" (viii) "kx^(n)

Find the values of k for which the given quadratic equation has real and distinct roots: (i) kx^(2)+6x+1=0" "(ii)" "x^(2)-kx+9=0 (iii) 9x^(2)+3kx+4=0" "(iv)" "5x^(2)-kx+1=0

Find the value(s) of k for which the given quadratic equations has real and distinct roots : (i) 2x^(2)+kx+4=0 (ii) 4x^(2)-3kx+1=0 (iii) kx^(2)+6x+1=0 (iv) x^(2)-kx+9=0

Find the value(s) of k for which the given quadratic equations has real and distinct roots : (i) 2x^(2)+kx+4=0 (ii) 4x^(2)-3kx+1=0 (iii) kx^(2)+6x+1=0 (iv) x^(2)-kx+9=0

Differentiate each of the following from first principle: kx^(n)

Find the values of k for which f(x) = kx^(3) - 9kx^(2) + 9x + 3 is increasing on R.

Show that sum_(k =0)^(n) C_(k) *sin (kx) cos (n-k) x = 2^(n-1)sin n x where C_(r )= ""^(n)C_(r )

if f(x) = lim_(n->oo) 2/n^2(sum_(k=1)^n kx)((3^(nx)-1)/(3^(nx)+1)) where n in N , then find the sum of all the solution of the equation f(x) = |x^2 - 2|

if f(x)=lim_(n rarr oo)(2)/(n^(2))(sum_(k=1)^(n)kx)((3^(nx)-1)/(3^(nx)+1)) wheren in N, then find the sum of all the solution of the equation f(x)=|x^(2)-2|

Which of the following equations can form stationary waves? (i) y= A sin (omegat - kx) (ii) y= A cos (omegat - kx) (iii) y= A sin (omegat + kx) (iv) y= A cos (omegat - kx) .

Which of the following equations can form stationary waves? (i) y= A sin (omegat - kx) (ii) y= A cos (omegat - kx) (iii) y= A sin (omegat + kx) (iv) y= A cos (omegat - kx) .