College Algebra
10th Edition
ISBN: 9781337282291
Author: Ron Larson
Publisher: Cengage Learning
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Chapter 4, Problem 11RE
To determine
To calculate: The average cost per unit
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College Algebra
Ch. 4.1 - Find the domain of f(x)=3xx1 and discuss the...Ch. 4.1 - Find all vertical and horizontal asymptotes of the...Ch. 4.1 - Prob. 3ECPCh. 4.1 - The cost C (in millions of dollars) of removing...Ch. 4.1 - A business has a cost function of C=0.4x+8000,...Ch. 4.1 - Fill in the blanks. A is a quotient of polynomial...Ch. 4.1 - Fill in the blanks. When fxasxafrom the left or...Ch. 4.1 - Fill in the blanks. When fxbas x, y=bis a of the...Ch. 4.1 - The graph of fx=1/x is a .Ch. 4.1 - Finding the Domain of a Rational Function In...
Ch. 4.1 - Finding the Domain of a Rational Function In...Ch. 4.1 - Prob. 7ECh. 4.1 - Prob. 8ECh. 4.1 - Prob. 9ECh. 4.1 - Finding the Domain of a Rational Function In...Ch. 4.1 - Finding the Domain of a Rational Function In...Ch. 4.1 - Finding the Domain of a Rational Function In...Ch. 4.1 - Finding Vertical and Horizontal Asymptotes In...Ch. 4.1 - Finding Vertical and Horizontal Asymptotes In...Ch. 4.1 - Finding Vertical and Horizontal Asymptotes In...Ch. 4.1 - Finding Vertical and Horizontal Asymptotes In...Ch. 4.1 - Finding Vertical and Horizontal Asymptotes In...Ch. 4.1 - Finding Vertical and Horizontal Asymptotes In...Ch. 4.1 - Finding Vertical and Horizontal Asymptotes In...Ch. 4.1 - Prob. 20ECh. 4.1 - Finding Vertical and Horizontal Asymptotes In...Ch. 4.1 - Finding Vertical and Horizontal Asymptotes In...Ch. 4.1 - Finding Vertical and Horizontal Asymptotes In...Ch. 4.1 - Finding Vertical and Horizontal Asymptotes In...Ch. 4.1 - Finding Vertical and Horizontal Asymptotes In...Ch. 4.1 - Finding Vertical and Horizontal Asymptotes In...Ch. 4.1 - Finding Vertical and Horizontal Asymptotes In...Ch. 4.1 - Finding Vertical and Horizontal Asymptotes In...Ch. 4.1 - Matching In Exercises 29-36, match the rational...Ch. 4.1 - Matching In Exercises 29-36, match the rational...Ch. 4.1 - Matching In Exercises 29-36, match the rational...Ch. 4.1 - Matching In Exercises 29-36, match the rational...Ch. 4.1 - Matching In Exercises 29-36, match the rational...Ch. 4.1 - Matching In Exercises 29-36, match the rational...Ch. 4.1 - Matching In Exercises 29-36, match the rational...Ch. 4.1 - Matching In Exercises 29-36, match the rational...Ch. 4.1 - Numerical Analysis In Exercises 37-40, In this...Ch. 4.1 - Numerical Analysis In Exercises 37-40, In this...Ch. 4.1 - Prob. 39ECh. 4.1 - Numerical Analysis In Exercises 37-40, In this...Ch. 4.1 - Recycling The cost C (in dollars) of