In regression analysis if the independent variable is measured in kilogram , the dependent variable *
a.must also be in kilograms.
b.must be in some unit of weight
c.can be any units
d.can not be in kg

Number of ways in which 8people can be arranged in a line if A and B must be next each other and C must be somewhere behind D,is equal to

Dimensionsal methods provide three major advantages in verification , deviation , and changing the system of units . Any empirical formula that is derived based on this method has to be verified and propportionality constants found by experimental means . The presence or absence of certain factors - non dimensional constants or variables - cannot be identified by this method . So every dimensionally correct relation cannot be taken as perfectly correct. If alpha kilogram , beta meter , and gamma second are the fundamental units , 1 cal can be expressed in new units as [ 1 cal = 4.2 J]

Identify whether the following sentences are true or false. Also rewrite the false sentences by making suitable corrections. (a) The constituents of a compound can be separated by physical means. (b) Boron is a metal (c) Xenon is an inert gas. (d) Atom is the smallest unit of a compound. (e) Aluminium is the most abundant non-metal in the earth's crust.

Evaluating integrals dependent on a parameter: Differentiate I with respect to the parameter within the sign an integrals taking variable of the integrand as constant. Now evaluate the integral so obtained as a function of the parameter then integrate then result of get I. Constant of integration can be computed by giving some arbitrary values to the parameter and the corresponding value of I. The value int_(0)^(pi//2)log(sin^(2)theta+k^(2)cos^(2)theta)d theta , where kge0, is

Evaluating integrals dependent on a parameter: Differentiate I with respect to the parameter within the sign an integrals taking variable of the integrand as constant. Now evaluate the integral so obtained as a function of the parameter then integrate then result of get I. Constant of integration can be computed by giving some arbitrary values to the parameter and the corresponding value of I. The value of (dI)/(da) when I=int_(0)^(pi//2) log((1+asinx)/(1-asinx)) (dx)/(sinx) (where |a|lt1 ) is

Evaluating integrals dependent on a parameter: Differentiate I with respect to the parameter with in the sign an integrals taking variable of the integrand as constant. Now evaluate the integral so obtained as a function of the parameter then integrate then result of get I. Constant of integration can be computed by giving some arbitrary values to the parameter and the corresponding value of I. The value of int_(0)^(1)(x^(a)-1)/(logx)dx is

Evaluating integrals dependent on a parameter: Differentiate I with respect to the parameter within the sign an integrals taking variable of the integrand as constant. Now evaluate the integral so obtained as a function of the parameter then integrate then result of get I. Constant of integration can be computed by giving some arbitrary values to the parameter and the corresponding value of I. If int_(0)^(pi)(dx)/((a-cosx))=(pi)/(sqrt(a^(2)-1)) , then the value of (dx)/((sqrt(10)-cosx)) is

If alpha,beta are the roots of x^(2)+px+q=0 adn x^(2n)+p^(n)x^(n)+q^(n)=0 and ilf(alpha/ beta),(beta/ alpha) are the roots of x^(n)+1+(x+1)^(n)=0, then n(in N) a.must be an odd integer b.may be any integer c.must be an even integer d.cannot say anything

here are six people -P, Q, R, S, T and U-each having different wieght . P is heavier than U but lighter than Q.T is heavier than R but lighter than P. Q is lighter than S.R is not the lightest . The second lightest person wieght 52 kilogram while the third heaviest is 64 kilogram Which of the following may represent the weight of Q? (a) 62kg (b) 66kg (c) 60kg (d) 58kg