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Test Bank for Calculus of a Single Variable, 10th Edition - Document preview page 1

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Test Bank for Calculus of a Single Variable, 10th Edition

Test Bank for Calculus of a Single Variable, 10th Edition offers detailed practice questions to sharpen your exam readiness. Download now!

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Test Bank for Calculus of a Single Variable, 10th Edition - Page 1 preview imageTest BankCalculusTENTH EDITIONRon LarsonBruce Edwards
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Test Bank for Calculus of a Single Variable, 10th Edition - Page 2 preview image
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Test Bank for Calculus of a Single Variable, 10th Edition - Page 3 preview imageiiiContentsChapter P: Preparation for Calculus1Chapter 1: Limits and Their Properties43Chapter 2: Differentiation82Chapter 3: Applications of Differentiation141Chapter 4: Integration230Chapter 5: Logarithmic, Exponential, and Other Transcendental Functions280Chapter 6: Differential Equations354Chapter 7: Applications of Integration390Chapter 8: Integration Techniques, L’Hôpital’s Rule, and Improper Integrals448Chapter 9: Infinite Series506Chapter 10: Conics, Parametric Equations, and Polar Coordinates581Chapter 11: Vectors and the Geometry of Space646Chapter 12: Vector-Valued Functions703Chapter 13: Functions of Several Variables740Chapter 14: Multiple Integration819Chapter 15: Vector Analysis901Chapter 16: Additional Topics in Differential Equations970
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Test Bank for Calculus of a Single Variable, 10th Edition - Page 4 preview imageP.1 Graphs and Models1P.1 Graphs and ModelsMultiple ChoiceIdentify the choice that best completes the statement or answers the question.____1.Which of the following is the correct graph of?a.d.b.e.c.
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Test Bank for Calculus of a Single Variable, 10th Edition - Page 5 preview image2Chapter P: Preparation for Calculus____2.Which of the following is the correct graph of?a.d.b.e.c.
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Test Bank for Calculus of a Single Variable, 10th Edition - Page 6 preview imageP.1 Graphs and Models3____3.Find all intercepts:a.x-intercepts: (,0), (,0);y-intercepts: (0,), (0, 3)b.x-intercept: (12, 0);y-intercepts: (0,), (0, 3)c.x-intercepts: (4, 0), (–3,0);y-intercept: (0,)d.x-intercepts: (, 0), (,0);y-intercepts: (0, –12), (0, 12)e.x-intercept: (, 0);y-intercept: (0, –12)____4.Find all intercepts:a.x-intercepts: (–5, 0), (–2, 0), (2, 0);y-intercepts: (0, 0), (0, 10)b.x-intercepts: (–5, 0), (2, 0);y-intercept: (0, 10)c.x-intercepts: (–5, 0), (2, 0);y-intercept: (0, –10)d.x-intercepts: (–5, 0), (–2, 0), (2, 0);y-intercept: (0, 10)e.x-intercepts: (–5, 0), (–2, 0), (2, 0);y-intercept: (0, –10)____5.Test for symmetry with respect to each axis and to the origin.a.symmetric with respect to the originb.symmetric with respect to thex-axisc.symmetric with respect to they-axisd.no symmetrye.A, B, and C____6.Test for symmetry with respect to each axis and to the origin.a.symmetric with respect to the originb.symmetric with respect to they-axisc.symmetric with respect to thex-axisd.both B and Ce.no symmetry
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Test Bank for Calculus of a Single Variable, 10th Edition - Page 7 preview image4Chapter P: Preparation for Calculus____7.Sketch the graph of the equation:a.d.b.e.c.
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Test Bank for Calculus of a Single Variable, 10th Edition - Page 8 preview imageP.1 Graphs and Models5____8.Sketch the graph of the equation:a.d.b.e.none of the abovec.
