This section has 2 parts: And here's how often each unit shows up on the test: For free AP multiple choice practice, try: If you want more AP-style multiple choice practice, consider buying a prep book. % Selected values of a continuous function f are given in the table above. On which of the following intervals is the graph of f both decreasing and concave up ? Let f be the function defined by f(x)=x36x2+9x+4 for 0 Evaluate C for those values of x to determine the minimum cost. At the point (0,2), the curve C has a relative maximum because dy/dx=0 and d2y/dx2<0. The derivative of the function f is given by f(x)=x223xcosx. Which of the following statements is true for 1ftasFa2cd|_kxJW. Students will complete Unit 5 Progress Check: MCQ Part C & FRQ Part A in My AP. Rises then decreases at origin then rises around 5 and goes back down then rises around 10. Good luck when approaching the multiple choice section! The first derivative of f is given by f(t)=t23t+cost. Use or distribution of these materials online or in print. Multiple choice questions can quickly trick us, because if we see our first answer there, we assume it must be right, right? The second derivative of the function f is given by f(x)=x2cos(x2+2x6). a&%1@5hRz )z,Xa Let C(x)=10,000(4x)^2+1+5,000x. If derivative of and is a differentiable function of , which . On what open interval is f decreasing? 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). document.getElementById( "ak_js_1" ).setAttribute( "value", ( new Date() ).getTime() ); Your email address will not be published. ( F9,OQ>*@aZ{mq*dQ%CO6. %PDF-1.4 f has a local maximum at x=0 and at x=6.949. B. Which of the following statements could be false? A curve in the xy-plane is defined by the equation x3+y212x+16y=28. The graph of f, the derivative of the function f, is shown above. Click the card to flip Definition 1 / 36 Which of the following must be true for some c in the interval (3,3) ? xr7gp4HckteJO\JM9P$%CO) h8oF7-uiF})VUUa*:B8}n#~n(D)J3+jjt9' %,l{CZH^xj&38b.z|K" '7[!32CP.qF >J|| 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 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? 4x+5y=33x2y=8\begin{array}{l} Go back if you have time! F'(c)=8-7/3-(-3) since the Mean Value Theorem applies. Once you have done it once though trust your first instinct and move on. Use the scroll bar to view the pacing guide for the fall semester. At what values of x does f have a relative maximum? Click the card to flip Definition 1 / 12 \end{array} 3 0 obj (a) How many elements are in the set A x A? 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. What is the absolute minimum value of f on the interval [0,2] ? Which of the following statements is true about f on the interval 2[X) 7bO8HN40]{K: E=4('X\Y >xD]zmq& IE+7IKqk\P!S){ )B=,*C(YeBD]:?%!"fm&JjQ%/9yJ~Fq=@~#ok,nvLW\74`=ud!VZO/%d.|4%' This problem has been solved! Which of the following statements could be false? <> Below is a good link to review reading the derivative before completing Unit 5. reading-the-derivatives-graph Email Loading. This is because of the six 9-point questions in the free response section that also adds to 54%. II At points where y=8, the lines tangent to the curve are vertical. Not my favorite color-by-letter. Of the following intervals, on which can the Mean Value Theorem be applied to f ? Understanding the format of the exam is key to dividing your studying and pacing yourself when doing practice questions. The domain of f is not a closed and bounded interval. (x,Y1Aq\0B@"ZZO 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. AP Calculus BC Exam Format Section 1: Multiple Choice Part A No Graphing Calculator - 60 minutes (30 questions) Part B Graphing Calculator - 45 minutes (15 questions) Section 2: Free Response Part A Graphing Calculator - 30 minutes (2 problems) Part B No Graphing Calculator -60 minutes (4 problems) may work on Part A, but without a calculator Now, we can tell we are supposed to use u-substitution to get an equivalent form. Experts are tested by Chegg as specialists in their subject area. f has one relative minimum and two relative maxima. % We take the area! On which open intervals is f decreasing? The total cost, in dollars, to order x units of a certain product is modeled by C(x)=5x2+320. If you know the format, use these strategies, and practice until you're confident, you'll rock the multiple choice section of the exam. hU.Fh[%,V6'hV..|xJ*# Y@{k]_$e.=R^\yc>*utoO!%A2Y`yM2! 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? Let f be the function given by f(x)=x(x4)(x+2) on the closed interval [7,7]. On which of the following intervals in [4,3] is f decreasing? Let f be a differentiable function with f(0)=4 and f(10)=11. 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 . These materials are part of a College Board program. Create your own unique website with customizable templates. You'll get a detailed solution from a subject matter expert that helps you learn core concepts. With a few geometric calculations, we should get B as an answer. 4 ( ). AP LIT PRACTICE ap english literature and composition unit progress check: frq test booklet name the following excerpt is from and the jeffery renard allen, Dismiss Try Ask an Expert. For many students in AP Calculus, the multiple-choice section is easier than the free-response section. The graph of f, the derivative of the function f, is shown above for 10. The College Board. AP Calculus BC Scoring Guide Unit 1 Progress Check: MCQ Part c 1. Which of the following statements could be false? The graph of f, the second derivative of the continuous function f, is shown above on the interval [0,9]. Let be the function given by . Let be the function defined above. 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 * 5 + 2 converges or diverges? The domain of f is not a closed and bounded interval.
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