Find the laplace transform y(s) of the solution of the given initial value problem. then invert to find y(t) . write uc for the heaviside function that turns on at c , not uc(t) .

y'' + 16y = e^(? 2t)u2

y(0) = 0 y'(0) = 0

y(s) =

y(t) =

The length of a rectangle plus its width is 25 cm. the area is 156 square cm. what are the length and width of the rectangle? separate the answers with a comma.

Which value of m will create a system of parallel lines with no solution? y= mx - 6 8x - 4y = 12

David estimated he had about 20 fish in his pond. a year later, there were about 1.5 times as many fish. the year after that, the number of fish increased by a factor of 1.5 again. the number of fish is modeled by f(x)=20(1.5)^x. create a question you could ask that could be answered only by graphing or using a logarithm.