Mod(z-25i)<15, Mathematics

Assignment Help:

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) ]


Related Discussions:- Mod(z-25i)<15

Duality., advanteges of duality

advanteges of duality

Determine the solution to initial value problem, Find the solution to the s...

Find the solution to the subsequent IVP. ty' - 2y = t 5 sin(2t) - t 3 + 4t 4 , y (π) = 3/2 π 4 Solution : First, divide by t to find the differential equation in the accu

System of linear equations, create a system of linear equations that has (2...

create a system of linear equations that has (2,3)as a solution.

Real and distinct roots, Now we start solving constant linear, coefficient ...

Now we start solving constant linear, coefficient and second order differential and homogeneous equations. Thus, let's recap how we do this from the previous section. We start alon

Algebra, Manuel is a cross-country runner for his school’s team. He jogged ...

Manuel is a cross-country runner for his school’s team. He jogged along the perimeter of a rectangular field at his school. The track is a rectangle that has a length that is 3 tim

Fundamental sets of solutions, The time has at last come to describe "nice ...

The time has at last come to describe "nice enough". We've been using this term during the last few sections to explain those solutions which could be used to form a general soluti

Example of division of fractions, Example of division of fractions: E...

Example of division of fractions: Example: (4/5)/(2/9) = Solution: Step 1:             Invert the divisor fraction (2/9) to (9/2). Step 2:             Multip

#title.algebra., how do i understand algebra? whats the formula i just dont...

how do i understand algebra? whats the formula i just dont get it

Rules of logarithms, Rule 1 The logarithm of 1 to any base is 0. Pro...

Rule 1 The logarithm of 1 to any base is 0. Proof We know that any number raised to zero equals 1. That is, a 0 = 1, where "a" takes any value. Therefore, the loga

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd