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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) ]
A cylindrical hole with a radius of 4 inches is cut through a cube. The edge of the cube is 5 inches. Determine the volume of the hollowed solid in terms of π. a. 125 - 80π
A story based on profit and loss
A lobster catcher spends $12 500 per month to maintain a lobster boat. He plans to catch an average of 20 days per month during lobster season. For each day, he must allow approx
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(a) Assume that A is a m 1 ×m 2 matrix and B is a m 2 ×m 3 matrix. How many multiplications are required to calculate the matrix product AB? (b) Given that A 1 is a 20 × 50 m
40000*1000
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which physics law is used to describe heat loss in cylindrical pipe
y=3x^2+12+11
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