Calculus Examples

$f (2) = t \sqrt{4 - t^{2}}$

Step 1

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

$f (2) = (2) \sqrt{4 - {(2)}^{2}}$

Step 2

Simplify the result.

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Step 2.1

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

$f (2) = 2 \sqrt{4 - 1 \cdot 4}$

Step 2.2

Multiply $- 1$ by $4$ .

$f (2) = 2 \sqrt{4 - 4}$

Step 2.3

Subtract $4$ from $4$ .

$f (2) = 2 \sqrt{0}$

Step 2.4

Rewrite $0$ as $0^{2}$ .

$f (2) = 2 \sqrt{0^{2}}$

Step 2.5

Pull terms out from under the radical, assuming positive real numbers.

$f (2) = 2 \cdot 0$

Step 2.6

Multiply $2$ by $0$ .

$f (2) = 0$

Step 2.7

The final answer is $0$ .

$0$

Step 3