Graph of derivative of fruit fly population. What unit should be used for horizontal and vertical axis.

Expert Solution

Answer to Problem 7E

The graph derivative is given. x axis represents number of days and y axis will be taken as slope.

Explanation of Solution

Given:

The given graph of the population is :

Calculation:

Estimate the slope of graph f at various points, plotting the corresponding slope values using the new axes.

At point A slope is 10, at point B slope is 14 and at point C slope is 19 . Tracing these points will give the graph of derivative. horizontal axis represents x and vertical axis represents slope. Complete the graph by connecting the points.

The graph of derivative is given below:

To determine

To find: During what days population seem increasing fastest and slowest.

Expert Solution

Answer to Problem 7E

During 15^t^h to 25^t^hdays population increasing fastest and during 30^t^h to 50^t^h day population increases at lowest rate.

Explanation of Solution

Given:

The graph of number of flies and days is given as:

Concept used: Find the slope at different points to find the number of flies per day.

Calculation:

Let’s take the points 15,50 and 25,170 from the graph .Find the slope.

Apply the formula ΔpΔt=y2−y1x2−x1

Substitute x1=15,y1=50,x2=25,y2=170 in the above formula:

ΔpΔt=170−5025−15ΔpΔt=12010ΔpΔt=12

12 flies per day increasing between 15 to 25 days.

Let’s take the another points 30,260 and 50, 350 from the graph .Find the slope.

Apply the formula ΔpΔt=y2−y1x2−x1

Substitute x1=30,y1=260,x2=50,y2=350 in the above formula:

ΔpΔt=350−26050−30ΔpΔt=9020ΔpΔt=4.5

5 flies per day increasing between 30 to 50 days which is slowest.

Chapter 2.4, Problem 6E

Chapter 2.4, Problem 8E

Chapter 2 Solutions

Ch. 2.1 - Prob. 1QR Ch. 2.1 - Prob. 2QR Ch. 2.1 - Prob. 3QR Ch. 2.1 - Prob. 4QR Ch. 2.1 - Prob. 5QR Ch. 2.1 - Prob. 6QR Ch. 2.1 - Prob. 7QR Ch. 2.1 - Prob. 8QR Ch. 2.1 - Prob. 9QR Ch. 2.1 - Prob. 10QR

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Prob. 46RE Ch. 2 - Prob. 47RE Ch. 2 - Prob. 48RE Ch. 2 - Prob. 49RE Ch. 2 - Prob. 50RE Ch. 2 - Prob. 51RE Ch. 2 - Prob. 52RE Ch. 2 - Prob. 53RE Ch. 2 - Prob. 54RE Ch. 2 - Prob. 55RE Ch. 2 - Prob. 56RE Ch. 2 - Prob. 57RE Ch. 2 - Prob. 58RE Ch. 2 - Prob. 59RE Ch. 2 - Prob. 60RE Ch. 2 - Prob. 61RE Ch. 2 - Prob. 62RE Ch. 2 - Prob. 63RE Ch. 2 - Prob. 64RE Ch. 2 - Prob. 65RE Ch. 2 - Prob. 66RE Ch. 2 - Prob. 67RE Ch. 2 - Prob. 68RE Ch. 2 - Prob. 69RE Ch. 2 - Prob. 70RE Ch. 2 - Prob. 71RE Ch. 2 - Prob. 72RE Ch. 2 - Prob. 73RE Ch. 2 - Prob. 74RE Ch. 2 - Prob. 75RE Ch. 2 - Prob. 76RE Ch. 2 - Prob. 77RE Ch. 2 - Prob. 78RE Ch. 2 - Prob. 79RE Ch. 2 - Prob. 80RE Ch. 2 - Prob. 81EP Ch. 2 - Prob. 82EP Ch. 2 - Prob. 83EP

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