AP CALCULUS TEST PREP-WORKBOOK
AP CALCULUS TEST PREP-WORKBOOK
6th Edition
ISBN: 9781418300258
Author: Demana
Publisher: SAVVAS L
Question
Book Icon
Chapter 2, Problem 65RE

(a).

To determine

Make a scatter plot of t,s data, and sketch a smooth curve through the points.

(a).

Expert Solution
Check Mark

Answer to Problem 65RE

The scatter plot and the curve is:

  AP CALCULUS TEST PREP-WORKBOOK, Chapter 2, Problem 65RE , additional homework tip  1

Explanation of Solution

Given:

  AP CALCULUS TEST PREP-WORKBOOK, Chapter 2, Problem 65RE , additional homework tip  2

Concept Used:

Draw the scatter plot according to the given points.

Calculation:

As per the given problem, the scatter plot is as given:

  AP CALCULUS TEST PREP-WORKBOOK, Chapter 2, Problem 65RE , additional homework tip  3

The curve related to this scatter plot is:

  AP CALCULUS TEST PREP-WORKBOOK, Chapter 2, Problem 65RE , additional homework tip  4

Conclusion:

The scatter plot and the curve is:

  AP CALCULUS TEST PREP-WORKBOOK, Chapter 2, Problem 65RE , additional homework tip  5

b.

To determine

The average velocity between consecutive points of the table.

b.

Expert Solution
Check Mark

Answer to Problem 65RE

The average velocity of consecutive term is:

  AP CALCULUS TEST PREP-WORKBOOK, Chapter 2, Problem 65RE , additional homework tip  6

Explanation of Solution

Given:

  AP CALCULUS TEST PREP-WORKBOOK, Chapter 2, Problem 65RE , additional homework tip  7

Concept Used:

  Derivative=ΔyΔx

Calculation:

  AP CALCULUS TEST PREP-WORKBOOK, Chapter 2, Problem 65RE , additional homework tip  8

Conclusion:

The average velocity of consecutive term is:

  AP CALCULUS TEST PREP-WORKBOOK, Chapter 2, Problem 65RE , additional homework tip  9

c.

To determine

To draw a scatter plot of the data in (b) using the midpoints of the t values, then sketch a smooth curve.

c.

Expert Solution
Check Mark

Answer to Problem 65RE

The scatter plot of the given points:

  AP CALCULUS TEST PREP-WORKBOOK, Chapter 2, Problem 65RE , additional homework tip  10

Explanation of Solution

Given:

It is given that the points are:

  AP CALCULUS TEST PREP-WORKBOOK, Chapter 2, Problem 65RE , additional homework tip  11

Concept Used:

The derivative will be:

  Derivative=y1y0x1x0

Calculation:

As per the given problem, the scatter plot is:

  AP CALCULUS TEST PREP-WORKBOOK, Chapter 2, Problem 65RE , additional homework tip  12

Now, the line is:

  AP CALCULUS TEST PREP-WORKBOOK, Chapter 2, Problem 65RE , additional homework tip  13

Conclusion:

The scatter plot of the given points:

  AP CALCULUS TEST PREP-WORKBOOK, Chapter 2, Problem 65RE , additional homework tip  14

Given:

  AP CALCULUS TEST PREP-WORKBOOK, Chapter 2, Problem 65RE , additional homework tip  15

Concept Used:

Draw the scatter plot according to the given points.

Calculation:

As per the given problem, the scatter plot is as given:

  AP CALCULUS TEST PREP-WORKBOOK, Chapter 2, Problem 65RE , additional homework tip  16

The curve related to this scatter plot is:

  AP CALCULUS TEST PREP-WORKBOOK, Chapter 2, Problem 65RE , additional homework tip  17

Conclusion:

The scatter plot and the curve is:

  AP CALCULUS TEST PREP-WORKBOOK, Chapter 2, Problem 65RE , additional homework tip  18

b.

To determine

The average velocity between consecutive points of the table.

b.

