Calculus Examples

$180 - 20 e^{- 0.5 t}$ , $t = 6$

Step 1

Replace the variable $t$ with $6$ in the expression.

$180 - 20 e^{- 0.5 \cdot 6}$

Step 2

Simplify each term.

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Step 2.1

Multiply $- 0.5$ by $6$ .

$180 - 20 e^{- 3}$

Step 2.2

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

$180 - 20 \frac{1}{e^{3}}$

Step 2.3

Combine $- 20$ and $\frac{1}{e^{3}}$ .

$180 + \frac{- 20}{e^{3}}$

Step 2.4

Move the negative in front of the fraction.

$180 - \frac{20}{e^{3}}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$180 - \frac{20}{e^{3}}$

Decimal Form:

$179.00425863 \dots$