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Study Resources (Calculus)

6. Find all intercepts: y=64x - x3 a. x-intercepts: (–8, 0), (8, 0); no y-intercept b. x-intercept: (0, 0); y-intercepts: (0, 0), (0, –8), (0, 8) c. x-intercepts: (0, 0), (–8, 0), (8, 0); y-intercept: (0, 0) d. x-intercepts: (0, 0), (–8, 0), (8, 0); no y-intercept e. x-intercepts: (–8, 0), 8; y-intercept: (0, 0) 7. Find.
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2.2 Finding Limits Graphically and Numerically Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Complete the table and use the result to estimate the limit. a. 0.525000 b. 0.275000 c. –0.100000 d. 0.400000 e. –0.475000 2. Complete the table and use the result to estimate the limit. a. –0.062500 b. 0.067500 c. –0.192500 d. 0.047500 e. –0.172500 3..
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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 is required. If the problem can be solved using precalculus, solve it. If the problem seems to require calculus, use a graphical or numerical.
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2.5 Infinite Limits Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Determine whether approaches ? or -? as x approaches from the left and from the right by completing the tables below. a. b. c. d.   2. Find all the vertical asymptotes (if any) of the.
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1.4 Fitting Models to Data Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Determine which type of function would be most appropriate to fit the given data. a. exponential b. linear c. quadratic d. no relationship e. trigonometric 2. Which function below would be most appropriate model for the given data? a. no.
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2.3 Evaluating Limits Analytically Multiple Choice Identify the choice that best completes the statement or answers the question. 1.Find the limit. a. 108 b. -108 c. 288 d. -288 e. 0 2. Find the limit a. 1/14 b. 1/10 c. 3/22 d. 3/7 e. 3/10 3. Find the limit a. 3 b. -1 c. -3 d. 1 e. 9 4. Find the limit a. ?3/2 b. -?2/2 c. -1/2 d. ?2/2 e. does not exist 5. Find.
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1.6 Exponential and Logarithmic Functions Multiple Choice Identify the choice that best completes the statement or answers the question. 1. What is the domain of the function f(x) = 6ln(4x)? a. (0, ?) b. (1/4, ?) c.(0, 1) d. (1, e) e. (e, ?) 2. What is the domain of the function f(x) = 4 + ln(x-6) ? a.(1, ?) b.(6,.
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2.4 Continuity and One-Sided Limits Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Use the graph as shown to determine the following limits, and discuss the continuity of the function at .x = 3 (i) (ii) (iii)   a. 1, 1, 1, not continuous b. 2 , 2 ,.
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1.2 Linear Models and Rates of Change Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Estimate the slope of the line from the graph. a. – 1/5 b. 5 c. 2 d. -1/2 e. 1/5 2. Sketch the line passing through the point (3, 4) with the slope -3/2 a. b. c. d..
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1.3 Functions and Their Graphs Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Evaluate (if possible) the function f(x) = -6x – 5 at x = - 2. Simplify the result. a. –7 b. 17 c. 3 d. 7 e. undefined 2. Evaluate (if possible) the function f(x) = at x =.
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3.3 Product and Quotient Rules and Higher-Order Derivatives Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find the derivative of the algebraic function a. H’(s) = 11t10 + 36t5 – 25t4 b. H’(s) = 11t10 + 25t5 + 36t4 c. H’(s) = 11t10 + 36t5 + 25t4 d. H’(s).
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11. A ring has a inner circumference of 10 centimeters. What is the radius of the ring? Round your answer to four decimal places. a. 0.7958 centimeter b. 3.1831 centimeters c. 1.5915 centimeters d. 1.7841 centimeters e. 10.1321 centimeters 12. A ring has a inner circumference of 9 centimeters. If the ring's inner circumference can vary.
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6. Decide whether the following problem can be solved using precalculus, or whether calculus is required. If the problem can be solved using precalculus, solve it. If the problem seems to require calculus, use a graphical or numerical approach to estimate the solution. Find the area of the shaded region. a. calculus.
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1.5 Inverse Functions Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Match the graph of the function given below with the graph of its inverse function. a. b. c. d. e. 2. Match the graph of the function given below with the graph of its inverse function. a..
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16.3 Second-Order Nonhomogeneous Linear Equations Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Find a particular solution of the differential equation . a. b. c. d. e. ____ 2. Find a particular solution of the differential equation . a. b. c. d. e. ____ 3. Find a.
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