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Test Bank for Calculus of a Single Variable, 10th Edition - Page 9 preview image6Chapter P: Preparation for Calculus____9.Find the points of intersection of the graphs of the equations:a.b.c.d.e.____10.The resistanceyinohms of 1000 feet of solid metal wire atcan beapproximated by the modelwherexisthe diameter of the wire inmils (0.001 in). Use a graphing utility to graph the modela.d.
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Test Bank for Calculus of a Single Variable, 10th Edition - Page 10 preview imageP.1 Graphs and Models7b.e.c.____11.The resistanceyinohms of 1000 feet of solid metal wire atcan beapproximated by the modelwherexisthe diameter of the wire inmils (0.001 in). If the diameter of the wire is doubled, the resistance is changed by approximatelywhat factor? In determining your answer, you can ignore the constant –0.46.a.b.c.d.e.
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Test Bank for Calculus of a Single Variable, 10th Edition - Page 11 preview image8Chapter P: Preparation for Calculus____12.Test for symmetry with respect to each axis and to the origin.a.symmetric with respect to the originb.symmetric with respect to they-axisc.symmetric with respect to thex-axisd.both B and Ce.no symmetry____13.Test for symmetry with respect to each axis and to the origin.a.symmetric with respect to the originb.symmetric with respect to thex-axisc.symmetric with respect to they-axisd.no symmetrye.A, B, and C____14.Find all intercepts:a.x-intercepts: (0,0), (5,0), (-5,0);y-intercept: (0, -25)b.x-intercepts: (0,0), (5,0);y-intercept: (0, 0)c.x-intercepts: (0,0), (5,0), (-5,0);y-intercept: (0, 0)d.x-intercepts: (0,0), (5,0);y-intercept: (0, 5)e.x-intercepts: (0,0), (5,0), (25,0);y-intercept: (0, 0)
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Test Bank for Calculus of a Single Variable, 10th Edition - Page 12 preview imageP.1 Graphs and Models9____15.Sketch the graph of the equation:a.0.511.522.5–0.5–1–1.5–2–2.5x0.511.522.5–0.5–1–1.5–2–2.5yd.12345–1–2–3–4–5x12345–1–2–3–4–5yb.12345–1–2–3–4–5x12345–1–2–3–4–5ye.none of the abovec.0.25 0.5 0.7511.25–0.25–0.5–0.75–1–1.25x0.250.50.7511.25–0.25–0.5–0.75–1–1.25y
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Test Bank for Calculus of a Single Variable, 10th Edition - Page 13 preview image10Chapter P: Preparation for CalculusP.1 Graphs and ModelsAnswer SectionMULTIPLE CHOICE1.ANS:BPTS:1DIF:EasyREF:Section 0.1OBJ:Identify the graph of a semicircleMSC:Skill2.ANS:BPTS:1DIF:EasyREF:Section 0.1OBJ:Identify the graph of a cubic equationMSC:Skill3.ANS:CPTS:1DIF:EasyREF:Section 0.1OBJ:Calculate the intercepts of an equationMSC:Skill4.ANS:DPTS:1DIF:EasyREF:Section 0.1OBJ:Calculate the intercepts of an equationMSC:Skill5.ANS:EPTS:1DIF:EasyREF:Section 0.1OBJ:Identify the type of symmetry of the graph of an equationMSC:Skill6.ANS:APTS:1DIF:EasyREF:Section 0.1OBJ:Identify the type of symmetry of the graph of an equationMSC:Skill7.ANS:BPTS:1DIF:EasyREF:Section 0.1OBJ:Graph a quadratic equation in yMSC:Skill8.ANS:DPTS:1DIF:MedREF:Section 0.1OBJ:Graph an absolute value equationMSC:Skill9.ANS:CPTS:1DIF:MedREF:Section 0.1OBJ:Calculate the points of intersection of the graphs of equationsMSC:Skill10.ANS:BPTS:1DIF:MedREF:Section 0.1OBJ:Plot a rational model using the capabilities of a graphing utilityMSC:Application11.ANS:EPTS:1DIF:MedREF:Section 0.1OBJ:Interpret a rational modelMSC:Application12.ANS:BPTS:1DIF:EasyREF:Section 0.1OBJ:Identify the type of symmetry of the graph of an equationMSC:Skill13.ANS:BPTS:1DIF:EasyREF:Section 0.1OBJ:Identify the type of symmetry of the graph of an equationMSC:Skill14.ANS:CPTS:1DIF:EasyREF:Section 0.1OBJ:Calculate the intercepts of an equationMSC:Skill15.ANS:DPTS:1DIF:EasyREF:Section 0.1OBJ:Graph an equation in yMSC:Skill
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Test Bank for Calculus of a Single Variable, 10th Edition - Page 14 preview imageP.2 Linear Models and Rates of Change11P.2 Linear Models and Rates of ChangeMultiple ChoiceIdentify the choice that best completes the statement or answers the question.____1.Estimate the slope of the line from the graph.a.3b.c.d.e.6____2.Sketch the line passing through the point(3, 4)with the slope.a.d.
