Archives: Quiz
Chapter 13 Suppose a home improvement contractor is painting the walls
13.9 Applications of Extrema 805 13.9 Applications of Extrema Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Find the minimum distance from the point to the plane . a. b. c. d. […]
Chapter 13 Examine the function for relative extrema and saddle points
13.8 Extrema of Functions of Two Variables 797 13.8 Extrema of Functions of Two Variables Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Identify any extrema of the function by recognizing its […]
Chapter 13 Find a unit normal vector to the surface at the point
13.7 Tangent Planes and Normal Lines 789 13.7 Tangent Planes and Normal Lines Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. For the function given by describe the level surface given by […]
Chapter 13 There Will Change Directions Parallel The Gradient
13.6 Directional Derivatives and Gradients 781 13.6 Directional Derivatives and Gradients Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Find the directional derivative of the function at P in the direction of […]
Chapter 13 Find The Rate Which The Volume Changing
774 Chapter 13: Functions of Several Variables 13.5 Chain Rules for Functions of Several Variables Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Find using the appropriate Chain Rule for where . […]
Chapter 13 and use the total differential to approximate the quantity
768 Chapter 13: Functions of Several Variables 13.4 Differentials Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Find the total differential of the function . a. b. c. d. e. ____ 2. […]
Chapter 13 Functions Several Variables 21 Suppose
758 Chapter 13: Functions of Several Variables 13.3 Partial Derivatives Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Find the partial derivative for the function . a. b. c. d. e. ____ […]
Chapter 13 Use polar coordinates and L’Hopital’s Rule to find the limit
750 Chapter 13: Functions of Several Variables 13.2 Limits and Continuity Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Find by using the limits and . a. b. c. d. e. ____ […]
Chapter 13 Evaluate Note And Are Given The Number
740 Chapter 13: Functions of Several Variables 13.1 Introduction to Functions of Several Variables Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Find and simplify the function at the given value . […]
Chapter 12 How Fast Can And Are Measured Miles
734 Chapter 12: Vector-Valued Functions 12.5 Arc Length and Curvature Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Find the length of the plane curve given below. a. 20 b. 9 c. […]
Chapter 12 The Model For The Path Altitude 16
728 Chapter 12: Vector-Valued Functions 12.4 Tangent Vectors and Normal Vectors Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Find the unit tangent vector to the curve given below at the specified […]
Chapter 12 The Quarterback Football Team Releases Pass Height
12.3 Velocity and Acceleration 721 12.3 Velocity and Acceleration Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. The position vector describes the path of an object moving in the xy-plane. Sketch a […]
Chapter 12 Differentiation And Integration Vector valued Functions 18
12.2 Differentiation and Integration of Vector-Valued Functions 713 12.2 Differentiation and Integration of Vector-Values Functions Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Find the vectors and for the following vector function. […]
Chapter 12 Find the domain of the vector-valued function given below.
12.1 Vector-Valued Functions 703 12.1 Vector-Valued Functions Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Find the domain of the vector-valued function given below. a. b. c. d. e. ____ 2. Find […]
Chapter 11 Find Equation For The Surface Revolution
686 Chapter 11: Vectors and the Geometry of Space 11.6 Surfaces in Space Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Identify the equation of the following graph. a. b. c. d. […]
Chapter 11 Find The Angle Between Two Adjacent Sides
678 Chapter 11: Vectors and the Geometry of Space 11.5 Lines and Planes in Space Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Find a set of parametric equations of the line […]
Chapter 11 Sketch the graph of the cross product of the unit vector
11.4 The Cross Product of Two Vectors in Space 671 11.4 The Cross Product of Two Vectors in Space Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Find the cross product of […]
Chapter 11 The Direction The Force Above The Horizontal
664 Chapter 11: Vectors and the Geometry of Space 11.3 The Dot Product of Two Vectors Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Given and find . a. –8 b. –4 […]
Chapter 11 Complete the square to write the following equation
11.2 Space Coordinates and Vectors in Space 655 11.2 Space Coordinates and Vectors in Space Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Find the coordinates of the point that is located […]
Chapter 10 Polar Equations Conics And Keplers Laws
10.6 Polar Equations of Conics and Kepler’s Laws 635 10.6 Polar Equations of Conics and Kepler’s Laws Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Identify the conic for the polar equation […]
Chapter 10 Area and Arc Length in Polar Coordinates
10.5 Area and Arc Length in Polar Coordinates 627 10.5 Area and Arc Length in Polar Coordinates Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Write an integral that represents the area […]
Chapter 10 if possible, and find the slope and concavity
10.4 Polar Coordinates and Polar Graphs 617 10.4 Polar Coordinates and Polar Graphs Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Find . a. b. c. d. e. ____ 2. Find . […]
Chapter 10 Conics, Parametric Equations, and Polar Coordinates
10.3 Parametric Equations and Calculus 607 10.3 Parametric Equations and Calculus Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Find . a. b. c. d. e. ____ 2. Find . a. b. […]
Chapter 10 Sketch the curve represented by the parametric equations
596 Chapter 10: Conics, Parametric Equations, and Polar Coordinates 10.2 Plane Curves and Parametric Equations Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Write the corresponding rectangular equation for the curve represented […]
Chapter 10 The Cable Touches The Roadway Midway Between
10.1 Conics and Calculus 581 10.1 Conics and Calculus Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Match the equation with its graph. a. d. b. e. © 2014 Cengage Learning. All […]
