Archives
Chapter 1 Evaluate Inverse Trigonometric Expression
1.5 Inverse Functions 53 ____ 9. Find if . a. b. c. d. e. ____ 10. Find if . a. b. c. d. e. ____ 11. Find if . a. b. c. d. e. 54 Chapter 1: Preparation for Calculus […]
Chapter 1 Functions And Their Graphs 12 Determine
1.2 Linear Models and Rates of Change 21 ____ 16. Write an equation of the line that passes through the given point and is perpendicular to the given line. a. b. c. d. e. ____ 17. Write an equation of […]
Chapter 1 The Results Are Shown The Table Below
1.4 Fitting Models to Data 41 c. ____ 7. Hooke’s Law states that the force F required to compress or stretch a spring (within its elastic limits) is proportional to the distance d that the spring is compressed or stretched […]
Chapter 1 The table given below shows the Consumer Price Index
1.1 Graphs and Models 1 1.1 Graphs and Models Multiple Choice Identify 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. […]
Chapter 10 Conics And Calculus Answer Section
10.1 Conics and Calculus 608 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. 609 Chapter 10: Conics, Parametric […]
Chapter 10 Determine the t intervals on which the curve
10.4 Polar Coordinates and Polar Graphs 648 ____ 11. Determine the t intervals on which the curve is concave downward or concave upward. concave downward: ; concave upward: concave downward: ; concave upward: concave downward: ; concave upward: concave downward: […]
Chapter 10 Find The Arc Length The Curve The
10.2 Plane Curves and Parametric Equations 628 b. e. c. ____ 8. Use the result, “the set of parametric equations for the line passing through and is ” to find a set of parametric equations for the line passing through […]
Chapter 10 Find The Eccentricity The Polar Equation 668
661 Chapter 10: Conics, Parametric Equations, and Polar Coordinates 10.5 Area and Arc Length in Polar Coordinates Answer Section 1. ANS: E PTS: 1 DIF: Easy REF: Section 10.5 OBJ: Write an integral that represents the area of a shaded […]
Chapter 11 Find The Triple Scalar Product 702 703
693 Chapter 11: Vectors and the Geometry of Space ____ 9. Find the direction cosines of the vector u given below. a. b. c. d. e. ____ 10. Find the direction angles of the vector u given below. Round your […]
Chapter 11 Find vectors u and v whose initial and terminal
673 Chapter 11: Vectors and the Geometry of Space 11.1 Vectors in the Plane Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Find vectors u and v whose initial and terminal points […]
Chapter 11 Vectors And The Geometry Space
11.5 Lines and Planes in Space 712 11.5 Lines and Planes in Space Answer Section 1. ANS: E PTS: 1 DIF: Easy REF: Section 11.5 OBJ: Write the equation of a line in parametric form given a point on the […]
Chapter 12 Find The Vectors Find Given The Following
731 Chapter 12: Vector-Valued Functions 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. […]
Chapter 12 Find Three Decimal Places For The Space
12.3 Velocity and Acceleration 750 c. ____ 2. The position vector describes the path of an object moving in space. Find the speed of the object. a. b. c. d. e. ____ 3. The position vector describes the path of […]
Chapter 13 Approximate The Maximum Possible Percent Error Measuring
13.3 Partial Derivatives 788 ____ 6. Find the partial derivative for the function . a. b. c. d. e. ____ 7. Find the partial derivative for the function . a. b. c. d. e. 789 Chapter 13: Functions of Several […]
Chapter 13 Round Numerical Values Your Answer Two Decimal
13.8 Extrema of Functions of Two Variables 828 saddle point: saddle point: ____ 7. Examine the function for relative extrema and saddle points. relative minimum: relative minimum: relative maximum: saddle point: saddle point: ____ 8. Examine the function for relative […]
Chapter 13 Sketch the surface given by the function.
