Bundle: Single Variable Calculus: Early Transcendentals, Loose-leaf Version, 8th + Webassign Printed Access Card For Calculus, Multi-term Courses, Life Of Edition
18th Edition
ISBN: 9780357008034
Author: Stewart
Publisher: CENGAGE L
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Chapter D, Problem 62E
To determine
To evaluate: The expression
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The spread of an infectious disease is often modeled using the following autonomous differential equation:
dI
-
- BI(N − I) − MI,
dt
where I is the number of infected people, N is the total size of the population being modeled, ẞ is a constant determining the rate of
transmission, and μ is the rate at which people recover from infection.
Close
a) (5 points) Suppose ẞ = 0.01, N = 1000, and µ = 2. Find all equilibria.
b) (5 points) For the equilbria in part a), determine whether each is stable or unstable.
c) (3 points) Suppose ƒ(I) = d. Draw a phase plot of f against I. (You can use Wolfram Alpha or Desmos to plot the function, or draw the
dt
function by hand.) Identify the equilibria as stable or unstable in the graph.
d) (2 points) Explain the biological meaning of these equilibria being stable or unstable.
Find the indefinite integral.
Check
Answer:
7x
4 + 1x
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Chapter D Solutions
Bundle: Single Variable Calculus: Early Transcendentals, Loose-leaf Version, 8th + Webassign Printed Access Card For Calculus, Multi-term Courses, Life Of Edition
Ch. D - Prob. 1ECh. D - Prob. 2ECh. D - Prob. 3ECh. D - Prob. 4ECh. D - Prob. 5ECh. D - Prob. 6ECh. D - Prob. 7ECh. D - Prob. 8ECh. D - Prob. 9ECh. D - Prob. 10E
Ch. D - Prob. 11ECh. D - Prob. 12ECh. D - Prob. 13ECh. D - If a circle has radius 10 cm, find the length of...Ch. D - A circle has radius 1.5 m. What angle is subtended...Ch. D - Prob. 16ECh. D - Prob. 17ECh. D - Prob. 18ECh. D - Prob. 19ECh. D - Prob. 20ECh. D - Draw, in standard position, the angle whose...Ch. D - Prob. 22ECh. D - Prob. 23ECh. D - Find the exact trigonometric ratios for the angle...Ch. D - Prob. 25ECh. D - Prob. 26ECh. D - Prob. 27ECh. D - Prob. 28ECh. D - Prob. 29ECh. D - Prob. 30ECh. D - Prob. 31ECh. D - Prob. 32ECh. D - Prob. 33ECh. D - Prob. 34ECh. D - Find, correct to five decimal places, the length...Ch. D - Prob. 36ECh. D - Prob. 37ECh. D - Prob. 38ECh. D - Prob. 39ECh. D - Prob. 40ECh. D - Prob. 41ECh. D - Prob. 42ECh. D - Prob. 43ECh. D - Prob. 44ECh. D - Prob. 45ECh. D - Prob. 46ECh. D - Prob. 47ECh. D - Prob. 48ECh. D - Prove the identity. 49. cot2 + sec2 = tan2 + csc2Ch. D - Prob. 50ECh. D - Prob. 51ECh. D - Prob. 52ECh. D - Prob. 53ECh. D - Prob. 54ECh. D - Prob. 55ECh. D - Prob. 56ECh. D - Prob. 57ECh. D - Prob. 58ECh. D - Prob. 59ECh. D - Prob. 60ECh. D - If sinx=13 and secy=54, where x and y lie between...Ch. D - Prob. 62ECh. D - Prob. 63ECh. D - Prob. 64ECh. D - Prob. 65ECh. D - Prob. 66ECh. D - Prob. 67ECh. D - Prob. 68ECh. D - Prob. 69ECh. D - Prob. 70ECh. D - Prob. 71ECh. D - Prob. 72ECh. D - Prob. 73ECh. D - Prob. 74ECh. D - Find all values of x in the interval [0, 2] that...Ch. D - Find all values of x in the interval [0, 2] that...Ch. D - Prob. 77ECh. D - Prob. 78ECh. D - Prob. 79ECh. D - Prob. 80ECh. D - Prob. 81ECh. D - Prob. 82ECh. D - Prob. 83ECh. D - Prob. 84ECh. D - Prob. 85ECh. D - Prob. 86ECh. D - Use the addition formula for cosine and the...Ch. D - Prob. 88ECh. D - Prob. 89E
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- Find the indefinite integral. Check Answer: 7x 4 + 1x dxarrow_forwardQuestion 1: Evaluate the following indefinite integrals. a) (5 points) sin(2x) 1 + cos² (x) dx b) (5 points) t(2t+5)³ dt c) (5 points) √ (In(v²)+1) 4 -dv ขarrow_forwardFind the indefinite integral. Check Answer: In(5x) dx xarrow_forward
- Find the indefinite integral. Check Answer: 7x 4 + 1x dxarrow_forwardHere is a region R in Quadrant I. y 2.0 T 1.5 1.0 0.5 0.0 + 55 0.0 0.5 1.0 1.5 2.0 X It is bounded by y = x¹/3, y = 1, and x = 0. We want to evaluate this double integral. ONLY ONE order of integration will work. Good luck! The dA =???arrow_forward43–46. Directions of change Consider the following functions f and points P. Sketch the xy-plane showing P and the level curve through P. Indicate (as in Figure 15.52) the directions of maximum increase, maximum decrease, and no change for f. ■ 45. f(x, y) = x² + xy + y² + 7; P(−3, 3)arrow_forward
- EX-let d'be ametric on a vector space X induced from a norm hx and d defind by a Slab)= {od (a, if a = b (a,b)+is ab Show that cannot be induced froman norm on X. 2) let à be trivel metric show that I cannot be induced from an norm on X- 3) let M be closed subspace of anormed spacex Construct the space X/Mas a normed space. 4) let Mix be vector space of 2x3 matrices on R write with Prove convex set and hyper Plane of M 5) show that every a finite dimension subspace of anormed space is closed.arrow_forwardplease do #48arrow_forward43–46. Directions of change Consider the following functions f and points P. Sketch the xy-plane showing P and the level curve through P. Indicate (as in Figure 15.52) the directions of maximum increase, maximum decrease, and no change for f. ■ 45. f(x, y) = x² + xy + y² + 7; P(−3, 3)arrow_forward
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