26. A population P(t) of small rodents has birth rate ß =(0.001)P (births per month per rodent) and constant deathrate 8. If P(0) = 100 and P'(0) = 8, how long (in months)will it take this population to double to 200 rodents? (Sug-gestion: First find the value of 8.)

Answered: Image /qna-images/answer/e26d0cbd-79f6-4642-a880-7f1b5055090a.jpg

Answered: 26. A population P(t) of small rodents…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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If h(x) = 2x, then h'(3) = 5/9 Answers rounded to the nearest thousandth. a) 0.682 b) -0.054 c) -0.126 d) -3.766
7. A radioactive material, Whatsuppium (Wu) decays according to the equation W (t) = 120(1.21)-t/5, where W(t) is the amount remaining (in grams) after t years. What is the rate of change of Wu after 20 years? %3D Ans:
2. A population of deer is increasing at a rate of 5% a year. At t = 0 years, there are 98 deer in the population. (a) Using the information above, write a formula for the deer's population P = f(t). (b) Using your formula from (a), determine the approximate number of deer after 5 years have passed.
= 6(3) **2 9. Solve the equation а. ха 1.62 b. х 1.08 = c. x= -0.71 d. x= -0.25 10. A 25-g sample of a substance decays to 13 g in 14 years. The half-life of this substance is approximately а. 3.77 years b. 14.8 years c. 8.59 years d. 14.1 years 11. Evaluate, using the laws of logarithms. log, 512 + log, 8 а. 2 c. 6 d. 8 b. 4
15. A weightlifter can increase the weight W(x) that she can lift according to W(x) = 315(1.05)*, where x represents the number of training cycles completed. How much will she lift after 4 training cycles? A 365 lb B 383 lb C 378 lb D 402 lb 15. 16. BIOLOGY A certain fast-growing bacteria increases 6% per minute. If there are 100 bacteria now, about how many will there be 12 minutes later? F 172 G 201 J 190 H 48 17. POPULATION A city's population is about 954,000 and is decreasing at an annual rate of 0.1%. Predict the population in 50 years. A 577,176 B 906,300 C 1,002,888 16. D 907,450 17. 18. Find the third term of the sequence in which a₁ = 7 and an = -2an -1+11, if n ≥ 2. F-23 H 5 J 17 G-3 19. Find an explicit formula for α₁ = −4, αn = ɑn - 1 a an an A α = 9n 13 —- + 9, n ≥ 2. Can = 9n - 4 n B an = n + 9 Dα = -4n+9 n 20. Find a recursive formula for the arithmetic sequence 24, 32, 40, 48, an Fa₁ = 24, an = 8an - 1, n ≥ 2 1 α H a₁ = 24, a₁ = 1/4 an n- 1, n ≥ 2 3 α 1 n G a₁ = 24, a₁…

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26. A population P(t) of small rodents has birth rate ß = (0.001)P (births per month per rodent) and constant death rate 8. If P(0) = 100 and P'(0) = 8, how long (in months) will it take this population to double to 200 rodents? (Sug- gestion: First find the value of 8.)