supplying...Ch. 4.1 - Ecology The cost C (in millions of dollars) of...Ch. 4.1 - Population Growth The game commission introduces...Ch. 4.1 - Biology A science class performs an experiment...Ch. 4.1 - Psychologists have developed mathematical models...Ch. 4.1 - Physics Experiment Consider a physics laboratory...Ch. 4.1 - The graph of a polynomial function can have...Ch. 4.1 - Prob. 48ECh. 4.1 - Prob. 49ECh. 4.1 - The graph of a rational function f(x)=N(x)D(x)is...Ch. 4.1 - Prob. 51ECh. 4.1 - Prob. 52ECh. 4.1 - Prob. 53ECh. 4.1 - Prob. 54ECh. 4.1 - Prob. 55ECh. 4.1 - Prob. 56ECh. 4.1 - Prob. 57ECh. 4.1 - Prob. 58ECh. 4.2 - Sketch the graph of f(x)=1x+3and state its domain.Ch. 4.2 - Prob. 2ECPCh. 4.2 - Prob. 3ECPCh. 4.2 - Prob. 4ECPCh. 4.2 - Prob. 5ECPCh. 4.2 - Prob. 6ECPCh. 4.2 - Prob. 1ECh. 4.2 - Prob. 2ECh. 4.2 - Prob. 3ECh. 4.2 - Prob. 4ECh. 4.2 - Prob. 5ECh. 4.2 - Prob. 6ECh. 4.2 - Prob. 7ECh. 4.2 - Prob. 8ECh. 4.2 - Prob. 9ECh. 4.2 - Prob. 10ECh. 4.2 - Prob. 11ECh. 4.2 - Prob. 12ECh. 4.2 - Prob. 13ECh. 4.2 - Prob. 14ECh. 4.2 - Sketching the Graph of a Rational Function In...Ch. 4.2 - Prob. 16ECh. 4.2 - Sketching the Graph of a Rational Function In...Ch. 4.2 - Prob. 18ECh. 4.2 - Sketching the Graph of a Rational Function In...Ch. 4.2 - Prob. 20ECh. 4.2 - Sketching the Graph of a Rational Function In...Ch. 4.2 - Prob. 22ECh. 4.2 - Sketching the Graph of a Rational Function In...Ch. 4.2 - Prob. 24ECh. 4.2 - Sketching the Graph of a Rational Function In...Ch. 4.2 - Prob. 26ECh. 4.2 - Sketching the Graph of a Rational Function In...Ch. 4.2 - Prob. 28ECh. 4.2 - Prob. 29ECh. 4.2 - Prob. 30ECh. 4.2 - Prob. 31ECh. 4.2 - Prob. 32ECh. 4.2 - Sketching the Graph of a Rational Function In...Ch. 4.2 - Prob. 34ECh. 4.2 - Sketching the Graph of a Rational Function In...Ch. 4.2 - Prob. 36ECh. 4.2 - Sketching the Graph of a Rational Function In...Ch. 4.2 - Prob. 38ECh. 4.2 - Prob. 39ECh. 4.2 - Prob. 40ECh. 4.2 - Sketching the Graph of a Rational Function In...Ch. 4.2 - Prob. 42ECh. 4.2 - Prob. 43ECh. 4.2 - Prob. 44ECh. 4.2 - Prob. 45ECh. 4.2 - Prob. 46ECh. 4.2 - Prob. 47ECh. 4.2 - Prob. 48ECh. 4.2 - A Rational Function with a Slant Asymptote In...Ch. 4.2 - Prob. 50ECh. 4.2 - In this question, (a) state the domain of the...Ch. 4.2 - Prob. 52ECh. 4.2 - In Exercises 47-62, (a) state the domain of the...Ch. 4.2 - In Exercises 47-62, (a) state the domain of the...Ch. 4.2 - Prob. 55ECh. 4.2 - Prob. 56ECh. 4.2 - Prob. 57ECh. 4.2 - Prob. 58ECh. 4.2 - Prob. 59ECh. 4.2 - Prob. 60ECh. 4.2 - Prob. 61ECh. 4.2 - Prob. 62ECh. 4.2 - Prob. 63ECh. 4.2 - Prob. 64ECh. 4.2 - Prob. 65ECh. 4.2 - Prob. 66ECh. 4.2 - Prob. 67ECh. 4.2 - Prob. 68ECh. 4.2 - Prob. 69ECh. 4.2 - Prob. 70ECh. 4.2 - Prob. 71ECh. 4.2 - Prob. 72ECh. 4.2 - Prob. 73ECh. 4.2 - Prob. 74ECh. 4.2 - Prob. 75ECh. 4.2 - Prob. 76ECh. 4.2 - Prob. 77ECh. 4.2 - Prob. 78ECh. 4.2 - Prob. 79ECh. 4.2 - Page Design A rectangular page contains 64square...Ch. 4.2 - A page that is x inches wide and y inches high...Ch. 4.2 - Concentration of a Mixture A 1000-liter tank...Ch. 4.2 - Prob. 83ECh. 4.2 - Prob. 84ECh. 4.2 - Prob. 85ECh. 4.2 - Prob. 86ECh. 4.2 - Prob. 87ECh. 4.2 - Prob. 88ECh. 4.2 - Average Speed A driver’s average speed is 50 miles...Ch. 4.2 - Medicine The concentration Cof a chemical in the...Ch. 4.2 - Prob. 91ECh. 4.2 - Prob. 92ECh. 4.2 - Prob. 93ECh. 4.2 - Prob. 94ECh. 4.2 - Prob. 95ECh. 4.2 - Prob. 96ECh. 4.2 - Writing and Graphing a Rational Function Write a...Ch. 4.2 - Prob. 98ECh. 4.2 - Prob. 99ECh. 4.3 - Find the focus and directrix of the parabola...Ch. 4.3 - Find the standard form of the equation of the...Ch. 4.3 - Prob. 3ECPCh. 4.3 - Prob. 4ECPCh. 4.3 - Prob. 5ECPCh. 4.3 - Prob. 6ECPCh. 4.3 - Prob. 7ECPCh. 4.3 - Fill in the blanks. A is the intersection of a...Ch. 4.3 - Prob. 2ECh. 4.3 - Fill in the blanks. A is the set of all points...Ch. 4.3 - Fill in the blanks. The line that passes through...Ch. 4.3 - Fill in the blanks. An is the set of all points...Ch. 4.3 - Fill in the blanks. The chord joining the vertices...Ch. 4.3 - Fill in the blanks. A is the set of all points...Ch. 4.3 - Fill in the blanks. The line segment connecting...Ch. 4.3 - Matching In Exercises 9-14, this question, match...Ch. 4.3 - Matching In Exercises 9-14, match the equation...Ch. 4.3 - Matching In Exercises 9-14, match the equation...Ch. 4.3 - Matching In Exercises 9-14, this question, match...Ch. 4.3 - Matching In Exercises 9-14, this question, match...Ch. 4.3 - Matching In Exercises 9-14, this question, match...Ch. 4.3 - Finding the Focus and Directrix of a Parabola In...Ch. 4.3 - Prob. 16ECh. 4.3 - Finding the Focus and Directrix of a Parabola In...Ch. 4.3 - Finding the Focus and Directrix of a Parabola In...Ch. 4.3 - Prob. 19ECh. 4.3 - Prob. 20ECh. 4.3 - Finding the Standard Equation of a Parabola In...Ch. 4.3 - Finding the Standard Equation of a Parabola In...Ch. 4.3 - Finding the Standard Equation of a Parabola In...Ch. 4.3 - Finding the Standard Equation of a Parabola In...Ch. 4.3 - Prob. 25ECh. 4.3 - Prob. 26ECh. 4.3 - In Exercises 27 and 28, Find the standard form of...Ch. 4.3 - In Exercises 27 and 28, Find the standard form of...Ch. 4.3 - The light bulb in a flashlight is at the focus of...Ch. 4.3 - The receiver of a parabolic satellite dish is at...Ch. 4.3 - Suspension Bridge Each cable of the Golden Gate...Ch. 4.3 - Beam Deflection A simply supported beam (see...Ch. 4.3 - Finding the Standard Equation of an Ellipse