Calculus Examples

$f (40) = - 0.0008 x^{3} + 0.32 x^{2} + 55.7 x$

Step 1

Replace the variable $x$ with $40$ in the expression.

$f (40) = - 0.0008 {(40)}^{3} + 0.32 {(40)}^{2} + 55.7 (40)$

Step 2

Simplify the result.

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Step 2.1

Simplify each term.

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Step 2.1.1

Raise $40$ to the power of $3$ .

$f (40) = - 0.0008 \cdot 64000 + 0.32 {(40)}^{2} + 55.7 (40)$

Step 2.1.2

Multiply $- 0.0008$ by $64000$ .

$f (40) = - 51.2 + 0.32 {(40)}^{2} + 55.7 (40)$

Step 2.1.3

Raise $40$ to the power of $2$ .

$f (40) = - 51.2 + 0.32 \cdot 1600 + 55.7 (40)$

Step 2.1.4

Multiply $0.32$ by $1600$ .

$f (40) = - 51.2 + 512 + 55.7 (40)$

Step 2.1.5

Multiply $55.7$ by $40$ .

$f (40) = - 51.2 + 512 + 2228$

Step 2.2

Simplify by adding numbers.

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Step 2.2.1

Add $- 51.2$ and $512$ .

$f (40) = 460.8 + 2228$

Step 2.2.2

Add $460.8$ and $2228$ .

$f (40) = 2688.8$

Step 2.3

The final answer is $2688.8$ .

$2688.8$

Step 3