Chapter 2.2, Problem 43E

(a)

To determine

The number of farms in $1990$. Where the number of farms in the United States $t$ year after $1925$ is $f(t)$ million, where $f$ is the function whose graph is given below.

Graph of $f(t)$:

(b)

To determine

At what rate the number of farms is declining in $1990$. Where the number of farms in the United States $t$ year after $1925$ is $f(t)$ million and graph of $f\text{'}(t)$ and $f\text{'}\text{'}(t)$ is

(c)

To determine

In which year there were about $6$ millions of farms. Where the number of farms in the United States $t$ year after $1925$ is $f(t)$ million, where $f$ is the function, whose graph is the given below.

Graph of $f(t)$:

(d)

To determine

When the number of farms is declining at the rate of $60,000$ farms per year. Where the number of farms in the United States $t$ year after $1925$ is $f(t)$ million and graph of $f\text{'}(t)$ and $f\text{'}\text{'}(t)$ is

(e)

To determine

When the number of farms declining fastest. Where the number of farms in the United States $t$ year after $1925$ is $f(t)$ million and graph of $f\text{'}(t)$ and $f\text{'}\text{'}(t)$ is