a) The population of an animal species (in thousands of individuals after t years] is given by a N(t)=r 45:2 +9r+10 During what time interval is the population size declining? Use the appropriate calculus techniques to determine the answer, showing your work {i.e. just looking at a Desmos graph does not get you any points]. h) The monthly output at a company Q is based on the size of its lahour investment \"x" and capital investment \"y". Suppose output is given by the equation Q = W3. labour investment is currentlyx = 2 and decreasing at a rate of 0.], whereas capital investment is currently y = 3 and increasing at a rate of 0.2. Find the rate of change of the monthly output at this point in time. Show all work