Suppose that a certain population satisfies the initial value problem dy/dt = r(t)y − k, y(0) = y0, where the growth rate r(t) is given by r(t) = (1 + sin t)/5, and k represents the rate of predation. (a) Suppose that k = 1/5. Plot y versus t for several values of y0 between 1/2 and 1. (b) Estimate the critical initial population yc below which the population will become extinct. (c) Choose other values of k and find the corresponding yc for each one. (d) Use the data you have found in parts (b) and (c) to plot yc versus k

answer: since the question is talking about growth you have to use the growth formula which is inital amount (1 + growth)^time

step-by-step explanation:

the intial amount is 1200, the growth is 4.8, and the time is 7. plug those numbers into the equation, also i think you have to change 4.8 into a percent. but, i have forgotton how to do that. if this is a online class go on to the lesson.

5   1/4   miles per hour

step-by-step explanation:

15   3/4 / 3 = 5   1/4

step-by-step explanation:

no, her answer is not correct.   we square the lengths of all sides and then determine whether the pythagorean theorem holds here:

9² + 15² = 306.   this is not equal to the square of the longest side ( that square being 395.   answer c is correct.

8

step-by-step explanation: