Chapter 1: Q5D. (page 48)

For $f (t) = 2 t^{3}$ find the value.
$f (- 3) - f (1)$ .

Short Answer

Expert verified

The value of $f (- 3) - f (1)$ is $- 56$ .

Step by step solution

Step 1. From question.

The given expression is $f (t) = 2 t^{3},$

Step 2. To find.

Find the value of $f (- 3) - f (1)$ ifwidth="68">f(t)=2t3,

Step 3. Evaluation.

Putting $t = - 3$ in $f (t) = 2 t^{3},$ we get,

$\begin{matrix} f (- 3) = 2 {(- 3)}^{3} \\ = 2 (- 27) \\ = - 54 \end{matrix}$

Again. putting $t = 1$ in $f (t) = 2 t^{3},$ we get,

$\begin{matrix} f (1) = 2 {(1)}^{3} \\ = 2 (1) \\ = 2 \end{matrix}$

Substituting $f (- 3) = - 54$ and $f (1) = 2$ in $f (- 3) - f (1)$ we get,

$\begin{matrix} f (- 3) - f (1) = - 54 - 2 \\ = - 56 \end{matrix}$

Hence, the value of $f (- 3) - f (1)$ if $f (t) = 2 t^{3},$ is $- 56$ .

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For $f (t) = 2 t^{3}$ find the value.
$f (- 3) - f (1)$ .

Short Answer

Step by step solution

Step 1. From question.

Step 2. To find.

Step 3. Evaluation.

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For f(t)=2t3find the value.f(-3)–f(1).

Short Answer

Step by step solution

Step 1. From question.

Step 2. To find.

Step 3. Evaluation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

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For $f (t) = 2 t^{3}$ find the value.
$f (- 3) - f (1)$ .