If `x_1` and `f_i` are sufficiently small, then which method is an appropriate choice?

If x_i and f_i are numerically large numbers, then which methods are appropriate to use?

If (2+sqrt(3))^n=I+f, where I and n are positive integers and 0lt f lt1 , show that I is an odd integer and (1-f)(1+f) =1

State which of the following statements are true and which are false ? Give reasons for your choice. (1)/(x^(2)-5x+6) is a quadratic polynomial.

If f_i, F_i, F'_i are respectively the frequency less than type cumulative frequency, greater than type cumulative frequency of i-th class and N be the total freqnency then which of the following is correct?

Given z=f(x)+ig(x) where f,g:(0,1) to (0,1) are real valued functions. Then which of the following does not hold good? a. z=1/(1-i x)+i1/(1+i x) b. z=1/(1+i x)+i1/(1-i x) c. z=1/(1+i x)+i1/(1+i x) d. z=1/(1-i x)+i1/(1-i x)

Each question has four choices, a,b,c and d,out of which only one is correct. Each question contains STATEMENT 1 and STATEMENT 2. if both the statements are true and statement 2 is the correct explanation of statement 1. If both the statements are true but statement 2 is not the correct explanation of statement 1. If statement is True and statement2 is false. If statement1 is false and statement2 is true. Statement 1: If x in [1,sqrt(3)], then the range of f(x)=tan^(-1)x is [pi/4,pi/3] Statement 2 : If x in [a , b], then the range of f(x)i s[f(a),f(b)]dot

Check the validity of the following compound statement using (i) direct method contrapositive method and (iii) contradiction method If x is a real number such that 4x^(3)+3x=0, " then" x=0

If f(x)=tan^-1x, find the relation by which f(x),f(y) and f(x+y) are connected.

If f(x) = 3x - 9 , state which of the following is the value of f(x^2-1):

If u_i = (x_1 -25)/10, Sigma f_i u_i = 20 and Sigma f_i = 100 , then find the value of bar x .