18. [-15 Points] DETAILS LARCALCET7 5.7.091.MI. MY NOTES ASK YOU A population of bacteria P is...
Differential Equations -13 points BoyceDiffEQ10 1.2.007. Ask Your T My Notes A given field mouse population satisfies the differential equation dp 0.2p-310 dt where p is the number of mice and t is the time in months. (a) Find the time at which the population becomes extinct if p(o) 1520. (Round your answer to two decimal places.) month(s) 25.12 (b) Find the time of extinction if p(o) - po, where o< po< 1550. 25.22 month(s) (c) Find the initial population...
2. [-75 Points] DETAILS SCALCCC4 7.5.007.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The population of the world was about 5.3 billion in 1990. Birth rates in the 1990s ranged from 35 to 40 million per year and death rates ranged from 15 to 20 million per year. Let's assume that the carrying capacity for world population is 100 billion. (Assume that the difference in birth and death rates is 20 million/year 0.02 billion/year.) (a) Write the logistic differential equation...
1. [-75 Points] DETAILS LARCALCET7 5.1.044. MY NOTES ASK Find the particular solution of the differential equation that satisfies the initial condition(s). (Remember to use absolute values where appropriate.) 5 f"(x) x2 f'(1) = 6, f(1) = 5 = f(x) = Submit Answer
The rate of growth dP/dt of a population of bacteria is proportional to the square root of t with a constant coefficient of 8, where P is the population size and t is the time in days (0≤ t ≤ 10). The initial size of the population is 200. Approximate the population after 7 days. Round the answer to the nearest integer.
11. [-75 Points] DETAILS LARCALCET7 5.2.021. MY NOTES ASK YOUR TEACHER Use the properties of summation and the Summation Formulas Theorem to evaluate the sum. Use the summation capabilities of a graphing utility to verify your result. 27 Eli - 1) ŽV- i = 1
8. [-75 Points] DETAILS LARCALCET7 5.4.045. MY NOTES ASK YOUR TEACHER Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the given interval. (Enter your answers as a comma-separated list.) f(x) = x8, [0, 8] C =
9. DETAILS ZILLDIFFEQMODAP11 7.2.037.MI. MY NOTES ASK YOUR TEACHER Use the Laplace transform to solve the given initial-value problem. y' + 5y = e6t, y(0) = 2 y(t) =
1. (-/1 Points) DETAILS KATZPSEF1 28.P.053.MI. MY NOTES ASK YOUR TEACHER PR A 60.0-W lightbulb is connected to a 220.0-V source. (a) What is the current through the bulb? (b) What is the internal resistance of the bulb? Need Help? Read it Master It Submit Answer 2. (-/1 Points] DETAILS KATZPSEF1 28.P.063. MY NOTES ASK YOUR TEACHER PR The USB charger for a smartphone delivers 520.0 mA of current at 5.10 V while charging the phone. What is the power...
12. [-/2.5 Points] DETAILS SERCP11 1.7.P.039.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A point is located in a polar coordinate system by the coordinates r - 4.6 m and 8 - 24. Find the x- and y-coordinates of this point, assuming that the two coordinate systems have the same origin. m y = וח Need Help? Master it 13. [-/2.5 Points] DETAILS SERCP11 1.7.P.040. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A certain corner of a room is selected...
ASK YOUR TEACHE DETAILS 10. [-/1 Points] MY NOTES TANAPCALCBR10 6.3.013.MI. Find an approximation of the area of the region under the graph of the function on the interval (0, 2). Usen - 5 subintervals. Choose the representative points to be the midpoints of the subintervals. Rx) x² +2 square units MY NOTES ASK YOUR TEACHE 11. [-/1 Points) DETAILS TANAPCALCBR10 6.4.011. Find the area of the region under the graph of the function on the interval [1, 9). FX)...