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Mod(Z-25i)<15 then diffrence of min,max of argZ Sol) mod (Z-25i)<15,means Z lies in the circumference of the circle with (0,25) at its centre and radius less then 15.so difference in the max and min value of arg Z is given by the angle between the common tangents to the circle from origin.the length of the tangents are 20 units( root [(25)^2 - (15)^2])
Hence the angle between y axis and a tangent is tan inverse (15/20) = tan inverse 3/4=37 degree.hence the total diff. = angle between the tangents = 2 times the angle between the y axis and one of the tangents.
=2.37=74 degree or 2.[tan inverse 3/4]
= 74 degree or [tan inverse (24/7) ]
Cristiano Ronaldo runs 33.6 kilometres per hour. Usain Bolt set world record for running 100 m at 9.58 sec. Show me how to compare these two sportsmen. Step by step.
Sir, With due respect,I, beg to state that I want to join as a maths expert and earn some money. I would be grateful to you if you guide me in this regard.
Jeff burns 500 calories per hour bicycling. How long will he have to ride to burn 750 calories? To find out the number of hours required to burn 750 calories, divide 750 throug
The ratio of the sum of first n terms of two AP's is 7n+1:4n+27. Find the ratio of their 11th terms . Ans: Let a 1 , a 2 ... and d 1 , d 2 be the I terms are Cd's of t
A retired couple has up to $30000 to invest in fixed-income securities. Their broker recommends investing in two bonds: one a AAA bond yielding 8%; the other a B+ bond paying 12%.
A linear differential equation is of differential equation which can be written in the subsequent form. a n (t) y (n) (t) + a n-1 (t) y (n-1) (t)+..............+ a 1 (t) y'(
how to do this project
Write an octave program that will take a set of points {x k , f k } representing a function and compute the derivative at the same points x k using 1. 2-point forward di erence
writing sin 3 a.cos 3 a = sin 3 a.cos 2 a.cosa = sin 3 a.(1-sin 2 a).cosa put sin a as then cos a da = dt integral(t 3 (1-t 2 ).dt = integral of t 3 - t 5 dt = t 4 /4-t 6 /6
3x^2+19x-14=0
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