Question

3. A plant produces starch dependig on the intensity of heat it receives during the day. Assume the rate of starch production of the plant is 2 grams per hour dt +t where time t is measured in hours and S(t) is the amou noon each day (time t = o is noon, t-1 is 1pm and so on). of starch produced t hours after a. Estimate the tot al change in S(t) between 1pm and 3pm using the right-hand Riemann sum with Δι-0.5. Draw your rectangles or step functions on the figure below. Note that Riemann is the name of a man who pretended that the rate of change was constant on small intervals and used this idea to estimate changes in amount. This is the same procedure as question 2c. 20T ds dt 4t b. Find the eract area under the curve-e between times t = 1 and t = 3 using integration with w-substitution (some call this u-substitution).

Answer 1