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3 years ago

How does lack of sleep affect risk of injury?

Health

2 answers:

NARA [144]3 years ago

8 0

I think it would be D

patriot [66]3 years ago

8 0

Answer:

The answer is C)

Explanation:

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Differentiate the following functions (i) x(1+x)^3

statuscvo [17]

Answer:

$\displaystyle y' = (1 + x)^2(4x + 1)$

General Formulas and Concepts:

Algebra I

Terms/Coefficients
Functions
Function Notation
Factoring

Calculus

Derivatives

Derivative Notation

Derivative Property [Addition/Subtraction]: $\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)]$

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Derivative Rule [Product Rule]: $\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)$

Derivative Rule [Chain Rule]: $\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)$

Explanation:

Step 1: Define

Identify

y = x(1 + x)³

Step 2: Differentiate

Product Rule [Derivative Rule - Chain Rule]: $\displaystyle y' = \frac{d}{dx}[x] \cdot (1 + x)^3 + x \cdot \frac{d}{dx}[(1 + x)^3] \cdot \frac{d}{dx}[1 + x]$
Derivative Property [Addition/Subtraction]: $\displaystyle y' = \frac{d}{dx}[x] \cdot (1 + x)^3 + x \cdot \frac{d}{dx}[(1 + x)^3] \cdot (\frac{d}{dx}[1] + \frac{d}{dx}[x])$
Basic Power Rule: $\displaystyle y' = x^{1 - 1} \cdot (1 + x)^3 + x \cdot 3(1 + x)^{3 - 1} \cdot (0 + x^{1 - 1})$
Simplify: $\displaystyle y' = (1 + x)^3 + 3x(1 + x)^2$
Factor: $\displaystyle y' = (1 + x)^2 \bigg[ (1 + x) + 3x \bigg]$
Combine like terms: $\displaystyle y' = (1 + x)^2(4x + 1)$

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Derivatives

Book: College Calculus 10e

5 0

3 years ago

What would 20 percent of the population report as a barrier for working out?

mr_godi [17]

Answer: (D) living in a community that does not have parks or a gym facility

Explanation: just took it

7 0

3 years ago

Read 2 more answers

Which is an effective way to prevent bullying and harassment? acting aggressively joining disrespectful groups staying quiet whe

Marina86 [1]

Answer:

practicing mutual respect in relationships

Explanation:

Bullying occurs due to lack of respect and one person thinks they are supperior in ther relationship. So to effectively prevent it is through mutual respect from both sides.

6 0

3 years ago

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Which of the following statements is TRUE?

Lina20 [59]

Answer:

Option (e).

Explanation:

Nervous system is one of the most important systems of the organism that helps them to respond them towards the environment. The nervous system includes the brain, spinal cord and all the neurons.

Nervous system is present in highly complex organism and increases in complexity in case of higher animals. Lower animals do not have nervous system but still they respond to their environment with the help of chemical and receptor. Hence, all the animals have the ability to respond towards the environment.

Thus, the answer is option (e).

7 0

3 years ago

What is Chondrodermatitis?

Talja [164]

Chondrodermatitis nodularis helicis is an inflammatory skin condition that affects the ear. It causes a painful bump to develop on the top rim or helix of the ear or the curved piece of cartilage just inside, known as the antihelix. The condition, abbreviated to CNH, is also known as Winkler disease.

3 0

2 years ago

Read 2 more answers