Expert Solution
Check Mark

Answer to Problem 65RE

The average velocity of consecutive term is:

  AP CALCULUS TEST PREP-WORKBOOK, Chapter 2, Problem 65RE , additional homework tip  19

Explanation of Solution

Given:

  AP CALCULUS TEST PREP-WORKBOOK, Chapter 2, Problem 65RE , additional homework tip  20

Concept Used:

  Derivative=ΔyΔx

Calculation:

  AP CALCULUS TEST PREP-WORKBOOK, Chapter 2, Problem 65RE , additional homework tip  21

Conclusion:

The average velocity of consecutive term is:

  AP CALCULUS TEST PREP-WORKBOOK, Chapter 2, Problem 65RE , additional homework tip  22

c.

To determine

To draw a scatter plot of the data in (b) using the midpoints of the t values, then sketch a smooth curve.

c.

Expert Solution
Check Mark

Answer to Problem 65RE

The scatter plot of the given points:

  AP CALCULUS TEST PREP-WORKBOOK, Chapter 2, Problem 65RE , additional homework tip  23

Explanation of Solution

Given:

It is given that the points are:

  AP CALCULUS TEST PREP-WORKBOOK, Chapter 2, Problem 65RE , additional homework tip  24

Concept Used:

The derivative will be:

  Derivative=y1y0x1x0

Calculation:

As per the given problem, the scatter plot is:

  AP CALCULUS TEST PREP-WORKBOOK, Chapter 2, Problem 65RE , additional homework tip  25

Now, the line is:

  AP CALCULUS TEST PREP-WORKBOOK, Chapter 2, Problem 65RE , additional homework tip  26

Conclusion:

The scatter plot of the given points:

  AP CALCULUS TEST PREP-WORKBOOK, Chapter 2, Problem 65RE , additional homework tip  27

