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Lorico [155]
2 years ago
9

Which description shows the best balance of physical, social, and mental or emotional health?

Health
1 answer:
ArbitrLikvidat [17]2 years ago
7 0

Answer:

D. Terrence exercises for 30 minutes a day, eats well, and enjoys new challenges.

Explanation:

Health can be defined as a state of well-being where all of the components with respect to good health are in balance. These state of well-being comprises of six (6) important components and they are;

1. Physical: this is a measure of the state of an individual's body or the way the body functions. It is enhanced by eating right, working out or exercising, avoiding drugs and alcohol, maintaining a good body mass index etc.

2. Emotional: this deals with the state of an individual's mind being void of worries, negativity etc.

3. Social: this involves keeping a good relationship with friends, family and many others around.

4. Environmental: it deals with maintaining a hygienic surrounding, that is devoid of pollutants.

5. Mental or intellectual: avoiding unnecessary stress and anxiety while dealing or coping with the realities of life.

6. Spiritual: it encompasses belief systems, values, ideals, morality etc.

An aerobic exercise refers to all forms of physical activity that an individual engages in, in order to increase the heart rate (from low to high intensity) in response to the level of oxygen required by any activated or working muscle in the human body.

Some examples of aerobic exercise (cardiofitness activity) includes cycling, swimming, jogging, walking, skiing etc.

Generally, fitness experts usually advises everyone to judiciously engage in cardiofitness activities or exercises so as to improve well-being, body mass index (BMI), wellness or heart health.

Hence, the description which shows the best balance of physical, social, and mental or emotional health is, Terrence exercises for 30 minutes a day, eats well, and enjoys new challenges.

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

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

General Formulas and Concepts:

<u>Algebra I</u>

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  • Factoring

<u>Calculus</u>

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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
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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:

<u>Step 1: Define</u>

<em>Identify</em>

y = x(1 + x)³

<u>Step 2: Differentiate</u>

  1. 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]
  2. 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])
  3. Basic Power Rule:                                                                                             \displaystyle y' = x^{1 - 1} \cdot (1 + x)^3 + x \cdot 3(1 + x)^{3 - 1} \cdot (0 + x^{1 - 1})
  4. Simplify:                                                                                                             \displaystyle y' = (1 + x)^3 + 3x(1 + x)^2
  5. Factor:                                                                                                               \displaystyle y' = (1 + x)^2 \bigg[ (1 + x) + 3x \bigg]
  6. 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

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