In...Ch. 4.3 - Prob. 34ECh. 4.3 - Prob. 35ECh. 4.3 - Prob. 36ECh. 4.3 - Prob. 37ECh. 4.3 - Prob. 38ECh. 4.3 - Prob. 39ECh. 4.3 - Prob. 40ECh. 4.3 - Finding the Standard Equation of an Ellipse In...Ch. 4.3 - Prob. 42ECh. 4.3 - Sketching an Ellipse In Exercises 43-52, find the...Ch. 4.3 - Prob. 44ECh. 4.3 - Sketching an Ellipse In Exercises 43-52, find the...Ch. 4.3 - Prob. 46ECh. 4.3 - Sketching an Ellipse In Exercises 43-52, find the...Ch. 4.3 - Prob. 48ECh. 4.3 - Sketching an Ellipse In Exercises 43-52, find the...Ch. 4.3 - Prob. 50ECh. 4.3 - Prob. 51ECh. 4.3 - Prob. 52ECh. 4.3 - Prob. 53ECh. 4.3 - Prob. 54ECh. 4.3 - Architecture A mason is building a semielliptical...Ch. 4.3 - A semielliptical arch over a tunnel for a one-way...Ch. 4.3 - Prob. 57ECh. 4.3 - Geometry A line segment through a focus of an...Ch. 4.3 - Using Latera Recta In Exercises 59-62, sketch the...Ch. 4.3 - Prob. 60ECh. 4.3 - Prob. 61ECh. 4.3 - Prob. 62ECh. 4.3 - Prob. 63ECh. 4.3 - Prob. 64ECh. 4.3 - Prob. 65ECh. 4.3 - Prob. 66ECh. 4.3 - Prob. 67ECh. 4.3 - Prob. 68ECh. 4.3 - Prob. 69ECh. 4.3 - Prob. 70ECh. 4.3 - Sketching a Hyperbola In Exercises 71-80, find the...Ch. 4.3 - Prob. 72ECh. 4.3 - Sketching a Hyperbola In Exercises 71-80, find the...Ch. 4.3 - Prob. 74ECh. 4.3 - Sketching a Hyperbola In Exercises 71-80, find the...Ch. 4.3 - Prob. 76ECh. 4.3 - Prob. 77ECh. 4.3 - Prob. 78ECh. 4.3 - Sketching a Hyperbola In Exercises 71-80, find the...Ch. 4.3 - Prob. 80ECh. 4.3 - Art A cross section of a sculpture can be modeled...Ch. 4.3 - Optics A hyperbolic mirror (used in some...Ch. 4.3 - When an airplane travels faster than the speed of...Ch. 4.3 - Navigation Long-distance radio navigation for...Ch. 4.3 - Prob. 85ECh. 4.3 - Prob. 86ECh. 4.3 - Prob. 87ECh. 4.3 - Prob. 88ECh. 4.3 - Area of an Ellipse Consider the ellipse...Ch. 4.3 - Prob. 90ECh. 4.3 - Prob. 91ECh. 4.3 - Prob. 92ECh. 4.3 - Prob. 93ECh. 4.3 - Prob. 94ECh. 4.3 - Prob. 95ECh. 4.3 - Prob. 96ECh. 4.3 - Drawing Ellipses Use two thumbtacks, a string, and...Ch. 4.3 - Prob. 98ECh. 4.3 - Prob. 99ECh. 4.4 - Identify each conic. Then describe the translation...Ch. 4.4 - Prob. 2ECPCh. 4.4 - Prob. 3ECPCh. 4.4 - Prob. 4ECPCh. 4.4 - Prob. 5ECPCh. 4.4 - Prob. 6ECPCh. 4.4 - Prob. 7ECPCh. 4.4 - Prob. 1ECh. 4.4 - Prob. 2ECh. 4.4 - Prob. 3ECh. 4.4 - Prob. 4ECh. 4.4 - Prob. 5ECh. 4.4 - Prob. 6ECh. 4.4 - Prob. 7ECh. 4.4 - Prob. 8ECh. 4.4 - Prob. 9ECh. 4.4 - Prob. 10ECh. 4.4 - Prob. 11ECh. 4.4 - Prob. 12ECh. 4.4 - Prob. 13ECh. 4.4 - Prob. 14ECh. 4.4 - Prob. 15ECh. 4.4 - Prob. 16ECh. 4.4 - Prob. 17ECh. 4.4 - Prob. 18ECh. 4.4 - Prob. 19ECh. 4.4 - Prob. 20ECh. 4.4 - Prob. 21ECh. 4.4 - Prob. 22ECh. 4.4 - Prob. 23ECh. 4.4 - Prob. 24ECh. 4.4 - Prob. 25ECh. 4.4 - Prob. 26ECh. 