Use the second shift theorem to find the inverse laplace transform of (e^−3s) / (s^2 + 2s − 3)

Two line segments are shown in the figure below. suppose that the length of the line along the x-axis is 6, and the length of the hypotenuse of the triangle is 10. what is the equation of the hypotenuse line (shown in red, below)?

Sketch the region enclosed by the given curves. decide whether to integrate with respect to x or y. draw a typical approximating rectangle and label its height and width. y= 5x, y=7x^2then find the area s of the region.

Find two numbers if their sum is 91 and the ratio is 6: 7?