Chapter 2 Solutions

AP CALCULUS TEST PREP-WORKBOOK

Ch. 2.1 - Prob. 1ECh. 2.1 - Prob. 2ECh. 2.1 - Prob. 3ECh. 2.1 - Prob. 4ECh. 2.1 - Prob. 5ECh. 2.1 - Prob. 6ECh. 2.1 - Prob. 7ECh. 2.1 - Prob. 8ECh. 2.1 - Prob. 9ECh. 2.1 - Prob. 10ECh. 2.1 - Prob. 11ECh. 2.1 - Prob. 12ECh. 2.1 - Prob. 13ECh. 2.1 - Prob. 14ECh. 2.1 - Prob. 15ECh. 2.1 - Prob. 16ECh. 2.1 - Prob. 17ECh. 2.1 - Prob. 18ECh. 2.1 - Prob. 19ECh. 2.1 - Prob. 20ECh. 2.1 - Prob. 21ECh. 2.1 - Prob. 22ECh. 2.1 - Prob. 23ECh. 2.1 - Prob. 24ECh. 2.1 - Prob. 25ECh. 2.1 - Prob. 26ECh. 2.1 - Prob. 27ECh. 2.1 - Prob. 28ECh. 2.1 - Prob. 29ECh. 2.1 - Prob. 30ECh. 2.1 - Prob. 31ECh. 2.1 - Prob. 32ECh. 2.1 - Prob. 33ECh. 2.1 - Prob. 34ECh. 2.1 - Prob. 35ECh. 2.1 - Prob. 36ECh. 2.1 - Prob. 37ECh. 2.1 - Prob. 38ECh. 2.1 - Prob. 39ECh. 2.1 - Prob. 40ECh. 2.1 - Prob. 41ECh. 2.1 - Prob. 42ECh. 2.1 - Prob. 43ECh. 2.1 - Prob. 44ECh. 2.1 - Prob. 45ECh. 2.1 - Prob. 46ECh. 2.2 - Prob. 1QRCh. 2.2 - Prob. 2QRCh. 2.2 - Prob. 3QRCh. 2.2 - Prob. 4QRCh. 2.2 - Prob. 5QRCh. 2.2 - Prob. 6QRCh. 2.2 - Prob. 7QRCh. 2.2 - Prob. 8QRCh. 2.2 - Prob. 9QRCh. 2.2 - Prob. 10QRCh. 2.2 - Prob. 1ECh. 2.2 - Prob. 2ECh. 2.2 - Prob. 3ECh. 2.2 - Prob. 4ECh. 2.2 - Prob. 5ECh. 2.2 - Prob. 6ECh. 2.2 - Prob. 7ECh. 2.2 - Prob. 8ECh. 2.2 - Prob. 9ECh. 2.2 - Prob. 10ECh. 2.2 - Prob. 11ECh. 2.2 - Prob. 12ECh. 2.2 - Prob. 13ECh. 2.2 - Prob. 14ECh. 2.2 - Prob. 15ECh. 2.2 - Prob. 16ECh. 2.2 - Prob. 17ECh. 2.2 - Prob. 18ECh. 2.2 - Prob. 19ECh. 2.2 - Prob. 20ECh. 2.2 - Prob. 21ECh. 2.2 - Prob. 22ECh. 2.2 - Prob. 23ECh. 2.2 - Prob. 24ECh. 2.2 - Prob. 25ECh. 2.2 - Prob. 26ECh. 2.2 - Prob. 27ECh. 2.2 - Prob. 28ECh. 2.2 - Prob. 29ECh. 2.2 - Prob. 30ECh. 2.2 - Prob. 31ECh. 2.2 - Prob. 32ECh. 2.2 - Prob. 33ECh. 2.2 - Prob. 34ECh. 2.2 - Prob. 35ECh. 2.2 - Prob. 36ECh. 2.2 - Prob. 37ECh. 2.2 - Prob. 38ECh. 2.2 - Prob. 39ECh. 2.2 - Prob. 40ECh. 2.2 - Prob. 41ECh. 2.2 - Prob. 42ECh. 2.2 - Prob. 43ECh. 2.2 - Prob. 44ECh. 2.2 - Prob. 45ECh. 2.2 - Prob. 46ECh. 2.2 - Prob. 47ECh. 2.2 - Prob. 48ECh. 2.3 - Prob. 1QRCh. 2.3 - Prob. 2QRCh. 2.3 - Prob. 3QRCh. 2.3 - Prob. 4QRCh. 2.3 - Prob. 5QRCh. 2.3 - Prob. 6QRCh. 2.3 - Prob. 7QRCh. 2.3 - Prob. 8QRCh. 2.3 - Prob. 9QRCh. 2.3 - Prob. 10QRCh. 2.3 - Prob. 1ECh. 2.3 - Prob. 2ECh. 2.3 - Prob. 3ECh. 2.3 - Prob. 4ECh. 2.3 - Prob. 5ECh. 2.3 - Prob. 6ECh. 2.3 - Prob. 7ECh. 2.3 - Prob. 8ECh. 2.3 - Prob. 9ECh. 2.3 - Prob. 10ECh. 2.3 - Prob. 11ECh. 2.3 - Prob. 12ECh. 2.3 - Prob. 13ECh. 2.3 - Prob. 14ECh. 2.3 - Prob. 15ECh. 2.3 - Prob. 16ECh. 