the population will :decrease and level offincrease without limitincrease and level offdecrease without limit dpThe logistic equation for the population (in thousands) of a certain species is given by = 5p-4p². Complete parts (a) through (d).(a) Sketch the direction field by using either a computer software package or the method of isoclines.Choose the correct answer below.O A.QQB.ApIf p(0) = 1.7, then lim p(t)=. The population willt→ +00TITAXXXXi1|||(b) If the initial population is 1700 [that is, p(0) = 1.7], what can be said about the limiting population lim p(t)?QQGOC.Q

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Answered: dp dt The logistic equation for the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Use excel to make the calculations One product has a holding cost of $250 per year. This product can be shipped in either 3 or 8 day shipping, with the faster shipping costing $2 more per product. Using the slower method would be how much more expensive per product than the faster method? Auto sales over a 4-month period were forecasted as follows: 89, 98, 105, and 97. The actual results over the 4-month period were as follows: 92, 96, 101, and 100. What was the MAD of the 4-month forecast? The errors in a particular forecast are as follows: 3, -3, 4, 0, -2. What is the tracking signal for each period of the forecast?
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Music camp enrollment during summer 1995 was 184 students. Over the years, the camp became more popular and in 2013, the enrollment had increased to 1,318 students. Assuming this increase was linear, calculate the rate at which the enrollment had increased. The rate at which the enrollment had increased is____students per year.
Extra Problem A student is speeding down Highway 16 in her fancy red Porsche when her radar system warns her of an obstacle 400 feet ahead. She immediately applies the brakes, starts to slow down, and spots a skunk in the road directly ahead of her. The "black box" in the Porsche records the car's speed every two seconds, producing the following table. The speed decreases throughout the 10 seconds it takes to stop, although not necessarily at a uniform rate. Time since brakes applied (sec) 0 2 4 6 8 10 Speed (ft/sec) 105 85 55 20 15 0 A. What is your best estimate of the total distance the student's car traveled before coming to rest (note that the best estimate is probably not the over or under estimate that you can most easily find, use the trapezoidal approximation)? distance = B. Given the fact that the Porsche slows down during breaking, give a sharp i. underestimate of the distance traveled: ii. overestimate of the distance traveled: C. Which one of the following statements can…
A categorical variable is a continuous variable. Select one: a. False b. True
Fill in the blank with a type of variable: categorical dichotomous, categorical, ordinal, interval, scale, numerical continuous, or numerical discrete. Use one time each. Variable Information Type of Variable (categorical dichotomous, categorical, interval, scale, ordinal, numerical continuous, or numerical discrete.) Use one time each. Age (0.1-99.9 years old) NUMERICAL DISCRETE Physical Activity (0-1x a week, 2-3x a week, 4x or more a week) Flu Shot (yes, no) CATEGORICAL DICTHOTOMOUS Number of Physical Therapy Appointments (1,2,3,4,5) Race (White, Black, Asian, Other) CATEGORICAL Iron mg (0, 2 mg, 4, mg, 8, mg 16 mg, 32, mg) Alcoholic drinks per week (0-2, 3-5, 6-8)
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Español Weber's law, a concept taught in most Introduction to Psychology courses, states that the ratio of the intensity of a stimulus to the "just noticeable" increment in intensity is constant, that is, the ratio doesn't depend on the intensity of the stimulus. The ratio is called the "Weber fraction," so a concise statement of Weber's law is that "the Weber fraction is constant, regardless of the stimulus intensity." It turns out that Weber's law is not so much a law as it is a rule of thumb, since it is violated in many situations. For instance, for some auditory stimuli, the Weber fraction does depend systematically on the stimulus intensity. The following bivariate data are the experimental data obtained for one listener in an auditory intensity discrimination task. For each of the ten stimulus intensities x (in decibels), the Weber fraction y (in decibels) is shown. Figure 1 is a scatter plot of the data. Also given is the product of the stimulus intensity and the Weber fraction…
After an election, of those surveyed, 56 percent voted for the Democrat candidate, 39 percent voted for the Republican candidate, and 5 percent voted for the independent candidate for governor. Respectively, 56 percent, 48 percent, and 64 percent of those surveyed also voted for the first proposition on the ballot. For those surveyed, ______________ percent of them voted for the first proposition on the ballot. Your answer should be to 4 decimal places.
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