Calculus Examples

$f (10) = - 0.0012 t^{3} + 0.05616 t^{2} - 0.8772 t - 3.736$

Step 1

Replace the variable $t$ with $10$ in the expression.

$f (10) = - 0.0012 {(10)}^{3} + 0.05616 {(10)}^{2} - 0.8772 \cdot 10 - 3.736$

Step 2

Simplify the result.

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Step 2.1

Simplify each term.

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Step 2.1.1

Raise $10$ to the power of $3$ .

$f (10) = - 0.0012 \cdot 1000 + 0.05616 {(10)}^{2} - 0.8772 \cdot 10 - 3.736$

Step 2.1.2

Multiply $- 0.0012$ by $1000$ .

$f (10) = - 1.2 + 0.05616 {(10)}^{2} - 0.8772 \cdot 10 - 3.736$

Step 2.1.3

Raise $10$ to the power of $2$ .

$f (10) = - 1.2 + 0.05616 \cdot 100 - 0.8772 \cdot 10 - 3.736$

Step 2.1.4

Multiply $0.05616$ by $100$ .

$f (10) = - 1.2 + 5.616 - 0.8772 \cdot 10 - 3.736$

Step 2.1.5

Multiply $- 0.8772$ by $10$ .

$f (10) = - 1.2 + 5.616 - 8.772 - 3.736$

Step 2.2

Simplify by adding and subtracting.

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Step 2.2.1

Add $- 1.2$ and $5.616$ .

$f (10) = 4.416 - 8.772 - 3.736$

Step 2.2.2

Subtract $8.772$ from $4.416$ .

$f (10) = - 4.356 - 3.736$

Step 2.2.3

Subtract $3.736$ from $- 4.356$ .

$f (10) = - 8.092$

Step 2.3

The final answer is $- 8.092$ .

$- 8.092$

Step 3