Write the following as intervals : `{x : x in R,-4 < x le 6}`

Write the following as intervals : {x : x in R,-12 < x < -10}

Write the following as intervals : {x : x in R, 0 le x < 7}

Write the following as intervals : {x : x in R, 3 le x le 4}

Write the following as intervals: {x:x in R, 1 le x le 4}

Write the following as intervals: {x:x in R, 0 le x le 7}

Mark the following subsets of set R of real numbers on the number line and write them intervals: {x:x in R, x ge 3}

In which of the following interval x^2 e^x is increasing ?

Differentiate the following w.r.t. as indicated: (x^-1)^(4//5) w.r.t |x| .

Verify Lagrange's mean value theorem for the following functions f(x) = x^2 + x - 1 in the interval [0,4]

Verify Rolle's theore for the following functions f(x) = x(x^2 - 4) in the interval [-2,2] .