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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) ]
If sin? = 1/2 , show that 3cos?-4cos 3 ? = 0. Ans: Sin ? = ½ ⇒ ? = 30 o Substituting in place of ? =30 o . We get 0.
Describe, in your own words, the following terms and give an example of each. Your examples are not to be those given in the lecture notes, or provided in the textbook. By the en
a statisics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 46.0 and 56.0 minutes. find the probability that a given class pe
Q. Sum and Difference Identities? Ans. These six sum and difference identities express trigonometric functions of (u ± v) as functions of u and v alone.
x+3=2
Integrate following. ∫ -2 2 4x 4 - x 2 + 1dx Solution In this case the integrand is even & the interval is accurate so, ∫ -2 2 4x 4 - x 2 + 1dx = 2∫ o
Problem 1 Let ~x0 = A~x and y 0 = B~y be two 2 2 linear systems of ODE. (1) Suppose that A and B have the same purely imaginary eigenvalues. Prove that these systems are topologi
Need two equal fractions multiply and divide 1/6 3/4 5/15 2/7 20/25 24/36 4/9
How do you simplify 10:30:45
what are the advantages and disadvantages of both Laspeyres and Paasche index
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