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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)
A sphere and a cube have equal surface areas. Show that the ratio of the volume of the sphere to that of the cube is √6 : √π. Ans: S.A. of sphere = S.A of cube 4π r 2
Logarithmic form and exponential form ; We'll begin with b = 0 , b ≠ 1. Then we have y= log b x is equivalent to x= b y The first one is called
arrange these numbers in ascending order. -5 -7 1 2 15 0 - 25
Factoring out the greatest common factor of following polynomials. 8x 4 - 4 x 3 + 10 x 2 Solution Primary we will notice that we can factor out a
I need marketing management sample assignment as a guide
660 ft/min=________ft/sec
what are the dimensions of the box that can be made if squares of x cm by x cm is cut off from 20cm by 20cm square paper
How many integers satisfy (sqrt n- sqrt 8836)^2 Solution) sqrt 8836 = 94 , let sqrt n=x the equation becomes... (x-94)^2 (x-94)^2 - 1 (x-95)(x-93) hence 93 8649 the number o
Finding derivatives
Write 3.5 × 104 in decimal notation? Move the decimal point 4 places to the right to get 35,000.
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