geometry, Mathematics

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Prove that xa+ar=xb+br of circle, In figure, XP and XQ are tangents from X ...

In figure, XP and XQ are tangents from X to the circle with centre O. R is a point on the circle. Prove that XA+AR=XB+BR Ans:    Since the length of tangents from externa

Determine the average bit rate - huffman codebook, 1. Consider a source wi...

1. Consider a source with 4 symbols {a,b,c,d}. The probability of the 4 symbols are P(a)=0.4, p(b) = 0.1, p(c)=0.2, p(d)= 0.3. a. Design a Huffman codebook for these symbols.

Examples of complex numbers, Following are some examples of complex numbers...

Following are some examples of complex numbers. 3 + 5i                                                 √6 -10i (4/5) + 1           16i                     113 The last t

Equation: 4x^4+9x^4=64 , If 4x^4+9x^4=64 then the maximum value of x^2+y^2 ...

If 4x^4+9x^4=64 then the maximum value of x^2+y^2 is solution) From the eq. finding the value of x^2 and putting it in x^2 + y^2.we get 2nd eq. differentiating that and putting

Fractions, how can I compare fractions with unlike denominators?

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Find out if the sets of vectors are parallel or not, Determine or find out ...

Determine or find out if the sets of vectors are parallel or not. (a) a → = (2,-4,1), b = (-6, 12 , -3) (b) a → = (4,10), b = (2,9) Solution (a) These two vectors

Analysis and optimization, 1. In an in finite horizon capital/consumption m...

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Principle of superposition, If y 1 (t) and y 2 (t) are two solutions to a...

If y 1 (t) and y 2 (t) are two solutions to a linear, homogeneous differential equation thus it is y (t ) = c 1 y 1 (t ) + c 2 y 2 (t )   ........................(3) Remem

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