10. The slope of the tangent line to a curve y = f(x) is given by f'(x)=4x+6x +3. If the point (-1,5) is on the curve of y = f(x), find the equation of the curve. 11. Suppose that a population of bacteria grows at a rate after 7 days is given by P'(t)= When = 1, the population is 40,000. Find the population function P(t) at time t. 12. Estimate the area of the region under the curve of f(x) = equal subintervals and (a) the left sum (b) the right sum. 1 1+x 1000 for t1. t over the interval [2, 4], using four 10 13. For the definite integral [ In(2x+1) dx, find (a) the left sum (b) the right sum using a subdivision of the interval [1, 10] into 3 equal subintervals.