13.1 Introduction to Functions of Several Variables 768 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 13 Chain Rules for Functions of Several Variables
13.5 Chain Rules for Functions of Several Variables 808 a. b. c. d. e. 809 Chapter 13: Functions of Several Variables 13.5 Chain Rules for Functions of Several Variables Answer Section 1. ANS: A PTS: 1 DIF: Easy REF: Section […]
Chapter 14 Find The Mass The Lamina Described The
14.3 Change of Variables: Polar Coordinates 868 ____ 3. Evaluate the double integral below. a. b. c. d. e. ____ 4. Evaluate the double integral below. a. b. c. d. e. 869 Chapter 14: Multiple Integration ____ 5. Identify the […]
Chapter 14 Jacobian And Find The Jacobian For The
919 Chapter 14: Multiple Integration 14.8 Change of Variables: Jacobians Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Find the Jacobian for the following change of variables: a. b. c. d. e. […]
Chapter 14 Multiple Integration Use Double
14.1 Iterated Integrals and the Area in the Plane 848 14.1 Iterated Integrals and Area in the Plane Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Evaluate the following integral. a. b. […]
Chapter 14 Use a computer algebra system to evaluate
14.5 Surface Area 888 14.5 Surface Area Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Find the area of the portion of the surface that lies above the triangular region with vertices […]
Chapter 14 Use Cylindrical Coordinates Find The Mass The
14.6 Triple Integrals and Applications 908 ____ 18. Find the average value of tetrahedron in the first octant with vertices over the region Q, where Q is a and . The average value of a continuous function over a solid […]
Chapter 15 Evaluate Evaluate Where Where First Octant
969 Chapter 15: Vector Analysis d. e. ____ 11. Find a vector-valued function whose graph is the ellipsoid . a. b. c. d. e. ____ 12. Find a vector-valued function whose graph is the part of the paraboloid that lies […]
Chapter 15 Evaluate The Line Integral Along The Given
929 Chapter 15: Vector Analysis 15.1 Vector Fields Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Sketch the vector field . a. d. b. e. 15.1 Vector Fields 930 c. ____ 2. […]
Chapter 15 Obj Evaluate The Integral The Curl The
984 Chapter 15: Vector Analysis ____ 3. Let and let S be the surface bounded by the plane and the coordinates planes. Verify the Divergence Theorem by evaluating as a surface integral and as a triple integral. a. b. c. […]
Chapter 15 Theorem Use Greens Theorem Evaluate
949 Chapter 15: Vector Analysis ____ 7. Find the value of the line integral . (Hint: If is conservative, the integration may be easier on an alternate path.) a. 243 b. 192 c. 108 d. 0 e. 12 ____ 8. […]
Chapter 16 Additional Topics Differential Equations
16.1 Exact First-Order Equations 999 16.1 Exact First-Order Equations Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Find the general solution of the differential equation . a. b. c. d. e. ____ […]
Chapter 16 Solve The Differential Equation Where Arbitrary Constant
1016 Chapter 16: Additional Topics in Differential Equations ____ 6. Solve the differential equation by the method of undetermined coefficients. a. b. c. d. e. ____ 7. Solve the differential equation by the method of undetermined coefficients. a. b. c. […]
Chapter 2 Decide whether the following problem can be solved
2.1 A Preview of Calculus 65 2.1 A Preview of Calculus Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Decide whether the following problem can be solved using precalculus, or whether calculus […]
Chapter 2 Find the x-values (if any) at which the function is not continuous
2.3 Evaluating Limits Analytically 85 ____ 11. Let and . Find the limits. a. b. c. – d. e. ____ 12. Suppose that and . Find the following limit. a. –10 –3 –23 ____ 13. Suppose that and . Find […]
Chapter 2 Infinite Limits Find The Limit
2.4 Continuity and One-Sided Limits 97 ____ 15. Find the constant a such that the function is continuous on the entire real line. 1 ____ 16. Find the constant a such that the function is continuous on the entire real […]
Chapter 3 Differentiation 11 Find The Slope The
3.1 The Derivative and the Tangent Line Problem 109 3.1 The Derivative and the Tangent Line Problem Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Find the slope of the line tangent […]
Chapter 3 Evaluate the derivative of the function at the given point
3.4 The Chain Rule 149 ____ 21. Find the derivative of the function . a. b. c. d. e. ____ 22. Find the derivative of the function . a. b. c. d. e. ____ 23. Find the derivative of the […]
Chapter 3 How fast is the radius of the balloon increasing
3.7 Related Rates 185 3.7 Related Rates Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Assume that x and y are both differentiable functions of t . Find for the equation . […]
Chapter 3 Product and Quotient Rules and Higher-Order Derivatives
3.3 Product and Quotient Rules and Higher-Order Derivatives 129 ____ 4. Use the Quotient Rule to differentiate the function . a. b. c. d. e. 130 Chapter 3: Differentiation ____ 5. Use the Quotient Rule to differentiate the function . […]
Chapter 3 Use implicit differentiation to find an equation
3.5 Implicit Differentiation 169 ____ 19. Find an equation of the tangent line to the graph of the function places. a. b. c. d. e. at the point .The coefficients below are given to two decimal ____ 20. Use implicit […]
Chapter 4 Determine The Open Intervals Which
