Calculus Examples

$P (n) = - 8 n^{2} + 3200 n - 80000$ , $n = 200$

Step 1

Replace the variable $n$ with $200$ in the expression.

$P (200) = - 8 {(200)}^{2} + 3200 (200) - 80000$

Step 2

Simplify the result.

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Step 2.1

Simplify each term.

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Step 2.1.1

Raise $200$ to the power of $2$ .

$P (200) = - 8 \cdot 40000 + 3200 (200) - 80000$

Step 2.1.2

Multiply $- 8$ by $40000$ .

$P (200) = - 320000 + 3200 (200) - 80000$

Step 2.1.3

Multiply $3200$ by $200$ .

$P (200) = - 320000 + 640000 - 80000$

$P (200) = - 320000 + 640000 - 80000$

Step 2.2

Simplify by adding and subtracting.

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Step 2.2.1

Add $- 320000$ and $640000$ .

$P (200) = 320000 - 80000$

Step 2.2.2

Subtract $80000$ from $320000$ .

$P (200) = 240000$

$P (200) = 240000$

Step 2.3

The final answer is $240000$ .

$240000$

$240000$

Step 3

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$