CALCULUS+ITS...,EXP.(LL)-W/CODE NVCC
19th Edition
ISBN: 9780136572671
Author: BITTINGER
Publisher: PEARSON C
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Chapter PSDT, Problem 11BP
To determine
To Find: The equation of line with given slope.
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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
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d) (2 points) Explain the biological meaning of these equilibria being stable or unstable.
Find the indefinite integral.
Check
Answer:
7x
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dx
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Chapter PSDT Solutions
CALCULUS+ITS...,EXP.(LL)-W/CODE NVCC
Ch. PSDT - Write an equivalent expression for each of the...Ch. PSDT - Write an equivalent expression for each of the...Ch. PSDT - Write an equivalent expression for each of the...Ch. PSDT - Write an equivalent expression for each of the...Ch. PSDT - Write an equivalent expression for each of the...Ch. PSDT - Write an equivalent expression for each of the...Ch. PSDT - Write an equivalent expression for each of the...Ch. PSDT - Prob. 8APCh. PSDT - Multiply. 9. x5x6Ch. PSDT - Multiply. 10. x2x9
Ch. PSDT - Multiply. 11. 2x35x44x10Ch. PSDT - Divide. 12. a2a2Ch. PSDT - Divide. 13. b3b5Ch. PSDT - Simplify. Express each answer without a negative...Ch. PSDT - Simplify. Express each answer without a negative...Ch. PSDT - Multiply. 16. 3x5Ch. PSDT - Multiply. 17. x5x+3Ch. PSDT - Prob. 18APCh. PSDT - Prob. 19APCh. PSDT - Prob. 20APCh. PSDT - Prob. 21APCh. PSDT - Prob. 22APCh. PSDT - Factor. 23. x25x14Ch. PSDT - Factor. 24. 6x2+7x5Ch. PSDT - Prob. 25APCh. PSDT - Prob. 26APCh. PSDT - Solve. 27. 3x(x2)(5x+4)=0Ch. PSDT - Solve. 28. 4x3=xCh. PSDT - Solve. 29. 2xx36x=18x23xCh. PSDT - Solve 30. 178x5x4Ch. PSDT - Prob. 31APCh. PSDT - Raggs, Ltd., a clothing firm, determines that its...Ch. PSDT - Prob. 1BPCh. PSDT - Prob. 2BPCh. PSDT - Graph. 3. y=x21Ch. PSDT - Prob. 4BPCh. PSDT - Prob. 5BPCh. PSDT - Prob. 6BPCh. PSDT - Graph the function f:...Ch. PSDT - Write interval notation for x4x5.Ch. PSDT - Find the domain of f:f(x)=32x5.Ch. PSDT - Find the slope and y-intercept of the graph of...Ch. PSDT - Prob. 11BPCh. PSDT - Find the slope of the line containing the points...Ch. PSDT - Prob. 13BPCh. PSDT - Prob. 14BPCh. PSDT - Prob. 15BPCh. PSDT - Graph. 16. g(x)=x3Ch. PSDT - Prob. 17BPCh. PSDT - Prob. 18BPCh. PSDT - Graph. 19. f(x)=xCh. PSDT - Suppose that $1000 is earning 5 interest,...
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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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