Calculus Examples

$l (x) = 0.02 x^{3} - 0.07 x^{2} + 8 x$ , $x = 14$

Step 1

Replace the variable $x$ with $14$ in the expression.

$l (14) = 0.02 {(14)}^{3} - 0.07 {(14)}^{2} + 8 (14)$

Step 2

Simplify the result.

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Step 2.1

Simplify each term.

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Step 2.1.1

Raise $14$ to the power of $3$ .

$l (14) = 0.02 \cdot 2744 - 0.07 {(14)}^{2} + 8 (14)$

Step 2.1.2

Multiply $0.02$ by $2744$ .

$l (14) = 54.88 - 0.07 {(14)}^{2} + 8 (14)$

Step 2.1.3

Raise $14$ to the power of $2$ .

$l (14) = 54.88 - 0.07 \cdot 196 + 8 (14)$

Step 2.1.4

Multiply $- 0.07$ by $196$ .

$l (14) = 54.88 - 13.72 + 8 (14)$

Step 2.1.5

Multiply $8$ by $14$ .

$l (14) = 54.88 - 13.72 + 112$

Step 2.2

Simplify by adding and subtracting.

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Step 2.2.1

Subtract $13.72$ from $54.88$ .

$l (14) = 41.16 + 112$

Step 2.2.2

Add $41.16$ and $112$ .

$l (14) = 153.16$

Step 2.3

The final answer is $153.16$ .

$153.16$

Step 3