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3 years ago

12

The Empire State Building is 1,454 feet tall (if you include the lightning rod). If a piece of gum is dropped from the top, how

many seconds will it take for the gum to hit the street assuming no air resistance?

1 answer:

lana66690 [7]3 years ago

3 0

gravity is 32.17 ft/sec

1454 ÷ 32.17 = 45.20 seconds = answer

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3 years ago

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What is the largest possible integral value in the domain of the real-valued function

kotegsom [21]

Answer:

Max Value: x = 400

General Formulas and Concepts:

<u>Algebra I</u>

Domain is the set of x-values that can be inputted into function f(x)

<u>Calculus</u>

Antiderivatives
Integral Property: $\int {cf(x)} \, dx = c\int {f(x)} \, dx$
Integration Method: U-Substitution
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Step-by-step explanation:

<u>Step 1: Define</u>

$f(x) = \frac{1}{\sqrt{800-2x} }$

<u>Step 2: Identify Variables</u>

<em>Using U-Substitution, we set variables in order to integrate.</em>

$u = 800-2x\\du = -2dx$

<u>Step 3: Integrate</u>

Define: $\int {f(x)} \, dx$
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<u>Step 4: Identify Domain</u>

We know from a real number line that we cannot have imaginary numbers. Therefore, we cannot have any negatives under the square root.

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2 years ago

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