Part (a) Total # of cars turning left = L(t) dt 18 = 1,658 cars.

Slides:

Advertisements

Similar presentations

Multiplying Decimals 1. Multiply 2. Move the decimal.

Advertisements

7.2 Polynomial Functions and Their Graphs

Determining Sample Sizes For Estimating . Situation We want to estimate the average life of certain batteries –We know it costs about $15 to test each.

1 Significant Figures Any digit that is not zero is significant kg 4 significant figures Zeros between nonzero digits are significant 606 m 3 significant.

Please open your laptops, log in to the MyMathLab course web site, and open Quiz 5.5A. You may use the formula sheet on this quiz – please don’t write.

Multiplying Decimals Cornell Notes.

Scientific Notation. Essential Question  How do I use scientific notation to represent numbers?

Objectives: (1) To write a number in scientific notation. (2) To perform calculations with numbers written in scientific notation.

Calculating with Significant Figures

Chapter 1 Scientific Notation. 1.1 Scientific Notation gives us a convenient way to express very large or very small numbers. Apply the following rules.

Section 5.2 – Applications of the Second Derivative.

AP Exam 2006 Open Ended Problem #2 Graphing Calculator Permitted.

2006 AP Test. graph of and the line 1. Let R be the shaded region bounded by the as shown at the right. a. Find the area of R.

1 Press Ctrl-A ©G Dear 2010 – Not to be sold/Free to use Rounding Off Stage 6 - Year 11 Mathematics.

Let’s estimate when we multiply decimal fractions! This is one way to check our products.

Lesson 3.3 Ordering Decimals

$100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200.

Percentages As Decimals. 67% = % = % = % = 0.89.

Uniform Distributions and Random Variables Lecture 23 Sections 6.3.2, Mon, Oct 25, 2004.

Dividing a Decimal by a Decimal. Dividing Whole Numbers 12 ÷ 2 = 120 ÷ 20 = 1200 ÷ 200 = ÷ 2000 = Multiply both 12 and 2 by 10 Multiply.

Velocity is a vector quantity therefore must include direction.

Graphing Calculator Steps Steps to follow to find the vertex of a parabola & to find the zeros of a parabola. Make sure you view this in presentation mode.

Rounding (Decimal Places) Round each number to the given number of decimal places.

Section – Solving Systems of Equations Calculator Required.

Solving Compound Inequalities When the word and is used, the solution includes all values that satisfy both inequalities. This is the intersection of the.

Measures of Variation. Variation Variation describes how widely data values are spread out about the center of a distribution.

Distance (m) Time (s) What is the position of the car at the instant of time t = 2 s? What is the position of the car at the instant of time t = 4 s? Starting.

Mind Moo-ver Objective: – SWBAT determine who has the right-of-way in intersections and other scenarios QOD: – What are the three types of parking? – What.

1. Multiply 2. Move the decimal

Velocity, Vectors and Distance Time Graphs

Basic Math Skills Workshop

Where am I now? Review for quiz 4.1.

Uniform Distributions and Random Variables

Calculating Percent Change

Total Distance & Particle Motion

8.2 Average Velocity.

1.6 – Calculating with Significant Figures

Accumulation Problems

To find the total number of cars, we need to integrate.

Scientific Notation.

Calculus BC AP/Dual, Revised © : Lagrange's Error Bound

TOPICS ON CHAPTER 4 TEST: 1

Exponential Functions

Derivatives are slopes…

Language of Motion.

This is the area under the curve from -3 to 0.

Science and Measurement

Ch 1.3: Graphs of functions

Traffic Safety.

A graphing calculator is required for some problems or parts of problems 2000.

Speed Speed (ν) is the distance an object travels during a given time interval divided by the time interval. Speed is a scalar quantity. The SI unit for.

Red lights, yellow lights, and green lights

Accumulation AP Problems

Starter Questions Convert the following to minutes :-

8.2 Average Velocity: Calculating The rate and Direction of movement

Notes Over 8.3 Simplifying Natural Base Expressions

Critical Numbers – Relative Maximum and Minimum Points

8.2 Average Velocity.

Comparing Permitted And Protected Left Turn Phasing

We’ll need the product rule.

5:00 PM is 17 hours after midnight. 9:00 AM is 9 hours after midnight.

3.3 Interpret Rates of Change of Quadratic Functions p. 69

SCIENTIFIC NOTATION ... a way to express very small or very large numbers that is often used in "scientific" calculations where the analysis must be very.

Linear Motion Chapter 2.1 & 2.2.

Linear Motion Chapter 2.1.

Calculating Percent Change

Do not use a calculator for the following!!.

Maximum and Minimum Points

Trigonometric Equations

Presentation transcript:

Part (a) Total # of cars turning left = L(t) dt 18 = 1,658 cars

Part (b) NOTE: I originally got an answer of 199.417 cars/hour by rounding to 3 decimal places mid-way through the problem. Would this be acceptable to the AP graders? NO. To be safe, wait until the end to round anything off. L(t) > 150 on the interval (12.428, 16.122). The average value of L over this interval is… L(t) dt 12.428 16.122 1 16.122-12.428 199.426 cars/hour =

Part (c) 200,000 500 = 400 This means that the signal will be required if, during any 2-hour time interval, L(t) dt 400. The graphing calculator shows us that L(t) has a maximum value at t = 14.294 hours. Since this is greater than 400, the intersection WILL be eligible for a traffic signal. Centering around this max gives us a 2-hour interval from 13.294 to 15.294 hours. L(t) dt = 435.8436 13.294 15.294