Complete the following and find the value of `x` and `y`

Complete the following activity to find the value of determinant:

alpha and beta are the roots of x^2-3x-7=0 . Complete the following activity to find the value of alpha^3+ beta ^3 .

Complete the following activity to find the value of the discriminant for the quadratic equations: 4x^2-5x+3=0 Here a=4,b=….,c=3

One of the roots of the quadratic equation kx^2-3x-1=0 is 1/2. Complete the following activity to find the value of k.

Complete the following table. x+y=7

Complete the following table to draw the graph of 2x-6y=3 . .

Find the derivative of the inverse functionof the followings, and also find their value at the points indicated against them: y = sin (x-2) + x^2 , at x = 2

Find the derivative of the inverse functionof the followings, and also find their value at the points indicated against them: y = e^x + 3x + 2 , at x = 0

Complete the following table to draw the graph of the equation x-y=1:

Complete the following table to draw the graph of the equations x+y=3,x-y=4