Chapter 9 Round Your Answer Four Decimal Places 01925
572 Chapter 9: Infinite Series 9.10 Taylor and Maclaurin Series Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Use the definition to find the Taylor series (centered at c) for the function. […]
Chapter 9 Find a geometric power series for the function centered at
9.9 Representation of Functions by Power Series 563 9.9 Representation of Functions by Power Series Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Find a geometric power series for the function centered […]
Chapter 9 Infinite Series 15 Consider The Function Given
9.8 Power Series 555 9.8 Power Series Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. State where the power series is centered. a. 0 b. –3 c. 2 d. 3 e. –2 […]
Chapter 9 Find The Third Degree Taylor Polynomial Centered
9.7 Taylor Polynomials and Approximations 547 9.7 Taylor Polynomials and Approximations Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Find a first-degree polynomial function P1 whose value and slope agree with the […]
Chapter 9 The Terms Series Are Defined Recursively Determine
9.6 The Ratio and Root Test 541 9.6 The Ratio and Root Test Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Use the Ratio Test to determine the convergence or divergence of […]
Chapter 9 The series converges conditionally but does not converge absolutely
536 Chapter 9: Infinite Series 9.5 Alternating Series Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. True or false: The series converges. a. b. ____ 2. True or false: The series diverges. […]
Chapter 9 The Sum The Series Find The Sum
530 Chapter 9: Infinite Series 9.4 Comparisons of Series Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Use the Direct Comparison Test (if possible) to determine whether the series converges or diverges. […]
Chapter 9 Infinite Series 16 Determine The Convergence Divergence
524 Chapter 9: Infinite Series 9.3 The Integral Test and p-Series Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Use the Integral Test to determine the convergence or divergence of the series. […]
Chapter 9 Write the first five terms of the sequence of partial sums.
516 Chapter 9: Infinite Series 9.2 Series and Convergence Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Write the first five terms of the sequence of partial sums. a. b. c. d. […]
Chapter 9 Find The Balance The Account After Years
506 Chapter 9: Infinite Series 9.1 Sequences Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Write the first five terms of the sequence. a. b. c. d. e. ____ 2. Write the […]
Chapter 8 Integration Techniques Lhpitals Rule And
500 Chapter 8: Integration Techniques, L’H pital’s Rule, and Improper Integrals 8.8 Improper Integrals Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Determine whether the improper integral diverges or converges. Evaluate the […]
Chapter 8 Evaluate the limit first by using techniques from Chapter 1
494 Chapter 8: Integration Techniques, L’Hôpital’s Rule, and Improper Integrals 8.7 Indeterminate Forms and L’Hôpital’s Rule Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Evaluate the limit first by using techniques from […]
Chapter 8 Integration Techniques Lhpitals Rule And Improper
8.6 Integration of Tables and Other Integration Techniques 487 8.6 Integration of Tables and Other Integration Techniques Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Use integration tables to find . a. […]
Chapter 8 Write the form of the partial fraction decomposition
8.5 Partial Functions 479 8.5 Partial Functions Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Write the form of the partial fraction decomposition for the following rational expression. a. b. c. d. […]
Chapter 8 Trigonometric Substitution 15 Evaluate The Integral
470 Chapter 8: Integration Techniques, L’Hôpital’s Rule, and Improper Integrals 8.4 Trigonometric Substitution Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Find the indefinite integral by making the substitution . a. b. […]
Chapter 8 Integrals 19 Find 20 Evaluate 2014
8.3 Trigonometric Integrals 461 8.3 Trigonometric Integrals Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Find the indefinite integral. a. b. c. d. e. ____ 2. Find the indefinite integral. a. b. […]
Chapter 8 Find The Average Value This Model Between
454 Chapter 8: Integration Techniques, L’Hôpital’s Rule, and Improper Integrals 8.2 Integration by Parts Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Find the indefinite integral. a. b. c. d. e. ____ […]
Chapter 8 Evaluate the indefinite integral of a function using substitution
448 Chapter 8: Integration Techniques, L’Hôpital’s Rule, and Improper Integrals 8.1 Basic Integration Rules Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Find the indefinite integral. a. b. c. d. e. ____ […]
Chapter 7 Fluid Pressure And Fluid Force 445
440 Chapter 7: Applications of Integration 7.7 Fluid Pressure and Fluid Force Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. The area of the top side of a piece of sheet metal […]
Chapter 7 Find For The Lamina Uniform Density Bounded
7.6 Moments, Centers of Mass, and Centroids 431 7.6 Moments, Centers of Mass, and Centroids Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Find the center of mass of the point masses […]
Chapter 7 The Axis The Tank Horizontal The Opening
7.5 Work 425 7.5 Work Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Determine the work done by lifting a 140 pound bag of sugar 12 feet. a. 1,680 ft-lb b. 16,800 […]
Chapter 7 Integration 15 Set And Evaluate The
416 Chapter 7: Applications of Integration 7.4 Arc Length and Surfaces of Revolution Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Find the arc length of the graph of the function over […]
Chapter 7 Use The Disk Shell Method Find The
408 Chapter 7: Applications of Integration 7.3 Volume: The Shell Method Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Use the shell method to set up and evaluate the integral that gives […]
Chapter 7 Find The Parabola Tangent The Graph Your
390 Chapter 7: Applications of Integration 7.1 Area of a Region Between Two Curves Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Set up the definite integral that gives the area of […]
Chapter 6 Write The Velocity Function Time Its Velocity
384 Chapter 6: Differential Equations 6.4 First-Order Linear Differential Equations Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Solve the first order linear differential equation. a. b. c. d. e. ____ 2. […]