Calculus Examples

$h (5) = - 16 t^{2} + 160^{t} + 125$

Step 1

Replace the variable $t$ with $5$ in the expression.

$h (5) = - 16 {(5)}^{2} + 160^{5} + 125$

Step 2

Simplify the result.

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Step 2.1

Simplify each term.

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Step 2.1.1

Raise $5$ to the power of $2$ .

$h (5) = - 16 \cdot 25 + 160^{5} + 125$

Step 2.1.2

Multiply $- 16$ by $25$ .

$h (5) = - 400 + 160^{5} + 125$

Step 2.1.3

Raise $160$ to the power of $5$ .

$h (5) = - 400 + 104857600000 + 125$

$h (5) = - 400 + 104857600000 + 125$

Step 2.2

Simplify by adding numbers.

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Step 2.2.1

Add $- 400$ and $104857600000$ .

$h (5) = 104857599600 + 125$

Step 2.2.2

Add $104857599600$ and $125$ .

$h (5) = 104857599725$

$h (5) = 104857599725$

Step 2.3

The final answer is $104857599725$ .

$104857599725$

$104857599725$

Step 3

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$