4.4 - Prob. 27ECh. 4.4 - Finding Characteristics of a Parabola In Exercises...Ch. 4.4 - Finding Characteristics of a Parabola In Exercises...Ch. 4.4 - Finding Characteristics of a Parabola In Exercises...Ch. 4.4 - Prob. 31ECh. 4.4 - Prob. 32ECh. 4.4 - Finding Characteristics of a Parabola In Exercises...Ch. 4.4 - Prob. 34ECh. 4.4 - Finding the Standard Equation of a Parabola In...Ch. 4.4 - Finding the Standard Equation of a Parabola In...Ch. 4.4 - Prob. 37ECh. 4.4 - Prob. 38ECh. 4.4 - Finding the Standard Equation of a Parabola In...Ch. 4.4 - Prob. 40ECh. 4.4 - Prob. 41ECh. 4.4 - Fluid Flow Water flowing from a horizontal pipe 48...Ch. 4.4 - Prob. 43ECh. 4.4 - Prob. 44ECh. 4.4 - Prob. 45ECh. 4.4 - Prob. 46ECh. 4.4 - Prob. 47ECh. 4.4 - Prob. 48ECh. 4.4 - Prob. 49ECh. 4.4 - Prob. 50ECh. 4.4 - Prob. 51ECh. 4.4 - Prob. 53ECh. 4.4 - Prob. 54ECh. 4.4 - Prob. 55ECh. 4.4 - Prob. 56ECh. 4.4 - Finding the Standard Equation of an Ellipse In...Ch. 4.4 - Prob. 58ECh. 4.4 - Prob. 59ECh. 4.4 - Prob. 60ECh. 4.4 - Prob. 61ECh. 4.4 - Prob. 62ECh. 4.4 - Prob. 63ECh. 4.4 - Prob. 64ECh. 4.4 - Planetary Motion The dwarf planet Pluto moves in...Ch. 4.4 - Australian Football In Australia, football by...Ch. 4.4 - Prob. 67ECh. 4.4 - Prob. 68ECh. 4.4 - Prob. 69ECh. 4.4 - Prob. 70ECh. 4.4 - Prob. 71ECh. 4.4 - Prob. 72ECh. 4.4 - Prob. 73ECh. 4.4 - Prob. 74ECh. 4.4 - Prob. 75ECh. 4.4 - Prob. 76ECh. 4.4 - Prob. 77ECh. 4.4 - Prob. 78ECh. 4.4 - Prob. 79ECh. 4.4 - Prob. 80ECh. 4.4 - Prob. 81ECh. 4.4 - Prob. 82ECh. 4.4 - Prob. 83ECh. 4.4 - Prob. 84ECh. 4.4 - Prob. 85ECh. 4.4 - Prob. 86ECh. 4.4 - Prob. 87ECh. 4.4 - Prob. 88ECh. 4.4 - Prob. 89ECh. 4.4 - Prob. 90ECh. 4.4 - Prob. 91ECh. 4.4 - Prob. 92ECh. 4.4 - Prob. 93ECh. 4.4 - Prob. 94ECh. 4.4 - Prob. 95ECh. 4 - Finding the Domain of a Rational Function In...Ch. 4 - Prob. 2RECh. 4 - Prob. 3RECh. 4 - Prob. 4RECh. 4 - Prob. 5RECh. 4 - Prob. 6RECh. 4 - Finding Vertical and Horizontal Asymptotes In...Ch. 4 - Prob. 8RECh. 4 - Prob. 9RECh. 4 - Prob. 10RECh. 4 - Prob. 11RECh. 4 - Seizure of Illegal Drugs The cost C(in millions of...Ch. 4 - Prob. 13RECh. 4 - Prob. 14RECh. 4 - Prob. 15RECh. 4 - Prob. 16RECh. 4 - Prob. 17RECh. 4 - Prob. 18RECh. 4 - Prob. 19RECh. 4 - Prob. 20RECh. 4 - Prob. 21RECh. 4 - Prob. 22RECh. 4 - Prob. 23RECh. 4 - Prob. 24RECh. 4 - Prob. 25RECh. 4 - Prob. 26RECh. 4 - Prob. 27RECh. 4 - Prob. 28RECh. 4 - Prob. 29RECh. 4 - Prob. 30RECh. 4 - Prob. 31RECh. 4 - Prob. 32RECh. 4 - Prob. 33RECh. 4 - The concentration C of a chemical in the...Ch. 4 - Prob. 35RECh. 4 - Prob. 36RECh. 4 - Prob. 37RECh. 4 - Prob. 38RECh. 4 - Prob. 39RECh. 4 - Prob. 40RECh. 4 - Prob. 41RECh. 4 - Prob. 42RECh. 4 - Prob. 43RECh. 4 - Prob. 44RECh. 4 - Prob. 45RECh. 4 - Prob. 