Concept explainers
(a)
To Find: The population change as the time increases.
(a)
Answer to Problem 5E
The population change as the time increases is described.
Explanation of Solution
Given:
The given diagram is shown in Figure 1
Figure 1
Calculation:
From the given figure the phase trajectory of the graph shows that the rabbit population starts at about 300, increases to value of 2400 and then increase back to 300. Thus, the fox population starts at 100 and it decreases to 20 and then again increases to 315 then back to 100 and then the cycle repeats.
(b)
To Find: The rough sketch of the graphs of R and the function F as the function of time.
(b)
Answer to Problem 5E
The required sketch is shown in Figure 2
Explanation of Solution
Calculation:
The rough sketch of the graph for R and F as the function of time as shown in Figure 2
Figure 2
Chapter 7 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
- find the zeros of the function algebraically: f(x) = 9x2 - 3x - 2arrow_forwardRylee's car is stuck in the mud. Roman and Shanice come along in a truck to help pull her out. They attach one end of a tow strap to the front of the car and the other end to the truck's trailer hitch, and the truck starts to pull. Meanwhile, Roman and Shanice get behind the car and push. The truck generates a horizontal force of 377 lb on the car. Roman and Shanice are pushing at a slight upward angle and generate a force of 119 lb on the car. These forces can be represented by vectors, as shown in the figure below. The angle between these vectors is 20.2°. Find the resultant force (the vector sum), then give its magnitude and its direction angle from the positive x-axis. 119 lb 20.2° 377 lbarrow_forwardAn airplane flies due west at an airspeed of 428 mph. The wind blows in the direction of 41° south of west at 50 mph. What is the ground speed of the airplane? What is the bearing of the airplane?arrow_forward
- A vector with magnitude 5 points in a direction 190 degrees counterclockwise from the positive x axis. Write the vector in component form, and show your answers accurate to 3 decimal places.arrow_forward||A||=23 45° Find the EXACT components of the vector above using the angle shown.arrow_forwardGiven ƒ = (10, -10) and q = (-8, −7), find ||ƒ— q|| and dƒ-9. Give EXACT answers. You do NOT have to simplify your radicals!arrow_forward
- Find a vector (u) with magnitude 7 in the direction of v = (2,4) Give EXACT answer. You do NOT have to simplify your radicals!arrow_forwardGiven g = (-5, 10) and u = (5, 2), find -4ğ - 6.arrow_forwardGiven the vector v→=⟨3,-5⟩, find the magnitude and angle in which the vector points (measured in radians counterclockwise from the positive x-axis and 0≤θ<2π). Round each decimal number to two places.arrow_forward
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning