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Find the Quadratic polynomial whose sum and product of zeros are √2 + 1, 1/ √2 + 1 Ans: sum = 2 √2 Product = 1 Q.P = X 2 - (sum) x + Product ∴ x 2 - (2 √2 )
Geometric Applications to the Cross Product There are a so many geometric applications to the cross product also. Assume we have three vectors a → , b → and c → and we make
sin 4 x - sin x = 0
Your factory has a machine for drilling holes in a sheet metal part. The mean diameter of the hole is 10mm with a standard deviation of 0.1mm. What is the probability that any
two circle of radius of 2cm &3cm &diameter of 8cm dram common tangent
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
PAIR OF LINEAR EQUATIONS IN TWO VARIABLES: Like the crest of a peacock so is mathematics at the head of all knowledge. Example At a certain time in a deer park, t
maximize Z=2x+5y+7z, subject to constraints : 3x+2y+4z =0
The position of an object at any time t (in hours) is specified by, s (t ) = 2t 3 - 21t 2 + 60t -10 Find out when the object is moving to the right and whiles the object
Vectors - The Basics Let us start this section off with a quick discussion on what is the use of vector. Vectors are utilized to present quantities that have both a magnitude
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