dp 1, 000 1. Suppose a population of bacteria is changing at a rate of at = 1 + 0.5t , where t is the time in days. The initial population (when t = 0) is 600. Write an equation that gives the population at any time t. a. p(t) = 2,000 In| 1 + 0.5t | + 300 b. p(t) = 1,000 In| 1 + 0.5t | + 600 c. p(t) = 1,000 In| 1 + 0.5t | + 300 d. p(t) = 2,000 In| 1 + 0.5t | + 600\fdy secex 10. Find the solution of the differential equation dx * tan x + 1 Which passes through the point (17, 5). a, y = In [tan x + 1| +5 b. y = 21n |sec x + 1/ c. Y = In [tan x + 1/ d, y = 5ln (tan x +1|\f13. Use the error formula to estimate the error in approximationg the integral "3 cos xdx with n = 6 using Simpson's Rule. a. 0.007084 b. 0. 141676 c. 0.004723 d. 0.003936 14. 1( x ) dx = - S 1 ( x) dx g (x) g(x) dx is a property of integrals. a. True b. False