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Let Xi belongs to R such that 0<X1≤X2≤X3..........≤Xn, n≥2 And 1/1+X1+1/X2+......+1/1+Xn=1.Then show that __ __ __
. /X1+ /X2.....+/Xn ≥ (n-1)
__ __
{1//X1+....+1//Xn}
.
. /X1+ /X2.....+/Xn ≥ (n-1)
__ __
{1//X1+....+1//Xn}
.
Prove that A ∩ B = A ∪ B.
Write an odd natural number as a sum of two integers 1m and 2m in a way that 21mm is maximum.
The annual bonus given to the employees of a company is 5% of their taxable incomes, after the state and central taxes are deducted. The state tax is 10% of taxable income. The central tax is 20% of taxable income after deducting the state tax. Formulate this situation for determining the bonus, as a linear system.
Solve by substitution, the system you have obtained in
Solve by substitution, the system you have obtained in
The variation of the specific heat capacity of air with temperature is given in the following set of data:
Heat Capacity (in kJ kg-1 K-1) 1.003 1.005 1.008 1.013 1.020 1.029
Temperature (in K) 250 300 350 400 450 500
Compute the correlation coefficient rXY.
Heat Capacity (in kJ kg-1 K-1) 1.003 1.005 1.008 1.013 1.020 1.029
Temperature (in K) 250 300 350 400 450 500
Compute the correlation coefficient rXY.
If three persons, on an average, come to a company for job interview per day, then determine the probability that less than three people have come for an interview on a given day.
define T: R3→R3 by
. T(x, y, x)=(x+y, y, 2x-2y+2z)
Check that T satisfies the polynomial (x-1)square(x-2). Find the minimal polynomial of T.
. T(x, y, x)=(x+y, y, 2x-2y+2z)
Check that T satisfies the polynomial (x-1)square(x-2). Find the minimal polynomial of T.
Find the truth set of each of these predicates where the
domain is the set of integers.
a) P(x): x3 ≥ 1 b) Q(x): x2 = 2
c) R(x): x < x2
domain is the set of integers.
a) P(x): x3 ≥ 1 b) Q(x): x2 = 2
c) R(x): x < x2
the polynomial f(x)=2x^2+kx^2-3x+5 and g(x) =x^3+2x^2-x+k when divided by (x-2)leave two remainders r1 and r2 respectively.find the value of ''k'' if r1-r2=0
xpress as Single ,Simplified fraction -7/20×5/28÷2/16