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Test Bank for Calculus of a Single Variable, 10th Edition - Page 15 preview image12Chapter P: Preparation for Calculusb.e.c.____3.Find the slope of the line passing through the pair of points.a.b.c.d.0e.
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Test Bank for Calculus of a Single Variable, 10th Edition - Page 16 preview imageP.2 Linear Models and Rates of Change13____4.Find the slope of the line passing through the pointsand.a.63b.21c.42d.21e.42____5.If a line has slopeand passes through the point, through which of thefollowing points does the line also pass?a.b.c.d.e.____6.A moving conveyor is built to rise 5 meters for every 7 meters of horizontal change.Find the slope of the conveyor.a.0b.c.d.e.____7.A moving conveyor is built to rise 1 meter for every 5 meters of horizontal change.Suppose the conveyor runs between two floors in a factory. Find the length of the conveyor if thevertical distance between floors is 10 meters. Round your answer to the nearest meter.a.61metersb.39metersc.51metersd.50meterse.41meters
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Test Bank for Calculus of a Single Variable, 10th Edition - Page 17 preview image14Chapter P: Preparation for Calculus____8.Find the slope of the line.a.b.c.d.e.____9.Find they-intercept of the line.a.b.c.d.e.____10.Find an equation of the line that passes through the pointand has the slopemthat is undefined.a.b.c.d.e.____11.Find an equation of the line that passes through the pointand has the slope.a.–b.+c.+ 162d.e.
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Test Bank for Calculus of a Single Variable, 10th Edition - Page 18 preview imageP.2 Linear Models and Rates of Change15____12.Find an equation of the line that passes through the pointsand.a.b.c.d.e.____13.Find an equation of the line that passes through the pointsand.a.b.c.d.e.____14.Use the result, “the line with interceptshas the equation,,”, to write an equation of the line withx-intercept:andy-intercept:.a.b.c.d.e.
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Test Bank for Calculus of a Single Variable, 10th Edition - Page 19 preview image16Chapter P: Preparation for Calculus____15.Sketch a graph of the equation.a.d.b.e.c.
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Test Bank for Calculus of a Single Variable, 10th Edition - Page 20 preview imageP.2 Linear Models and Rates of Change17____16.Write an equation of the line that passes through the given point and is perpendicularto the given line.a.b.c.d.e.____17.Write an equation of the line that passes through the given point and is parallel to thegiven line.a.b.c.d.e.____18.Write an equation of the line that passes through the pointand isperpendicular to the line.a.b.c.d.e.____19.Write an equation of the line that passes through the pointand is parallel tothe line.a.b.c.d.e.
