Set up an integral for finding the Laplace transform of the following function: f(t)={0,t−7, 0≤t<4 4≤t. F(s)=L{f(t)}=∫BA help (formulas) where A= and B= . Find the antiderivative (with constant term 0) corresponding to the previous part. Evaluate appropriate limits to compute the Laplace transform of f(t): F(s)=L{f(t)}= Where does the Laplace transform you found exist? In other words, what is the domain of F(s)? help (inequalities)

Louis wants to carpet the rectangular floor of his basement.the basement has an area of 864 square feet.the width of the basement is 2/3 it's length. what is the length of louis's basement

Ahigh-altitude spherical weather balloon expands as it rises, due to the drop in atmospheric pressure. suppose that the radius r increases at the rate of 0.02 inches per second, and that r = 36 inches at time t = 0. determine the equation that models the volume v of the balloon at time t, and find the volume when t = 360 seconds. v(t) = 4π(0.02t)2; 651.44 in3 v(t) = 4π(36 + 0.02t)2; 1,694,397.14 in3 v(t) = four pi times the product of zero point zero two and t to the third power divided by three.; 4,690.37 in3 v(t) = four pi times the quantity of thirty six plus zero point zero two t to the third power divided by three.; 337,706.83 in3

Explain how the quotient of powers was used to simplify this expression.