46RECh. 4 - Prob. 47RECh. 4 - Prob. 48RECh. 4 - Prob. 49RECh. 4 - Suspension Bridge Each cable of a suspension...Ch. 4 - Prob. 51RECh. 4 - Finding the Standard Equation of an Ellipse In...Ch. 4 - Prob. 53RECh. 4 - Prob. 54RECh. 4 - Prob. 55RECh. 4 - Prob. 56RECh. 4 - Architecture A semi elliptical archway is formed...Ch. 4 - Wading Pool You are building a wading pool that is...Ch. 4 - Prob. 59RECh. 4 - Prob. 60RECh. 4 - Prob. 61RECh. 4 - Prob. 62RECh. 4 - Prob. 63RECh. 4 - Prob. 64RECh. 4 - Prob. 65RECh. 4 - Prob. 66RECh. 4 - Prob. 67RECh. 4 - Prob. 68RECh. 4 - Prob. 69RECh. 4 - Prob. 70RECh. 4 - Prob. 71RECh. 4 - Finding the Standard Equation of an Ellipse In...Ch. 4 - Prob. 73RECh. 4 - Prob. 74RECh. 4 - Prob. 75RECh. 4 - Prob. 76RECh. 4 - Prob. 77RECh. 4 - Prob. 78RECh. 4 - Prob. 79RECh. 4 - Prob. 80RECh. 4 - Prob. 81RECh. 4 - Prob. 82RECh. 4 - Prob. 83RECh. 4 - Prob. 84RECh. 4 - Architecture A parabolic archway is 12 meters high...Ch. 4 - Architecture A church window is bounded above by a...Ch. 4 - Running Path Let (0,0) represent a water fountain...Ch. 4 - Prob. 88RECh. 4 - Prob. 89RECh. 4 - Prob. 90RECh. 4 - In Exercises 1-3, find the domain of the function...Ch. 4 - In Exercises 1-3, find the domain of the function...Ch. 4 - In Exercises 1-3, find the domain of the function...Ch. 4 - Prob. 4TCh. 4 - In Exercises 4-9, identify any intercepts and...Ch. 4 - In Exercises 4-9, identify any intercepts and...Ch. 4 - In Exercises 4-9, identify any intercepts and...Ch. 4 - In Exercises 4-9, identify any intercepts and...Ch. 4 - In Exercises 4-9, identify any intercepts and...Ch. 4 - Prob. 10TCh. 4 - A triangle is formed by the coordinate axes and a...Ch. 4 - Prob. 12TCh. 4 - Sketch the conic and identify the center,...Ch. 4 - Prob. 14TCh. 4 - In Exercises 12-17, sketch the conic and identify...Ch. 4 - Prob. 16TCh. 4 - In Exercises 12-17, sketch the conic and identify...Ch. 4 - Find the standard form of the equation of the...Ch. 4 - Find the standard form of the equation of the...Ch. 4 - Prob. 20TCh. 4 - The moon orbits Earth in an elliptical path with...Ch. 4 - Match the graph of the rational function...Ch. 4 - Prob. 2PSCh. 4 - Distinct Vision The endpoints of the interval over...Ch. 4 - Statuary Hall is an elliptical room in the United...Ch. 4 - Property of a Hyperbola Use the figure to show...Ch. 4 - Prob. 6PSCh. 4 - Tour Boat A tour boat travels between two islands...Ch. 4 - The filament of a light bulb is a thin wire that...Ch. 4 - Prob. 9PSCh. 4 - Prob. 10PSCh. 4 - Prob. 11PS
