Calculus Examples

$p (t) = 200 e^{- t}$ , $t = 2$

Step 1

Replace the variable $t$ with $2$ in the expression.

$p (2) = 200 e^{- (2)}$

Step 2

Simplify the result.

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Step 2.1

Multiply $- 1$ by $2$ .

$p (2) = 200 e^{- 2}$

Step 2.2

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$p (2) = 200 (\frac{1}{e^{2}})$

Step 2.3

Combine $200$ and $\frac{1}{e^{2}}$ .

$p (2) = \frac{200}{e^{2}}$

Step 2.4

The final answer is $\frac{200}{e^{2}}$ .

$\frac{200}{e^{2}}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{200}{e^{2}}$

Decimal Form:

$27.06705664 \dots$

Step 4