if p=x+1 and `(4p-3)/(2)-(3x+2)/(5)=(3)/(2)` find x

Solve : (4-3x)/(5)+(7-x)/(3)+4(1)/(3)=0 . Hence, find the value of 'p', if 3p-2x+1=0 .

Find the zero of the polynomial : (i) p(x)=x-3 " " (ii) q(x)=3x-4 " " (iii) p(x)=4x-7 " " (iv) q(x)=px+q, p ne 0 (v)p(x)=4x " " (vi) p(x)=(3)/(2)x-1

If f(x)=(sin3pix+Asin5pix+Bsinpix)/((x-1)^(5)) for x!=1 is continuous at x=1 and f(x)=(p^(2)pi^(5))/((p+1)) , then evaluate p.

If p(x)=x^(3)+2x^(2)+x find : (i) p(0) (ii)p(2)

If P(X) = (3)/( 10) , P(Y) = (2)/(5) and P(X cupY) = (3)/(5) , "then " P((Y)/(X)) + P ((X)/(Y)) equals

Evaluate the following limits : Lim_(x to 1) (x^(4) - 3x^(3) +2)/(x^(3)-5x^(2)+3x+1)

Events A, B, C are mutually exclusive events such that P(A)=(3x+1)/(3), P(B)=(1-x)/(4) " and " P(C )=(1-2x)/(2) . The set of all possible values of x are in the interval

BY Remainder theorem , find the remainder when p(x) is divided by g(x) (i) p(x) =x^(3)-2x^(2)-4x-1, g(x)=x+1 (ii) p(x) =x^(3)-3x^(2)+4x+50, g(x) =x-3

If X is a Poisson variate with P(X=2)=(2)/(3)P(X=1) , find P(X=0) and P(X=3)

check whether p(x) is a multiple of g(x) or not (i) p(x) =x^(3)-5x^(2)+4x-3,g(x) =x-2. (ii) p(x) =2x^(3)-11x^(2)-4x+5,g(x)=2x+1