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- The rate of change of an autocatalytic chemical reaction is kQxkx2 where Q is the amount of the original substance, x is the amount of substance formed, and k is a constant of proportionality. Factor the expression.arrow_forwardbThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.arrow_forwardWhen a certain drug is taken orally, the concentration of the drug in the patient's bloodstream After t minutes is given by C(t)=0.06t0.0002t2 where 0t240 and concentration is measured in mg/L .When is the maximum serum concentration reached, and what is that maximum concentration?arrow_forward
- The kinetic energy E of an object varies jointly with the object’s mass m and the square of the object’s velocity v . An object with a mass of 50 kilograms traveling at 16 meters per second has a kinetic energy of 6400 joules. What is the kinetic energy of an object with a mass of 70 kilograms traveling at 20 meters per second?arrow_forwardGrazing Kangaroos The amount of vegetation eaten in a day by a grazing animal V of food available measured as biomass, in units such as pounds per acre. This relationship is called the functional response. If there is little vegetation available, the daily intake will be small, since the animal will have difficulty finding and eating the food. As the amount of food biomass increases, so does the daily intake. Clearly, though, there is a limit to the amount the animal will eat, regardless of the amount of food available. This maximum amount eaten is the satiation level. a.For the western grey kangaroo of Australia, the functional response is G=2.54.8e0.004V, where G=G(V) is the daily intake measured in pounds and V is the vegetation biomass measured in pounds per acre. i. Draw a graph of G against V. Include vegetation biomass levels up to 2000 pounds per acre. ii. Is the graph you found in part i concave up or concave down? Explain in practical terms what your answer means about how this kangaroo feeds. iii. There is a minimal vegetation biomass level below which the western grey kangaroo will eat nothing. Another way of expressing this is to say that the animal cannot reduce the food biomass below this level. Find this minimal level. iv. Find the satiation level for the western grey kangaroo. b. For the red kangaroo of Australia, the functional response is R=1.91.9e0.033V, Where R is the daily intake measured in pounds and V is the vegetation biomass measured in pounds per acre. i. Add the graph of R against V to the graph of G you drew in part a. ii. A simple measure of the grazing efficiency of an animal involves the minimal vegetation biomass level described above: The lower the minimal level for an animal, the more efficient it is at grazing. Which is more efficient at grazing, the western grey kangaroo or the red kangaroo?arrow_forward
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