Solve the following problems. Show your solution on a separate paper and attach in the class work. 1. Find the slope and the equation of the tangent line to the curve y = x - 4x + 7 at the point (-2,7). 2. The annual inventory cost C for a manufacturer is given by C = 2.000,000 + 500, where x is the number of items that are ordered each time. Find C (200)? C' (200) and interpret the result. 3. The equation s(t) = 3t" + 5t + 2 describes the motion of the particle with units in meters. Find (a) the velocity function, (b) the instantaneous velocity at t = 4 seconds. 4. Mr. San Pedro wants to know the level of oxygen in his pond : weeks after organic waste is dumped into it. He finds the oxygen level can be modeled by the function f(t) = 20 -31+5 At what rate is the oxygen level changing when t = 3 weeks. 1+1