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Test Bank for Calculus of a Single Variable, 10th Edition - Page 21 preview image18Chapter P: Preparation for Calculus____20.A real estate office handles an apartment complex withunits. When the rent isper month, allunits are occupied. However, when the rent is, the average number ofoccupied units drops to. Assume that the relationship between the monthly rentand the demandis linear. Write a linear equation giving the demandin terms of the rent.a.b.c.d.e.____21.A real estate office handles an apartment complex withunits. When the rent isper month, allunits are occupied. However, when the rent is $, the average number ofoccupied units drops to. Assume that the relationship between the monthly rentand the demandis linear. Predict the number of units occupied if the rent is raised to.a.43 unitsb.54 unitsc.57 unitsd.49 unitse.46 units____22.Find the distance between the pointand lineusing the formula,for the distance between the pointand the line.a.b.c.d.e.
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Test Bank for Calculus of a Single Variable, 10th Edition - Page 22 preview imageP.2 Linear Models and Rates of Change19____23.Suppose that the dollar value of a product inisand the rate at which thevalue of the product is expected to increase per year during the nextyears is. Write a linearequation that gives the dollar valueof the product in terms of the year. (Letrepresent.)Round the numerical values in your answer to one decimal place, where applicable.a.b.c.d.e.____24.A company reimburses its sales representativesper day for lodging and mealsplus¢per mile driven. Write a linear equation giving the daily costto the company in terms of,the number of miles driven. Round the numerical values in your answer to two decimal places, whereapplicable.a.b.c.d.e.____25.A company reimburses its sales representativesper day for lodging and mealsplus¢ per mile driven. How much does it cost the company if a sales representative drivesmiles on a given day? Round your answer to the nearest cent.a.227.20b.216.70c.136.35d.161.35e.191.70
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Test Bank for Calculus of a Single Variable, 10th Edition - Page 23 preview image20Chapter P: Preparation for CalculusP.2 Linear Models and Rates of ChangeAnswer SectionMULTIPLE CHOICE1.ANS:EPTS:1DIF:EasyREF:Section 0.2OBJ:Estimate the slope of a line from its graphMSC:Skill2.ANS:DPTS:1DIF:EasyREF:Section 0.2OBJ:Sketch the line passing through a point with specified slopeMSC:Skill3.ANS:BPTS:1DIF:EasyREF:Section 0.2OBJ:Calculate the slope of a line passing through two pointsMSC:Skill4.ANS:CPTS:1DIF:MedREF:Section 0.2OBJ:Calculate the slope of a line passing through two pointsMSC:Skill5.ANS:APTS:1DIF:MedREF:Section 0.2OBJ:Identify a point on a line with specified propertiesMSC:Skill6.ANS:BPTS:1DIF:EasyREF:Section 0.2MSC: Application7.ANS:CPTS:1DIF:MedREF:Section 0.2OBJ:Calculate slopes in applicationsMSC:Application8.ANS:EPTS:1DIF:MedREF:Section 0.2OBJ:Manipulate a linear equation to determine its slopeMSC:Skill9.ANS:APTS:1DIF:MedREF:Section 0.2OBJ:Manipulate a linear equation to determine its y-interceptMSC:Skill10.ANS:BPTS:1DIF:EasyREF:Section 0.2OBJ:Write an equation of a line given a point on the line and its slopeMSC:Skill11.ANS:BPTS:1DIF:EasyREF:Section 0.2OBJ:Write an equation of a line given a point on the line and its slopeMSC:Skill12.ANS:DPTS:1DIF:EasyREF:Section 0.2OBJ:Write an equation of a line given two points on the lineMSC:Skill13.ANS:EPTS:1DIF:MedREF:Section 0.2OBJ:Write an equation of a line given two points on the lineMSC:Skill14.ANS:EPTS:1DIF:EasyREF:Section 0.2OBJ:Write an equation of a line given its x- and y-interceptsMSC:Skill15.ANS:BPTS:1DIF:MedREF:Section 0.2OBJ:Sketch the graph of a linear equationMSC:Skill16.ANS:CPTS:1DIF:MedREF:Section 0.2OBJ:Write an equation of a line given a point on the line and a line to which it isparallel/perpendicularMSC:Skill17.ANS:APTS:1DIF:MedREF:Section 0.2OBJ:Write an equation of a line given a point on the line and a line to which it isparallel/perpendicularMSC:Skill18.ANS:APTS:1DIF:MedREF:Section 0.2OBJ:Write an equation of a line given a point on the line and a line to which it is perpendicularMSC: Skill19.ANS:APTS:1DIF:EasyREF:Section 0.2OBJ:Write an equation of a line given a point on the line and a line to which it is parallelMSC: Skill
