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

correct answers below:

i believe the correct answer is option 4.principalities were small territories that were run by russian rulers.

which statement correctly defines principalities in northern asia in the 1200s? principalities were small territories that were run by russian rulers.

hope i could ! : )

a28=58

step-by-step explanation:

a1=a1+(n-1)d

a28= 4+ (28-1)2

a28=4+(27)(2)

a28=4+54

a28=58

168

step-by-step explanation:

first off, we know that he drove 3.5 hours at a rate of 48 mph.

knowing that, we want to see how many miles he drove all-together.

in this case, we can just multiply 48 by 3.5.

48 * 3.5 = 168