2.3 - Prob. 17ECh. 2.3 - Prob. 18ECh. 2.3 - Prob. 19ECh. 2.3 - Prob. 20ECh. 2.3 - Prob. 21ECh. 2.3 - Prob. 22ECh. 2.3 - Prob. 23ECh. 2.3 - Prob. 24ECh. 2.3 - Prob. 25ECh. 2.3 - Prob. 26ECh. 2.3 - Prob. 27ECh. 2.3 - Prob. 28ECh. 2.3 - Prob. 29ECh. 2.3 - Prob. 30ECh. 2.3 - Prob. 31ECh. 2.3 - Prob. 32ECh. 2.3 - Prob. 33ECh. 2.3 - Prob. 34ECh. 2.3 - Prob. 35ECh. 2.3 - Prob. 36ECh. 2.3 - Prob. 37ECh. 2.3 - Prob. 38ECh. 2.3 - Prob. 39ECh. 2.3 - Prob. 40ECh. 2.3 - Prob. 41ECh. 2.3 - Prob. 42ECh. 2.3 - Prob. 43ECh. 2.3 - Prob. 44ECh. 2.3 - Prob. 45ECh. 2.3 - Prob. 46ECh. 2.3 - Prob. 47ECh. 2.3 - Prob. 48ECh. 2.3 - Prob. 49ECh. 2.3 - Prob. 50ECh. 2.3 - Prob. 51ECh. 2.3 - Prob. 52ECh. 2.3 - Prob. 53ECh. 2.3 - Prob. 54ECh. 2.3 - Prob. 55ECh. 2.3 - Prob. 56ECh. 2.3 - Prob. 57ECh. 2.3 - Prob. 58ECh. 2.3 - Prob. 59ECh. 2.3 - Prob. 1QQCh. 2.3 - Prob. 2QQCh. 2.3 - Prob. 3QQCh. 2.3 - Prob. 4QQCh. 2.4 - Prob. 1QRCh. 2.4 - Prob. 2QRCh. 2.4 - Prob. 3QRCh. 2.4 - Prob. 4QRCh. 2.4 - Prob. 5QRCh. 2.4 - Prob. 6QRCh. 2.4 - Prob. 7QRCh. 2.4 - Prob. 8QRCh. 2.4 - Prob. 9QRCh. 2.4 - Prob. 10QRCh. 2.4 - Prob. 1ECh. 2.4 - Prob. 2ECh. 2.4 - Prob. 3ECh. 2.4 - Prob. 4ECh. 2.4 - Prob. 5ECh. 2.4 - Prob. 6ECh. 2.4 - Prob. 7ECh. 2.4 - Prob. 8ECh. 2.4 - Prob. 9ECh. 2.4 - Prob. 10ECh. 2.4 - Prob. 11ECh. 2.4 - Prob. 12ECh. 2.4 - Prob. 13ECh. 2.4 - Prob. 14ECh. 2.4 - Prob. 15ECh. 2.4 - Prob. 16ECh. 2.4 - Prob. 17ECh. 2.4 - Prob. 18ECh. 2.4 - Prob. 19ECh. 2.4 - Prob. 20ECh. 2.4 - Prob. 21ECh. 2.4 - Prob. 22ECh. 2.4 - Prob. 23ECh. 2.4 - Prob. 24ECh. 2.4 - Prob. 25ECh. 2.4 - Prob. 26ECh. 2.4 - Prob. 27ECh. 2.4 - Prob. 28ECh. 2.4 - Prob. 29ECh. 2.4 - Prob. 30ECh. 2.4 - Prob. 31ECh. 2.4 - Prob. 32ECh. 2.4 - Prob. 33ECh. 2.4 - Prob. 34ECh. 2.4 - Prob. 35ECh. 2.4 - Prob. 36ECh. 2.4 - Prob. 37ECh. 2.4 - Prob. 38ECh. 2.4 - Prob. 39ECh. 2.4 - Prob. 40ECh. 2.4 - Prob. 41ECh. 2.4 - Prob. 42ECh. 2.4 - Prob. 43ECh. 2.4 - Prob. 44ECh. 2.4 - Prob. 45ECh. 2.4 - Prob. 46ECh. 2.4 - Prob. 47ECh. 2.4 - Prob. 48ECh. 2.4 - Prob. 49ECh. 2.4 - Prob. 50ECh. 2.5 - Prob. 1QRCh. 2.5 - Prob. 2QRCh. 2.5 - Prob. 3QRCh. 2.5 - Prob. 4QRCh. 2.5 - Prob. 5QRCh. 2.5 - Prob. 6QRCh. 2.5 - Prob. 7QRCh. 2.5 - Prob. 8QRCh. 2.5 - Prob. 9QRCh. 2.5 - Prob. 10QRCh. 2.5 - Prob. 1ECh. 2.5 - Prob. 2ECh. 2.5 - Prob. 3ECh. 2.5 - Prob. 4ECh. 2.5 - Prob. 5ECh. 2.5 - Prob. 6ECh. 2.5 - Prob. 7ECh. 2.5 - Prob. 8ECh. 2.5 - Prob. 9ECh. 2.5 - Prob. 10ECh. 2.5 - Prob. 11ECh. 2.5 - Prob. 12ECh. 2.5 - Prob. 13ECh. 2.5 - Prob. 14ECh. 2.5 - Prob. 15ECh. 2.5 - Prob. 16ECh. 2.5 - Prob. 17ECh. 2.5 - Prob. 18ECh. 2.5 - Prob. 19ECh. 2.5 - Prob. 20ECh. 2.5 - Prob. 21ECh. 2.5 - Prob. 22ECh. 2.5 - Prob. 23ECh. 2.5 - Prob. 24ECh. 2.5 - Prob. 25ECh. 2.5 - Prob. 26ECh. 2.5 - Prob. 27ECh. 2.5 - Prob. 28ECh. 2.5 - Prob. 29ECh. 2.5 - Prob. 30ECh. 2.5 - Prob. 31ECh. 2.5 - Prob. 32ECh. 2.5 - Prob. 33ECh. 2.5 - Prob. 34ECh. 2.5 - Prob. 35ECh. 2.5 - Prob. 36ECh. 2.5 - Prob. 37ECh. 2.5 - Prob. 38ECh. 2.5 - Prob. 39ECh. 2.5 - Prob. 40ECh. 2.5 - Prob. 41ECh. 2.5 - Prob. 42ECh. 2.5 - Prob. 43ECh. 2.5 - Prob. 44ECh. 2.5 - Prob. 45ECh. 2.5 - Prob. 46ECh. 2.5 - Prob. 47ECh. 2.5 - Prob. 48ECh. 2.5 - Prob. 49ECh. 2.5 - Prob. 50ECh. 2.5 - Prob. 51ECh. 2.5 - Prob. 52ECh. 2.5 - Prob. 1QQCh. 2.5 - Prob. 2QQCh. 2.5 - Prob. 3QQCh. 2.5 - Prob. 4QQCh. 2 - Prob. 1RWDTCh. 2 - Prob. 2RWDTCh. 2 - Prob. 3RWDTCh. 2 - Prob. 4RWDTCh. 2 - Prob. 5RWDTCh. 2 - Prob. 6RWDTCh. 2 - Prob. 7RWDTCh. 2 - Prob. 8RWDTCh. 2 - Prob. 9RWDTCh. 2 - Prob. 10RWDTCh. 2 - Prob. 1RECh. 2 - Prob. 2RECh. 2 - Prob. 3RECh. 2 - Prob. 4RECh. 2 - Prob. 5RECh. 2 - Prob. 6RECh. 2 - Prob. 7RECh. 2 - Prob. 8RECh. 2 - Prob. 9RECh. 2 - Prob. 10RECh. 2 - Prob. 11RECh. 2 - Prob. 12RECh. 2 - Prob. 13RECh. 2 - Prob. 14RECh. 2 - Prob. 15RECh. 2 - Prob. 16RECh. 2 - Prob. 17RECh. 2 - Prob. 18RECh. 2 - Prob. 19RECh. 2 - Prob. 20RECh. 2 - Prob. 21RECh. 2 - Prob. 22RECh. 2 - Prob. 23RECh. 2 - Prob. 24RECh. 2 - Prob. 25RECh. 2 - Prob. 26RECh. 2 - Prob. 27RECh. 2 - Prob. 28RECh. 2 - Prob. 29RECh. 2 - Prob. 30RECh. 2 - Prob. 31RECh. 2 - Prob. 32RECh. 2 - Prob. 33RECh. 2 - Prob. 34RECh. 2 - Prob. 35RECh. 2 - Prob. 36RECh. 2 - Prob. 37RECh. 2 - Prob. 38RECh. 2 - Prob. 39RECh. 2 - Prob. 40RECh. 2 - Prob. 41RECh. 2 - Prob. 42RECh. 2 - Prob. 43RECh. 2 - Prob. 44RECh. 2 - Prob. 45RECh. 2 - Prob. 46RECh. 2 - Prob. 47RECh. 2 - Prob. 48RECh. 2 - Prob. 49RECh. 2 - Prob. 50RECh. 2 - Prob. 51RECh. 2 - Prob. 52RECh. 2 - Prob. 53RECh. 2 - Prob. 54RECh. 2 - Prob. 55RECh. 2 - Prob. 56RECh. 2 - Prob. 57RECh. 2 - Prob. 58RECh. 2 - Prob. 59RECh. 2 - Prob. 60RECh. 2 - Prob. 61RECh. 2 - Prob. 62RECh. 2 - Prob. 63RECh. 2 - Prob. 64RECh. 2 - Prob. 65RECh. 2 - Prob. 66RECh. 2 - Prob. 67RECh. 2 - Prob. 68RECh. 2 - Prob. 69RECh. 2 - Prob. 70RECh. 2 - Prob. 71RECh. 2 - Prob. 72RECh. 2 - Prob. 73RECh. 2 - Prob. 74RECh. 2 - Prob. 75RECh. 2 - Prob. 76RECh. 2 - Prob. 77RECh. 2 - Prob. 78RECh. 2 - Prob. 79RECh. 2 - Prob. 80RECh. 2 - Prob. 81EPCh. 2 - Prob. 82EPCh. 2 - Prob. 83EP
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