Use Laplace transforms to obtain the solution to the following initial value problem: (25 points) Y 00 + 4Y 0 + 4Y = f(t), Y (0) = 2, Y 0 (0) = 4 where f(t) =    t if t < 1 2t − 1 if 1 ≤ t

Use the function value to find the indicated trigonometric value in the specified quadrant.function value quadrant trigonometric valuecsc(θ) = −4 iv cot(θ)cot(θ)=?

The revenue generated by a bakery over x months, in thousands of dollars, is given by the function f(x) = 2(1.2)* the cost of running the bakery forx months, in thousands of dollars, is given by the function g(x) = 2x + 1.4determine the equation for h if h(x) = f(x) - g(x).oa. m(x) = (1-2)*-x-07b.(x) = 2(1 2 - 2x -0.7)h(x) = -2((1.2) + x + 0.7)d.h(x) = 2((12) - x-0.7)

The volume of a cube is 8 in to the 3rd power. how long is each side?