Which of the following statements are true? The multiple-choice section makes up 50% of your score, and you have an hour and 45 minutes to answer 45 questions. On what open interval is f decreasing? Let f be the function given by f(x)=x(x4)(x+2) on the closed interval [7,7]. This is a problem you should be ready to see, be sure to check out the unit 6 study guide for more information on these two forms. % For each question there will be 4 choices. What value of c satisfies the conclusion of the Mean Value Theorem applied to f on the interval [1,4] ? The acceleration, in meters per second per second, of a race car is modeled by A(t)=t3152t2+12t+10, where t is measured in seconds. Use or distribution of these materials online or in print beyond your school's participation in the program is prohibited. On which of the following intervals is the graph of f both decreasing and concave up ? What advanced integration techniques will we learn in BC? The derivative of f is given by f (x)=5cos (x2)sin (x2)+1x+1. If you know the format, use these strategies, and practice until you're confident, you'll rock the multiple choice section of the exam. The function f is continuous on the interval (0,9) and is twice differentiable except at x=6, where the derivatives do not exist (DNE). 2003-2023 Chegg Inc. All rights reserved. Unit 2 Differentiation: Definition and Fundamental Properties, 2.1 DEFINING AVERAGE AND INSTANTANEOUS RATES OF CHANGE AT A POINT, 2.2 DEFINING THE DERIVATIVE OF A FUNCTION AND USING DERIVATIVE NOTATION, 2.3 ESTIMATING DERIVATIVES OF A FUNCTION AT A POINT, 2.4 CONNECTING DIFFERENTIABILITY AND CONTINUITY - DETERMINING WHEN DERIVATIVES DO AND DO NOT EXIST, 2.6 DERIVATIVE RULES - CONSTANT, SUM, DIFFERENCE, AND CONSTANT MULTIPLE, 2.7 DERIVATIVES OF COS X, SIN X, EX, AND LN X, 2.10 FINDING THE DERIVATIVES OF TANGENT, COTANGENT, SECANT, AND/OR COSECANT FUNCTIONS, Unit 3 Differentiation: Composite, Implicit & Inverses, 3.4 Differentiating Inverse Trig Functions, 3.5 Procedures for Calculating Derivatives, Unit 4 Contextual Applications of Differentiation, 4.1 Interpreting Meaning of Derivative in Context, 4.2 Straight Line Motion - Connecting Position, Velocity & Acceleration, 4.3 RATES OF CHANGE IN NON-MOTION CONTEXTS, Unit 5 Analytical Applications of Differentiation, 5.6 DETERMINING CONCAVITY OF F(X) ON DOMAIN, 5.7 Using 2nd Derivative Test to Determine Extrema, 5.12 Exploring Behaviors of Implicit Differentiation, Unit 6 Integration & Accumulation of Change (Record Style), Unit 6.1 Exploring Accumulation of Change, Unit 6.2 Approximating Areas with Riemann Sums, Unit 6.3 Riemann Sums, Notation and Definite Integrals, Unit 6.4-6.5 Fundamental Th'm of Calculus, Unit 6.6 Applying Properties of Definite Integrals, Unit 6.7 - 6.8 Fun'l Th'm of Calc & Definite Integrals, Unit 6.10 Integrating Functions Using Long Division & Completing Square, Unit 6.14 Selecting Techniques for Antidifferentiation, Unit 8 Applications of Integration (Record), Unit 5 Analytic Applications of Derivative, Unit 6 Integration & Accumulation of Change, 8.2 - First Fundamental Theorem of Calculus. stream By using this site, you agree to its use of cookies. Do My Homework AP Calc Unit 4 Progress Check What is the absolute maximum value of g on the interval [4,1] ? (c) Explain the economic significance of the q-axis and p-axis intercepts. These materials are part of a College Board program. Consider the curve defined by x^2=e^xy for x>0. Which of the following statements could be false? View unit 1 progess check AP Board.pdf from MATHEMATIC 103 at Lordstown High School. Which of the following statements is true for 0 Of the following intervals, on which can the Mean Value Theorem be applied to f? On which of the following open intervals is continuous? Unit 2: Differentiation: Definition and Fundamental Properties, Unit 3: Differentiation: Composite, Implicit, and Inverse Functions, Unit 4: Contextual Applications of Differentiation, Unit 5: Analytical Applications of Differentiation, Unit 6: Integration and Accumulation of Change, Unit 9: Parametric Equations, Polar Coordinates, and Vector-Valued Functions. The graph of f, the derivative of the continuous function f, is shown above on the interval 2 On which of the following closed intervals is the function f guaranteed by the Extreme Value Theorem to have an absolute maximum and an absolute minimum? We need to find g(5). %PDF-1.4 Contact Mrs. Simpson email: christy_simpson@dpsnc.net. . 4 0 obj What is the car's maximum acceleration on the time interval 0t6 ? It may give you the insight you need to remember how to solve the problem. 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Of the following intervals, on which can the Mean Value Theorem be applied to f ? Which of the following must be true for some c in the interval (0,10) ? 3 x-2 y=8 At what values of x does f have a relative maximum?