220 Chapter 4: Applications of Differentiation ____ 11. Find the open interval(s) on which the function is increasing in the interval Round numerical values in your answer to three decimal places. increasing on: increasing on: increasing on: increasing on: increasing […]
Chapter 4 Infinity Find The Limit Does Not
4.4 Concavity and the Second Derivative Test 240 ____ 24. Find the cubic function of the form where and the coefficients are real numbers, which satisfies the conditions given below. Relative maximum: Relative minimum: Inflection point: a. b. c. d. […]
Chapter 4 Optimization Problems Answer Section
277 Chapter 4: Applications of Differentiation ____ 20. The graph of f is shown below. For which value of x is minimum? a. b. c. d. e. ____ 21. A meteorologist measures the atmospheric pressure P (in kilograms per square […]
Chapter 4 Rolles Theorem Can Applied Rolles Theorem Can
200 Chapter 4: Applications of Differentiation 4.1 Extrema on an Interval Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Find the value of the derivative (if it exists) of the function at […]
Chapter 4 Summary Curve Sketching 12 Analyze And
261 Chapter 4: Applications of Differentiation ____ 3. The graph of a function f is is shown below. Sketch the graph of the derivative . a. d. b. e. 4.6 A Summary of Curve Sketching 262 c. ____ 4. The […]
Chapter 5 Area Use The Properties Summation And
5.1 Antiderivatives and Indefinite Integration 292 5.1 Antiderivatives and Indefinite Integration Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Find the general solution of the differential equation below and check the result […]
Chapter 5 The And Find Function 323 Integration
5.3 Riemann Sums and Definite Integrals 312 a. b. c. d. e. ____ 14. Sketch the region whose area is given by the definite integral and then use a geometric formula to evaluate the integral. a. b. c. d. e. […]
Chapter 5 The Trapezoidal Rule Gives And Simpsons Rule
5.5 Integration by Substitution 332 ____ 18. Find the indefinite integral. a. b. c. d. e. ____ 19. Find the indefinite integral. a. b. c. d. e. ____ 20. Find the following indefinite integral. a. b. c. d. e. 333 […]
Chapter 5 Write an equation that gives the population
351 Chapter 5: Integration ____ 7. Find the indefinite integral . a. b. c. d. e. ____ 8. Find . a. b. c. d. e. ____ 9. Find . a. b. c. d. e. 5.7 The natural Lodarithmic Function: Integration […]
Chapter 6 A calf that weighs 75 pounds at birth gains weight
389 Chapter 6: Differential Equations 6.3 Differential Equations: Separation of Variables Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Find the general solution of the differential equation . a. b. c. d. […]
Chapter 6 Differential Equations 11 Match
401 Chapter 6: Differential Equations ____ 11. Match the logistic equation and initial condition with the graph of the solution. a. d. b. e. c. 6.4 The Logistic Equation 402 ____ 12. A conservation organization releases 40 coyotes into a […]
Chapter 6 The Isotope Isotope How Many Grams Will
369 Chapter 6: Differential Equations 6.1 Slope Fields and Euler’s Method Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Which of the following is a solution of the differential equation ? a. […]
Chapter 7 A cylindrical gasoline tank 4 feet in diameter
453 Chapter 7: Applications of Integration ____ 9. A tank with a base of 4 feet by 3 feet and a height of 4 feet is full of water. The water weighs 62.4 pounds per cubic foot. How much work […]
Chapter 7 Find The Arc Length The Graph The
433 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 Set And Evaluate The Integral That Gives
413 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 7 The Figure The Vertical Side Form For
7.6 Moments, Centers of Mass, and Centroids 464 ____ 16. Find the volume of the solid generated by rotating the circle about the y-axis. a. b. c. d. e. ____ 17. Find the volume of the solid generated by rotating […]
Chapter 8 Evaluate Round Your Answer Three Decimal
8.1 Basic Integration Rules 474 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. ____ 2. Find the indefinite integral. […]
Chapter 8 Find The Definite Integral Using The Integration
8.3 Trigonometric Integrals 494 c. d. e. ____ 14. Find the indefinite integral. a. b. c. d. e. ____ 15. Find the indefinite integral. a. b. c. d. e. 495 Chapter 8: Integration Techniques, L’Hôpital’s Rule, and Improper Integrals ____ […]
Chapter 8 hopitals Rule Necessary Using hopitals Rule
8.5 Partial Functions 514 8.5 Partial Functions Answer Section 1. ANS: B PTS: 1 DIF: Easy REF: Section 8.5 OBJ: Write the form of the partial fraction decomposition for a given rational expression MSC: Skill 2. ANS: A PTS: 1 […]
Chapter 9 Approximate The Sum The Series Using The
9.3 The Integral Test and p-Series 554 b. k e. c. ____ 14. Find the positive values of for which the series converges. converges for diverges only at converges for converges for converges for ____ 15. Find the positive values […]
Chapter 9 Find All Values For Which The Series
9.1 Sequences 534 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 first five […]
Chapter 9 Round your answer to four decimal places
591 Chapter 9: Infinite Series ____ 3. Find a geometric power series for the function centered at 0, (i) by the technique shown in Examples 1 and 2 and (ii) by long division. a. b. c. d. e. ____ 4. […]
Chapter 9 Taylor Polynomial Approximates Function Within Specified Accuracy
9.7 Taylor Polynomials and Approximations 574 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 […]