" (v) "2^(2x+2)=4^(2x-1)

a.) 2 ^ (2x + 2) = 4 ^ (2x-1) b.) 7 ^ (x) = 343

Evaluate: lim_(x rarr 1) (2x^(2)+4x+4)/(2x-1) .

If 4^(x)+2^(2x-1)=3^(x+(1)/(2))+3^(x-(1)/(2)), then x=..

Solve for x in R : 4^(x^2)=< 3.2^(x^2+2)+ 4^(x+1) .

Without expanding, find the value of: (2x - 1)^4 + 4(2x - 1)^3 (3 - 2x) + 6(2x - 1)^2 (3 - 2x)^2 + 4(2x - 1) (3 - 2x)^3 + (3 - 2x)^4

Without expanding, find the value of: (i) (x + 1)^4 - 4(x + 1)^3 (x - 1) + 6(x + 1)^2 (x - 1)^2 - 4(x + 1) (x - 1)^3 + (x -1)^4 (ii) (2x - 1)^4 + 4(2x - 1)^3 (3 - 2x) + 6(2x - 1)^2 (3 - 2x)^2 + 4(2x - 1) (3 - 2x)^3 + (3 - 2x)^4

The least value of the quadratic polynomial, f(x) = (2p^(2) + 1) x^(2) + 2 (4p^(2) - 1) x + 4(2p^(2)+1) for real values of p and x is

The least value of the quadratic polynomial, f(x) = (2p^(2) + 1) x^(2) + 2 (4p^(2) - 1) x + 4(2p^(2)+1) for real values of p and x is

int((x^(- 6)-64)/(4+2x^(- 1)+x^(- 2))*(x^2)/(4-4x^(- 1)+x^(- 2))-(4x^2(2x+1))/(1-2x))dx

Evaluate {:(" Lt"),(xrarr2):}(2x^(2)-7x-4)/((2x-1)(sqrt(x)-2))