Solve the inequality   5and graph its solution.

Verify that 133 divides 11ⁿ⁺² + 12²ⁿ⁺¹ for every natural number n.

Determine the values of x for which f(x) = x ⁴ – 8x ³ + 22x ² – 24x + 21 is increasing and for which it is decreasing.

Show that the lines, given below, Intersect each other.

If 1,

Find the scalar component of projection of the vector

on the vector

Use De Moivre’s theorem to find (√3 + i) ³ .