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Test Bank for Calculus of a Single Variable, 10th Edition - Page 24 preview imageP.2 Linear Models and Rates of Change2120.ANS:DPTS:1DIF:MedREF:Section 0.2OBJ:Write linear equations in applicationsMSC:Application21.ANS:EPTS:1DIF:EasyREF:Section 0.2OBJ:Evaluate linear equations in applicationsMSC:Application22.ANS:CPTS:1DIF:MedREF:Section 0.2OBJ:Calculate the distance between a point and a lineMSC:Skill23.ANS:DPTS:1DIF:EasyREF:Section 0.2OBJ:Write linear equations in applicationsMSC:Application24.ANS:BPTS:1DIF:EasyREF:Section 0.2OBJ:Write linear equations in applicationsMSC:Application25.ANS:BPTS:1DIF:EasyREF:Section 0.2OBJ:Evaluate linear equations in applicationsMSC:Application
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Test Bank for Calculus of a Single Variable, 10th Edition - Page 25 preview image22Chapter P: Preparation for CalculusP.3 Functions and Their GraphsMultiple ChoiceIdentify the choice that best completes the statement or answers the question.____1.Evaluate (if possible) the functionat. Simplify the result.a.–7b.17c.3d.7e.undefined____2.Evaluate (if possible) the functionat. Simplify the result.a.b.c.d.e.____3.Evaluate (if possible) the functionat. Simplify the result.a.b.c.d.e.none of the above____4.Let. Then simplify the expression.a.b.c.d.e.undefined
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Test Bank for Calculus of a Single Variable, 10th Edition - Page 26 preview imageP.3 Functions and Their Graphs23____5.Let. Evaluate the expressionand then simplify theresult.a.b.c.d.e.undefined____6.Find the domain and range of the function.a.domain:range:b.domain:range:c.domain:range:d.domain:range:e.domain:range:____7.Find the domain and range of the function.a.domain:range:b.domain:range:c.domain:range:d.domain:range:e.none of the above
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Test Bank for Calculus of a Single Variable, 10th Edition - Page 27 preview image24Chapter P: Preparation for Calculus____8.Find the domain and range of the function.a.domain:range:b.domain:range:c.domain:range:d.domain:range:e.domain:range:____9.Evaluate the functionat.a.b.c.d.e.____10.Determine the domain and range of the function.a.domain:range:b.domain:range:c.domain:range:d.domain:range:e.domain:range:____11.Determine whetheryis a function ofx.a.nob.yes
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Test Bank for Calculus of a Single Variable, 10th Edition - Page 28 preview imageP.3 Functions and Their Graphs25____12.Determine whetheryis a function ofx.a.nob.yes____13.Use the graph ofgiven below to find the graph of the function.a.d.
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Test Bank for Calculus of a Single Variable, 10th Edition - Page 29 preview image26Chapter P: Preparation for Calculusb.e.c.____14.Use the graph ofgiven below to find the graph of the function.
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Test Bank for Calculus of a Single Variable, 10th Edition - Page 30 preview imageP.3 Functions and Their Graphs27a.d.b.e.c.
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Test Bank for Calculus of a Single Variable, 10th Edition - Page 31 preview image28Chapter P: Preparation for Calculus____15.Givenand, evaluate.a.b.c.d.e.____16.Determine whether the function is even, odd, or neither.a.oddb.evenc.neither____17.Determine whether the function is even, odd, or neither.a.evenb.oddc.neither____18.Find the coordinates of a second point on the graph of a functionfif the given pointis on the graph and the function is even.a.b.c.d.e.
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