Consider the function f given by f(x)=x*(e^(-x^2)) for all real numbers x.
Find the value of integral from 0 to infinity of [x*f(x)]dx given the fact that the integral from 0 to infinity of (e^(-x^2))dx = root pi / 2

The variable in a relation who’s value depends on the value of the independent variable is called what?

Circle a has a diameter of 7 inches, a circumference of 21.98 inches, and an area of 38.465 square inches. the diameter of circle b is 6 inches, the circumference is 18.84 inches, and the area is 28.26 square inches. part a: using the formula for circumference, solve for the value of pi for each circle. (4 points) part b: use the formula for area and solve for the value of pi for each circle. (4 points)

Val and tony get paid per project. val is paid a project fee of $44 plus $12 per hour. tony is paid a project fee of $35 plus $15 per hour. write an expression to represent how much a company will pay to hire both to work the same number of hours on a project.