   Chapter 12.2, Problem 49E ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# Data entry speed The rate of change in data entry speed of the average student is d s / d x =   5 ( x   +   1 ) − 1 / 2 , where x is the number of lessons the student has had and s is in entries per minute.(a) Find the data entry speed as a function of the number of lessons if the average student can complete 10 entries per minute with no lessons ( x   = 0 ) .(b) How many entries per minute can the average student complete after 24 lessons?

(a)

To determine

To calculate: The data entry speed as a function of number of lessons if the average student can complete 10 entries per minute with no lessons if the rate of change in data entry speed of the average student is dsdx=5(x+1)1/2.

Explanation

Given Information:

The rate of change in data entry speed of the average student is,

dsdx=5(x+1)1/2

Where, the x is the number of lessons the student has had and s is in entries per minute.

Formula used:

According to the power rule of integral,

xndx=xn+1n+1+C

Calculation:

As it is provided that the rate of change in data entry speed of the average student is,

dsdx=5(x+1)1/2

Where, the x is the number of lessons the student has had and s is in entries per minute.

Now, to obtain the data entry speed as a function of number of lessons, s(x), integrate the above equation with respect to x as,

dsdxdx=5<

(b)

To determine

To calculate: The number of entries per minute that an average student can complete after 24 lessons if the rate of change in data entry speed of the average student is dsdx=5(x+1)1/2.

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