Question: 2016 AP CALCULUS AB FREE-RESPONSE QUESTIONS CALCULUS AB SECTION II, Part B Time-60 minutes Number of problems-4 No calculator is allowed for these problems.

2016 AP CALCULUS AB FREE-RESPONSE QUESTIONS CALCULUS AB SECTION II, Part B Time-60 minutes Number of problems-4 No calculator is allowed for these problems. (4,4) Mx 2 6 10 12 (8,-4) (12,-4) Graph of f 3. The figure above shows the graph of the piecewise-linear function f. For -4 x 12, the function g is defined by g(x) = f(t) dr. (a) Does g have a relative minimum, a relative maximum, or neither at x 10? Justify your answer. (b) Does the graph of g have a point of inflection at x = 4? Justify your answer. (c) Find the absolute minimum value and the absolute maximum value of g on the interval -4 x 12. Justify your answers. (d) For -4 x 12, find all intervals for which g(x) 0. 2016 The College Board. Mixit the Collcan Board on the Web: www.collegeboard.org

Step by Step Solution

★★★★★

3.63 Rating (150 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Again for absolute minimu quite eviden... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

The Figure above shows the circuit for a simple d.c. power supply. Identify the type of rectifier circuit represented in figure 1 above and explain the operation of the circuit with reference to the...

The figure above shows the log of UK real GDP per capita between 1875 and 1914. Which of the following is correct? Log of Real GDP per capita 10,5 10,0 9,5 9,0 8,5 8,0 7,5 1875 1890 1905 1920 1935...

The figure above shows a portion of the graph of the function f. If f(x+5)=f(x) for all values of x, then f(x)=0 for how many different values of x between 0 and 12? A) eight B) nine C) ten D) eleven...

Assume that you have just been hired as a financial analyst by Tropical Sweets Inc., a mid-sized California company that specializes in creating exotic candies from tropical fruits such as mangoes,...

Figure 34.3 shows a plane electromagnetic sinusoidal wave propagating in the x direction. Suppose that the wavelength is 50.0 m, and the electric field vibrates in the xy plane with amplitude of 22.0...

Figure (a) shows two charged particles fixed in place on an x axis with separation L. The ratio q1/q2 of their charge magnitudes is 4.00. Figure (b) shows the x component Enet,x of their net electric...

Consider the following nonlinear programming problem: Maximize Z = 5x1 + x2, subject to 2x12 + x2 13 x12 + x2 9 and x1 0, x2 0. (a) Show that this problem is a convex programming problem. (b) Use...

Consider the following problem: Maximize Z = 4x1 x12 + 10x2 x22, subject to x12 + 4x22 16 and x1 0, x2 0. (a) Is this a convex programming problem? Answer yes or no, and then justify your...

A differential band brake is used to control the speed of a drum. Determine the minimum value of the coefficient of static friction for which the brake is self-locking when the drum rotates...

Provide five examples and explanations of what is included in a configuration management database: physical computing platforms network devices applications, middleware operating systems...

The ANOVA method is robust when the assumption of normality is not exactly satisfied in a completely randomized design.

Answer like a college student in calculus with analytical geometry. Please show all work. Use the Integral test to determine if the series converges or diverges. n = 1 1 n l n ( n ) Use the...

A 100-W lightbulb generates 95 W of heat, which is dissipated through a glass bulb that has a radius of 3.0cm and is 1.0 mm thick. What is the difference in temperature between the inner and outer...

A 215-g sample of a substance is heated to 330oC and then plunged into a 105-g aluminum calorimeter cup containing 165g of water and 1 17-g glass thermometer at 12.5oC. The final temperature is...

A small immersion heater is rated at 350 W. Estimate how long it will take to heat a cup of soup (assume this is 250mL of water) from 20oC to 60oC.

How does the number of atoms in a 26.5-gram gold ring compare to the number in a silver ring of the same mass?

Among the highest and lowest temperatures recorded are 136oF in the Libyan Desert and 129oF Antarctica. What are these temperatures on the Celsius scale?

Which type of attack takes control of multiple remote computers and forces them to participate in a coordinated attack against a server? A O Dictionary attack B O DDOS attack C O Zero-day attack D O...

Pls help SPONSE QUESTIONS CALCULUS BC SECTION II, Part B Time-60 minutes Number of problems-4 No calculator is allowed for these problems. 50% (4, 4) 10 2 24 8 F ( x ) = Jf'(x)dx 16 - 4 (-4, -4)...

# 45 (use Stapplet) 51,57, 59(Stapplet), 61, 69(Stapplet), 75, 80-85 52 CHAPTER 1 DATA ANALYSIS these cereal brands Between what two values 77. Birth does it her student (ed) About what percent of...

he closing inventory (at 30 June 2016) of Jewel Ltd includes inventory acquired from Joan Ltd at a cost of $7,000. This cost Joan Ltd $5,000 to produce. (e)The opening inventory of Joan Ltd (at 1...

download the...

re Regular Languages and Finite Automata (a) Let L be the set of all strings over the alphabet {a, b} that end in a and do not contain the substring bb. Describe a deterministic finite automaton...

MATHEMATICS FOR MACHINE LEARNING Marc Peter Deisenroth A. Aldo Faisal Cheng Soon Ong Contents Foreword 1 Part I Mathematical Foundations 9 1 Introduction and Motivation 11 1.1 Finding Words for...