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The population of a culture of bacteria has a growth rate given by p'(t) = - 205 bacteria per hour, for t2 0, where r> 1 is a real number. The increase in the population over the time interval [0,t] is given by p'(s)ds. (Note that the growth rate decreases in time, reflecting the competition (t + 1) o for food and space.) Complete steps (a) through (e) below. a. Using the population model with r = 2, what is the increase in the population over the time interval 0 s ts 6? The increase in the population over the given interval is approximately bacteria. (Round down to the nearest integer as needed.) O.. Screen Shot 2021-08-30 at 4.51.46 AM 1 - Q 2 1 / V E Q Q Search Use a change of variables to evaluate the following indefinite integral. Screen Shot 2021-08-30 at 5.09.54 AM |2x ( x2 - 4) 39 dx ... Screen Shot 2021-08-30 at 5.10.01 AM ~ Q Q 1 1 5 Q Q search 1 3 Q Q Search Determine a change of variables from x to u. Choose the correct answer below. Use two or more substitutions to find the following integral. If necessary, use two or more substitutions to find the following integral. O A. u= (x2 - 4) 99 dx dx (Hint: Begin with u = 16+ x.) OB. U=x2 (Hint: Begin with u = 16 + x.) 15 + 16+x (3 + 16+x XC. u = 2x Find du. D. U=X2 - 4 dx du = dx 13+ 16+x Write the integral in terms of u. (Type an exact answer, using radicals as needed.) (Type an exact answer, using radicals as needed.) [ 2x ( x2-4) 80 ax = [() du