Find the equation of straight line passing through (2, 3) and perpendicular to the line \(3x + 2y + 4 = 0\)

Differentiate the function y = \(\sqrt[3]{x^2}(2x - x^2)\)

Calculate the mean deviation of the first five prime numbers.

Determine the area of the region bounded by y = \(2x^2\) + 10 and Y = \(4x + 16\).

Find the value of y if \(402_y = 102_{ten}\)