Other Math Answers

Find the radius of the sphere which passes through the points ( 0,0 ,0 ),(1,0,0 ),(0,1,0)
and (0,0,1)

In operation and research for transportation problem with 4 origins and 5 destinations what is the maximum number of basic cells? Explain.

a grocery shop sell milk packets containing half a litre of milk. it makes bulk purchase of the same from the nearby city. every time a purchase is made, it incurs a cost of Rs 50 towards transportation. the daily demand of packets is about 250. the holding cost is Rs 0.10 for a packet per day to preserve it in a refrigerator. determine the optimum quantity of a bulk purchase and a cycle time.

Solve the following linear programming problem graphically:
Max x1 + 3x2
Subject to

-3x1 + 7x2 ≤ 21
3x1 - 3x2 ≤ 3
-2x1 + 2x2 ≤ 4
x1, x2 ≥ 0

Let A = 5i − j + k, B = j − 5k, C = −15i + 3 j − 3k be three vectors. Which pair of
vectors are
i) perpendicular? ii) parallel?

Find the inverse of the matrix {(3, 1, 2),(-2,3,-5),(1,2,4)} using Gauss Jordan Method

Using Xo = 0 find an approximation to one of the zeros of x^3 − 4x +1 = 0 by using Birge Vieta Method. Perform two iterations

Find an approximate value of the positive real root of xe^x =1 using graphical method. Use
this value to find the positive real root of xe^x =1 correct to three decimal places by fixed
point iteration method.

Using Maclaurin’s expansion for sin x , find the approximate value of sin (π/4) with the error
bound 10^(−5) .

Find an appropriate root of x^3 + 2x^2 − 5 = 0 in [1,2 ] with 10^(−5) accuracy by
i) Newton Raphson Method
ii) Secant Method
What conclusions can you draw from here about the two methods?