Trigonometry Examples

$i = 5.2 (1 - e^{- 0.61 l t})$

Step 1

Subtract $5.2 (1 - e^{- 0.61 l t})$ from both sides of the equation.

$i - 5.2 (1 - e^{- 0.61 l t}) = 0$

Step 2

Simplify $i - 5.2 (1 - e^{- 0.61 l t})$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$i - 5.2 \cdot 1 - 5.2 (- e^{- 0.61 l t}) = 0$

Step 2.1.2

Multiply $- 5.2$ by $1$ .

$i - 5.2 - 5.2 (- e^{- 0.61 l t}) = 0$

Step 2.1.3

Multiply $- 1$ by $- 5.2$ .

$i - 5.2 + 5.2 e^{- 0.61 l t} = 0$

Step 2.2

Reorder $i$ and $- 5.2$ .

$- 5.2 + i + 5.2 e^{- 0.61 l t} = 0$

Step 3

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.