3. The rate at which a population of rabbits is growing is described by P \"(0 = 3e'v3*2+ 0.6t 0 s t s 5 hunderd rabbits/month. a. Use the rectangles drawn in the diagram below to approximate the number of rabbits added to the population from the end ofthe 15*month to the end ofthe 4\"? month. Use P0(t) to calculate your function values. Note the number of rectangles. Forfull credit, write out a complete Riemann Sum showing each height value. Approximate each function value to 4 decimal digits. Round your final answerto 2 decimal digits and write a sentence giving the answer in the context of the problem. .1: H r: O _ E \"5-. in 3: .D .D a L '9 U '0 c :3 .C Approximate the total number of rabbits added to the population from the end ofthe 2\"d month to the end ofthe 4\"? month using 8 left endpoint rectangles. Draw the appropriate rectangles on the graph on page 4. On your work paper, show your work forfinding this approximation. Forfull credit, write out a complete Riemann Sum showing each height value. Approximate each function value to 4 decimal digits. Round your final answer to 2 decimal digits and include units. Write a definite integral that represents the total number of rabbits added to the population from the end ofthe lstmonth to the end of 5\"1 month. Shade in the region on the graph on page 4 that corresponds to this definite integral. Do not try to find the exact number of rabbits. DO NOT EVALUATE THIS INTEGRAL