WebAssign Printed Access Card for Larson's Calculus: An Applied Approach, 10th Edition, Single-Term
10th Edition
ISBN: 9781337652308
Author: Ron Larson
Publisher: Brooks Cole
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Chapter A3, Problem 8E
To determine
To calculate: The value of 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
dx
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Chapter A3 Solutions
WebAssign Printed Access Card for Larson's Calculus: An Applied Approach, 10th Edition, Single-Term
Ch. A3 - Checkpoint 1 Worked-out solution available at...Ch. A3 - Prob. 2CPCh. A3 - Prob. 3CPCh. A3 - Prob. 4CPCh. A3 - Prob. 5CPCh. A3 - Prob. 6CPCh. A3 - Prob. 7CPCh. A3 - Prob. 1ECh. A3 - Prob. 2ECh. A3 - Prob. 3E
Ch. A3 - Prob. 4ECh. A3 - Prob. 5ECh. A3 - Prob. 6ECh. A3 - Prob. 7ECh. A3 - Prob. 8ECh. A3 - Prob. 9ECh. A3 - Prob. 10ECh. A3 - Prob. 11ECh. A3 - Prob. 12ECh. A3 - Prob. 13ECh. A3 - Prob. 14ECh. A3 - Prob. 15ECh. A3 - Prob. 16ECh. A3 - Prob. 17ECh. A3 - Evaluating Expressions In Exercises 1-20, evaluate...Ch. A3 - Prob. 19ECh. A3 - Prob. 20ECh. A3 - Prob. 21ECh. A3 - Prob. 22ECh. A3 - Prob. 23ECh. A3 - Prob. 24ECh. A3 - Simplifying Expressions with Exponents In...Ch. A3 - Prob. 26ECh. A3 - Prob. 27ECh. A3 - Prob. 28ECh. A3 - Prob. 29ECh. A3 - Prob. 30ECh. A3 - Prob. 31ECh. A3 - Prob. 32ECh. A3 - Prob. 33ECh. A3 - Prob. 34ECh. A3 - Prob. 35ECh. A3 - Prob. 36ECh. A3 - Prob. 37ECh. A3 - Prob. 38ECh. A3 - Prob. 39ECh. A3 - Prob. 40ECh. A3 - Prob. 41ECh. A3 - Prob. 42ECh. A3 - Prob. 43ECh. A3 - Prob. 44ECh. A3 - Prob. 45ECh. A3 - Prob. 46ECh. A3 - Prob. 47ECh. A3 - Prob. 48ECh. A3 - Prob. 49ECh. A3 - Prob. 50ECh. A3 - Prob. 51ECh. A3 - Prob. 52ECh. A3 - Prob. 53ECh. A3 - Prob. 54ECh. A3 - Prob. 55ECh. A3 - Prob. 56ECh. A3 - Prob. 57ECh. A3 - Prob. 58E
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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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