Which of the following must be true for some c in the interval (3,3) ? The total cost, in dollars, to order x units of a certain product is modeled by C(x)=5x2+320. Go back if you have time! The graph of y=f(x) is shown above. How do we represent and integral on a graph? The concentration of a certain element in the water supply of a town is modeled by the function f, where f(t) is measured in parts per billion and t is measured in years. 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. The College Board. Not my favorite color-by-letter. Experts are tested by Chegg as specialists in their subject area. The graph of f, the derivative of the function f, is shown above. Let f be a function with first derivative given by f(x)=(x+1)(x2)(x3). Want to know what's coming up? My advice? On this interval f has only one critical point, which occurs at x=6. f(x)=x36x2+12x+1, where f(x)=3x212x+12. Not only making the problem and correct answer, but also the wrong answers. The graph of f has a point of inflection at x=8. Let g be the function defined by g(x)=(x2x+1)ex. Which of the following statements is true? 4 ( ). Which of the following statements is true for 00. FRQ Unit 7 progress check. One is the graph of f, one is the graph of f, and one is the graph of f. 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If derivative of and is a differentiable function of , which . \end{array} Check out this list of the best prep books [coming soon] for Fiveable's top picks! At what times t, for 0J|| YxZG+2[x??`\ \.aHL ,u9=`5wV dAGZf= @F)xF.o]GdFFF@#*\P C?8F TB ) ,"vG[0Hsv|S)fp ^=o7=K!U.o+KY;bk}s~JZ%F!v} >{*6&)i`FZWk]B (x,Y1Aq\0B@"ZZO Let f be the function defined by f(x)=x33x226x. , which of the following is equivalent to the, For which of the following functions is the chain rule an appropriate method to find the derivative with, What is the slope of the line tangent to the curve. . Do not graph. % Understanding the format of the exam is key to dividing your studying and pacing yourself when doing practice questions. AP Calculus BC Scoring Guide Unit 3 Progress Check: MCQ 1. Unit 5 Progress Check: MCQ Part C , FRQ Part A, College Algebra instructional Videos with Dana, Finding Your Way Around The Graphing Calculator, Precalculus with Limits : A Graphing Approach, Fifth Edition, Complete List of FREE ACT Math Practice Questions, First Internet Gallery of Statistics Jokes. Good luck when approaching the multiple choice section! The function f has many critical points, two of which are at x=0 and x=6.949. 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). Time: 45 minutes (3 minutes per question) In their course exam description, AP outlines the units and percentages included in the multiple choice sections. Use the scroll bar to view the pacing. endobj Let be the function given by intervals is . It may give you the insight you need to remember how to solve the problem. Let f be the function defined by f(x)=x^2+1/x+1 with domain [0,). It is important that when preparing for the AP exam, you practice problems with every type of function and every representation. What is the absolute maximum value of g on the interval [4,1] ? Since we need g(5), we look to what g is. Once you have done it once though trust your first instinct and move on. The multiple-choice section makes up 50% of your score, and you have an hour and 45 minutes to answer 45 questions. What value of c satisfies the conclusion of the Mean Value Theorem applied to f on the interval [1,4] ? 4 0 obj What advanced integration techniques will we learn in BC? 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. Copyright 2020. <> Which of the following statements could be false? show all of your work, even though Skip to document Sign inRegister Sign inRegister Home Ask an ExpertNew My Library AP Calculus BC Scoring Guide Unit 9 Progress Check: MCQ Part B Copyright 2021. 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 . #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 Unit 2 Progress Check MCQ PartA.pdf. The derivative of the function f is given by f(x)=x223xcosx. 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. The function f has no absolute maximum on its domain. <> A curve in the xy-plane is defined by the equation x3+y212x+16y=28. Yes, I understand you are being timed and this takes a while, but from my experience you are less likely to get distracted by good wrong answers if you have done out the problem yourself. The derivative of the function f is given by f'(x)= sqrt(x) sin(3sqrt(3sqrt(x)) On which of the following intervals in [0,6pi] is f decreasing? Question: College Board AP Classroom Unit 10 Progress Check: MCQ Part A 2 5 6 7 8 10 11 12 13 14 15 Question 5 0 if a is nonzero real number and r is a real number . a&%1@5hRz )z,Xa On what open interval is f decreasing? These materials are part of a College Board program. 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] ? For what values of is continuous at ? Let f be the function defined by f(x)=x36x2+9x+4 for 00. /Contents 4 0 R>> If you know the format, use these strategies, and practice until you're confident, you'll rock the multiple choice section of the exam. These materials are part of a College Board program. /Contents 4 0 R>> What is the absolute minimum value of f on the interval [0,2] ? The demand for gasoline per day at a filling station can be modeled as a linear function of price. On which of the following open intervals is the graph of f concave down? This makes your total out of 54%. Information about the first and second derivatives of f for some values of x in the interval (0,9) is given in the table above. Solve C(x)=0 and find the values of x where C(x) changes sign from negative to positive. The curve is concave down because y=36/y^3<0. On which of the following open intervals is continuous? Which of the following statements is true about the curve at the point (3,4) ? document.getElementById( "ak_js_1" ).setAttribute( "value", ( new Date() ).getTime() ); Your email address will not be published. stream (a) How many elements are in the set A x A? These materials are part of a College Board program. % One type of MC question you will not see in the Free Response section, is converting to summation notation for integrals. III The line tangent to the curve at the point (1,1) has slope 12. 3 0 obj By the Mean Value Theorem applied to f on the interval [2,5], there is a value c such that f(c)=10. Which of the following could be the graph of y=f(x) ? Unit 1 Progress Check: MCQ Part C 1. 3 x-2 y=8 Of the following intervals, on which can the Mean Value Theorem be applied to f? AP Calculus AB/BC Multiple Choice Help (MCQ). (c) How many possible relations are there on the set {1, 2, 3}? Unit 5 MCQ AP Calc AB 4.9 (50 reviews) Term 1 / 36 Let f be the function given by f (x)=5cos2 (x2)+ln (x+1)3. Calculus, Volume 2: Multi-Variable Calculus and Linear Algebra with Applications to Differential Equations and Probability, Calculus for Business, Economics, Life Sciences and Social Sciences, Karl E. Byleen, Michael R. Ziegler, Michae Ziegler, Raymond A. Barnett. The Intermediate Value Theorem applied to This question has good wrong answers because if you forgot to change the bounds, then b is the right answer! unit 5 progress check frq part a ap calculus bc. Unit 5 - Kranish AP Calculus Unit 5 - Applications of the Derivative (Part 2) *Quiz (Days 1 - 3): Wednesday, November 8th *Quiz (4 - 7): Wednesday, November 15th *Unit 5 Test: Friday, November 17th Day 1 - Extreme Value Theorem (Nov. 2nd) Notes Notes Handout/Assignment Assignment Answer Key Day 2 - Rolle's Theorem & Mean Value Theorem (Nov. 3rd) (c) Explain the economic significance of the q-axis and p-axis intercepts. Use the scroll bar to view the pacing guide for the fall semester. Good luck! stream <> ]Jej }w /?1JZ%9$O-oN~xsJpnO>NJ2}aT2*TTtc|7MoUJ'i bR,iqw + RRY-J`uq[, On which open intervals is f decreasing? What value of c satisfies the conclusion of the Mean Value Theorem applied to f on the interval [1,4] ? The graph of f, the derivative of the function f, is shown above for 0*@aZ{mq*dQ%CO6. At what times t, for 0