(a) A particle starts by moving to the right along a horizontal line; the graph of its position function is shown in the figure.s (meters)3t(seconds)1.34For which of the following time intervals is the particle moving to the right? (Select all that apply.)V (0, 1)(1, 2)O (2, 3)(3, 4)(4, 6)For which of the following time intervals is the particle moving to the left? (Select all that apply.)(0, 1)O (1, 2)V (2, 3)O (3, 4)O (4, 6)For which of the following time intervals is the particle standing still? (Select all that apply.)O (0, 1)O (1, 2)O (2, 3)O (3, 4)O (4, 6)(b) Draw a graph of the velocity function.Graph LayersAfter you add an object to the graph youcan use Graph Layers to view and edit itsproperties.FillNoSolutionO HelpWebAssign. Graphing Tool

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Answered: (a) A particle starts by moving to the…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.7: Operations On Functions

Problem 50E

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Population Growth The game commission introduces 100 deer into newly acquired state game lands. The population N of the herd is modeled by N=20(5+3t)1+0.04t, t0 where t is the time in years. (a) Use a graphing utility to graph this model. (b) Find the populations when t=5, t=10 , and t=25. (c) What is the limiting size of the herd as time increases?
Decay of Litter Litter such as leaves falls to the forest floor, where the action of insects and bacteria initiates the decay process. Let A be the amount of litter present, in grams per square meter, as a function of time t in years. If the litter falls at a constant rate of L grams per square meter per year, and if it decays at a constant proportional rate of k per year, then the limiting value of A is R=L/k. For this exercise and the next, we suppose that at time t=0, the forest floor is clear of litter. a. If D is the difference between the limiting value and A, so that D=RA, then D is an exponential function of time. Find the initial value of D in terms of R. b. The yearly decay factor for D is ek. Find a formula for D in term of R and k. Reminder:(ab)c=abc. c. Explain why A=RRekt.
A Population of Foxes A breeding group of foxes is introduced into a protected area, and the population growth follws a logistic pattern. After t years, the population of foxes is given by N=37.50.25+0.76t foxes. a. How many foxes were intorduced into the protected area? b. Make a graph of N versus t and explain in words how the populatoin of foxes increases with time. c. When will the fox population reach 100 individuals?
Water Flea F. E Smith has reported on population growth of the water flea. In one experiment, he found that the time t, in days, required to reach a population of N is given by the relation e0.44t=NN0(228N0228N)4.46. Here N0 is the initial population size. If the initial population size is 50, how long is required for the population to grow to 125?
Stopping distance, The stopping distance of an automobile is the distance travelled during the driver’s reaction time plus the distance travelled after the driver applies the brakes. In an experiment, researchers measured these distances (in feet) when the automobile was traveling at a speed of x. miles per hour on dry, level pavement, as shown in the bar graph. The distance travelled during the reaction time R was R=1.1x and the braking distance B was B=0.0475x20.001x+0.23. (a) Determine the polynomial that represents the total stopping distance T. (b) Use the result of part (a) to estimate the total stopping distance when x=30,x=40, andx=55 miles per hour. (c) Use the bar graph to make a statement about the total stopping distance required forincreasing speeds.

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(a) A particle starts by moving to the right along a horizontal line; the graph of its position function is shown in the figure. s (meters) 6 4 t (seconds) 1 2 3 4 5 6 7 For which of the following time intervals is the particle moving to the right? (Select all that apply.) 705 321