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For complex number z, the minimum value of |z| + |z - cosa - i sina|+|z - 2(cosa + i sina )| is..? Solution) |z| + |z-(e^ia)| + |z-2(e^ia)| we see.....oigin , e^ia , 2e^ia , forms a straight line.and for minimum value..... z must coincide with e^iahence the equation becomes:=|e^ia| + 0 + |-e^ia|=1 + 0 + 1=2(ANS)
Determine if the following sequences are monotonic and/or bounded. (a) {-n 2 } ∞ n=0 (b) {( -1) n+1 } ∞ n=1 (c) {2/n 2 } ∞ n=5 Solution {-n 2 } ∞ n=0
Question: There are 6 letters and 6 self addressed envelopes.What is the probability that atleast 1 is placed correctly?? Ans: If we let A be the event that letter A is in the cor
give an example of a relation R that is transitive while inverse of R is not
definition of core marketing concepts
Factorize x squared + 6x + 8
solve for x and y 2x+3y=12 and 30x+11y=112
question..A Circular rug is 6 yards in diameter. Binding for the edge of the rug cost $2.00 per yard . what eill it cost to bind the rug
max z=3x1+2x2 s.t x1+2x2 3x1+2x2>=6 x1+4x2 x1,x2,x3>=0
prove that the composition of two simple harmonic of the same period and in the same straight line is also a simple harmonic motion of the same period.
what to do
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