Calculus Examples

$s (t) = 2 t^{2} + 6 t$ , $t = 2$

Step 1

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

$s (2) = 2 {(2)}^{2} + 6 (2)$

Step 2

Simplify the result.

Tap for more steps...

Step 2.1

Simplify each term.

Tap for more steps...

Step 2.1.1

Multiply $2$ by ${(2)}^{2}$ by adding the exponents.

Tap for more steps...

Step 2.1.1.1

Multiply $2$ by ${(2)}^{2}$ .

Tap for more steps...

Step 2.1.1.1.1

Raise $2$ to the power of $1$ .

$s (2) = 2 {(2)}^{2} + 6 (2)$

Step 2.1.1.1.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$s (2) = 2^{1 + 2} + 6 (2)$

Step 2.1.1.2

Add $1$ and $2$ .

$s (2) = 2^{3} + 6 (2)$

Step 2.1.2

Raise $2$ to the power of $3$ .

$s (2) = 8 + 6 (2)$

Step 2.1.3

Multiply $6$ by $2$ .

$s (2) = 8 + 12$

Step 2.2

Add $8$ and $12$ .

$s (2) = 20$

Step 2.3

The final answer is $20$ .

$20$

Step 3