Concept explainers
Exercises 9-14 refer to the predator-prey and the modified predator-prey systems discussed in the text (repeated here for convenience):
(i)
(ii)
14. Suppose prey move out of an area at a rate proportional to the number of predator in the area. How would you modify these systems to take this into account?
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Chapter 2 Solutions
DIFFERENTIAL EQUATIONS-ACCESS
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- Find ( a x b) x c if Q2. a =i-2j+k, b=i+2j-4k, c=2i – 3j +karrow_forwardRearrange the following equations to express x as the subject of the equation: 3 I- 4967 5 (a) (b) 4y-3x = 7 (c) (d) xy +zy-xz = 0 4x 22-3y +- = 0 yarrow_forwardThe dosage for a certain type of chemotherapy drug depends on several parameters of the particular drug as well as the age, weight, and sex of the patient. For female patients, the formulas giving W the dosage for such drugs are D = 0.85A(c +25) and c = (140-y) 72x where A and x depend on which drug is used, D is the dosage in milligrams (mg), c is called the creatine clearance, y is the patient's age in years, and w is the patient's weight in kilograms. Complete parts (a) through (e) below. a) Suppose that a patient is a 47-year-old woman and the drug has parameters A=3 and x=0.5. Use this information to write formulas for D and c that give D as a function of c, and c as a function of w. D(c) = c(w) = (Simplify your answers. Round to three decimal places as needed.) ctor tune URL Clear all Check answerarrow_forward
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