048
let f(x) = e^x -x -1
a) prove f(x) > 0 for all x except 0
b) by finding a suitable value of x, prove e^(pi) > (pi)^e
i know how to do question a; but how do you get question b? for question b, the answer says substitute x= (pi/e) - 1; but how do you find this value in the first place?
Got my ext 2 maths marks for the first task back; feeling extremly defeated because I got one of the lowest marks in the grade. I don't know how I am going to come back from this; arghhhh im so frustrated at myself.
Ahhh I'm so bad at complex numbers!! I feel like no matter how many times I practice, I am not getting better!!
Could someone tell me how to get 11d? I feel like I'm pretty close, but can't quite get it.
How do I do this question :
In triangle abc, d is the midpoint of bc and angle bac is 90 degrees. Use the vector method to show that length da= length bd.
How do I do this question?
Find all the zeroes of the polynomial P(x) = x^4+4x^3+11x^2+14x+10 given that all the roots are in the form a ± bi and a ± 2bi.
ANS : -1 ± i, -1 ± 2i
1. Let w be a seventh root of unity. Find the equation of the quadratic polynomial with roots w+w^2+w^4 and w^3+w^5+w^6.
ANS : x^2+x+2
2. Let w be the principal nth root of unity.
Prove that w conjugate = w^(n-1)
1. Prove that if z1+z2+z3= 0 and|z1|=|z2|=|z3|= 1, then the pointsz1, z2andz3are the vertices of an equilateral triangle inscribed in the unit circle.
2. Let a,b,c be complex numbers representing vertices of triangle ABC, let w = cos(2 pi/3) + isin (2pi/3) show that triangle ABC is equilateral...
Hey, could someone explain to me what tension is and does it oppose motion.
For example in this question :
Is tension moving up the rope from the pink block or down the rope to the pink block?
Also why is the equation 3a=T-3gsin θ instead of 3a=3gsin θ -T
Two forces, of magnitude p newtons and q newtons, have a resultant of 2√7 N when they act at 90° to each other. When they act at 30° to each other, however, the magnitude of the resultant is 2√13 N. Find the values of p and q.
This question is from the cambridge textbook.
ANS : 2√3 and 4