1) a) find the laplace trans form of the following expression: e^7 (6+3t^2- 3 cos 4t +5 sin 2t) + 48(t -3) + u(t + 2) b) find the inverse laplace transform of the following expression e^-2s (4/s+1)

Kayla and alberto are selling fruit for a school fundraiser. customers can buy small boxes of grapefruit and large boxes of grapefruit. kayla sold 3 small boxes of grapefruit and 1 large box of grapefruit for a total of $65. alberto sold 1 small box of grapefruit and 1 large box of grapefruit for a total of $55. what is the cost each of one small box of grapefruit and one large box of grapefruit?

How many sides does a regular polygon have if each exterior angle measure is 45 degrees explain your answer, i really don't understand this.

What is the point of inflection for the function f(x)=2cos4x on the interval (0, pi/2)