Chapter 8.7, Problem 18WE

(a)

To determine

To find: The value of the given function.

Answer to Problem 18WE

The value of the given function is $134$ .

Explanation of Solution

Given:

The given function is $k\left(t\right)=3t^2+9$ .

The given set of real number is $k\left(5\right)$ .

Calculation:

Consider the given function is,

  $k\left(t\right)=3t^2+9$

Consider the real number $k\left(5\right)$ .

Then,

  $\begin{array}{c}k\left(5\right)=3{\left(5\right)}^2+9\\ =134\end{array}$

(b)

To determine

To find: The value of the given function.

Answer to Problem 18WE

The value of the given function is $21$ .

Explanation of Solution

Given:

The given function is $k\left(t\right)=3t^2+9$ .

The given set of real number is $k\left(-2\right)$ .

Calculation:

Consider the given function is,

  $k\left(t\right)=3t^2+9$

Consider the real number $k\left(-2\right)$ .

Then,

  $\begin{array}{c}k\left(-2\right)=3{\left(-2\right)}^2+9\\ =21\end{array}$

(c)

To determine

To find: The value of the given function.

Answer to Problem 18WE

The value of the given function is $36$ .

Explanation of Solution

Given:

The given function is $k\left(t\right)=3t^2+9$ .

The given set of real number is $k\left(-3\right)$ .

Calculation:

Consider the given function is,

  $k\left(t\right)=3t^2+9$

Consider the real number $k\left(-3\right)$ .

Then,

  $\begin{array}{c}k\left(-3\right)=3{\left(-3\right)}^2+9\\ =36\end{array}$