Find value of x where `.^(4-x)P_(2)=6`

Find the value of x if ^(4x-2)P_2=6

Find the value of k if p(x)=x^(2)+kx+6andp(2)=0 .

If f(x) = (6-4x)/(1+2x+2x^(2)) find f'(x) . Also find the value of x for which f'(x) = 0 .

Find the approximate value of f(2.01), where f (x) = 4x^(2) + 5x + 2.

Find the value of x if , |{:(2,4),(5,1):}|=|{:(2x,4),(6,x):}|

Find values of x, if (i) {:|( 2,4),(5,1)|:}={:|( 2x,4),(6,x) |:}" "(ii) {:|( 2,3),(4,5)|:}={:|( x,3),( 2x,5)|:}

Find the approximate value of f (3.02), where f(x) = 3x^(2)+ 5x + 3.

Find the approximate value of f(5.001), where f(x) = x^(3) – 7x^2 + 15.

If xsqrt2=1+sqrt-1, "find the value of " x^(6)+x^(4)+x^(2)+2.

If (1+x-2x^(2))^(6) = 1 + a_(1)x+a_(2)x^(2) + "……" + a_(12)x^(12) , then find the value of a_(2) + a_(4) +a_(6)+ "……" + a_(12) .