Use the scroll bar to view the pacing guide for the fall semester. I At points where x=2, the lines tangent to the curve are horizontal. On the other hand, if you do not understand a problem or are blanking on how to solve it, looking at the answers can be helpful! This section has 2 parts: Part A: 60 minutes for 30 non-calculator questions. Day 1 - Maclaurin & Taylor Polynomials (Feb. 28th) Notes Notes Handout/Assignment . stream Do not graph. Let be the function given by . They usually sell for under $20 and have upwards of 3 full-length practice tests. 2023 Fiveable Inc. All rights reserved. The graph of f, the derivative of the continuous function f, is shown above on the interval 2> Evaluate C for those values of x to determine the minimum cost. III The line tangent to the curve at the point (1,1) has slope 12. Let f be the function defined by f(x)=xlnx for x>0. Which of the following statements is true about f on the interval 2> Which of the following could be the graph of y=f(x) ? Question: College Board AP Classroom Unit 10 Progress Check: MCQ Part B 5-6 0-0-0 () Question 4 Which of the following series can be used with the limit comparison test to determine whether the series . What is the absolute maximum value of g on the interval [4,1] ? Of the following intervals, on which can the Mean Value Theorem be applied to f? The College Board. xr7rGF#N\!Rv("-RRIh! %PDF-1.4 Now, we can tell we are supposed to use u-substitution to get an equivalent form. What is the car's maximum acceleration on the time interval 0t6 ? 4 x+5 y=3 \\ Let be the function given by . AP Calculus BC Unit 5 Progress Check: MCQ Part A 5.0 (21 reviews) Term 1 / 12 Let f be the function given by f (x)=cos (x^2+x)+2 The derivative of f is given by f' (x)=- (2x+1)sin (x^2+x). 6'>ftasFa2cd|_kxJW. , AP Calculus AB/BC Multiple Choice Help (MCQ), 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 (BC only), Unit 10: Infinite Sequences and Series (BC only). Let f be the function given by f(x)= sinxcosx/x^2-4 On the closed interval [-2pi, 2pi]. My advice? %PDF-1.4 A curve in the xy-plane is defined by the equation x3+y212x+16y=28. Do the problem before even looking at the choices. It is helpful to focus on what the question is asking you to find, then bring the representation into it to figure out how you can use it to help you get to your answer. Image Courtesy of Alberto G. 2023 Fiveable Inc. All rights reserved. Let f be the function defined by f(x)=x510x3. f(x)=x36x2+12x+1, where f(x)=3x212x+12. Let A = {1, 2}. <> AP Calculus BC Scoring Guide Unit 9 Progress Check: MCQ Part B Copyright 2021. These are answers that can be found by making one simple miscalculation or using a method that does not apply to the problem. One type of MC question you will not see in the Free Response section, is converting to summation notation for integrals. f has one relative minimum and two relative maxima. Why does this not contradict the Extreme Value Theorem? These materials are part of a College Board program. Unit 10 -Sequences & Series (Part 2) *Quiz (Days 1 - 5): Thursday, March 8th *Unit 10 Test: Thursday, March 15th *MIDTERM (Units 8 - 10): Tuesday, March 20th. What value of c satisfies the conclusion of the Mean Value Theorem applied to f on the interval [1,4] ? Consider all points (x,y) on curve C where y>0. AP CALCULUS AB Unit 2 Progress Check: MCQ Part A Jaemin Ryu x .00000@ <1ons> E . @m1lQV=-(
71var%AZRQ[TYJVdE%@D)N y "
+\R~|ml @+KpC5N)t'ra]lA Let f be the function defined by f(x)=x^2+1/x+1 with domain [0,). What advanced integration techniques will we learn in BC? #2: 1:29#3: 4:52#4: 8:29#5: 11:26#6: 14:30#7: 19:36#8: 23:39#9: 27:26#10: 32:34#11: 36:05#12: 40:31 This site uses cookies from Google to deliver its services and to analyze traffic. f has three relative extrema, and the graph of f has four points of inflection. Copyright 2020. Which of the following statements is true? An order of 8 units has a minimum cost per unit. Which of the following statements is true for 1 We reviewed their content and use your feedback to keep the quality high. Let f be the function defined by f(x)=sinx+cosx. 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? The Second Derivative Test cannot be used to conclude that x=2 is the location of a relative minimum or relative maximum for which of the following functions? 4 0 obj Consider the curve defined by x^2=e^xy for x>0. The function f has many critical points, two of which are at x=0 and x=6.949. % Directly from College Board and AP: The AP Calculus AB/BC Exams consist of 45 multiple choice questions including: Time: 60 minutes (2 minutes per question), Time: 45 minutes (3 minutes per question). Want to know what's coming up? <> Which of the following statements is true about the curve at the point (3,4) ? The demand for gasoline per day at a filling station can be modeled as a linear function of price. AP Calculus AB Section 7.2: Verifying Solutio. The graph of f has a point of inflection at x=8. An electrical line needs to be connected from the station to an island in the lake that is located 4 miles due south and 1 mile due east of the station. By the Mean Value Theorem applied to f on the interval [2,5], there is a value c such that f(c)=10. Use or distribution of these materials online or in print beyond your school's participation in the program is prohibited. f has two relative minima and one relative maximum. Which of the following must be true for some c in the interval (3,3) ? Go back if you have time! Use or distribution of these materials online or in print beyond your school's participation in the program is prohibited. Which of the following could be the graph of f, the derivative of f, on the interval [a,b] ? (c) How many possible relations are there on the set {1, 2, 3}? Understanding the format of the exam is key to dividing your studying and pacing yourself when doing practice questions. f has a local maximum at x=0 and at x=6.949. Get Started . B. endobj The multiple-choice section makes up 50% of your score, and you have an hour and 45 minutes to answer 45 questions. At the point (0,2), the curve C has a relative maximum because dy/dx=0 and d2y/dx2<0. Powered by Create your own unique website with customizable templates. The figure above shows the graph of f on the interval [a,b].
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