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2 years ago

The question below is an incomplete sentence. Choose the word that best completes the sentence.

Health

2 answers:

grigory [225]2 years ago

8 0

Hii!! I believe the correct answer is C. but. (:

alina1380 [7]2 years ago

5 0

Answer:

I think the answer should be but, because the other words dont really fit in.

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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

2 years ago

What did Samurai's believe in, and what were the ir va alues?

iren [92.7K]

Answer:

justice, courage, benevolence, respect, honesty, honor, and loyalty.

Explanation:

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2 years ago

Projective personality tests such as the Rorschach test are most related to which field of psychology?

iren2701 [21]

Answer:

Clinical Psychology

Explanation:

In clinical psychology, this test is used to measure a person's personality and emotional functioning. it is used to detect thought disorders in situations where a person finds it a problem to relay their thoughts, motives or desires openly. In this test, the individual is asked to look at inkblot images and describe what they see.

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2 years ago

If you have a bowl with six apples and you take away four, how many do you have?

anastassius [24]

Answer:

the answer is 6 because all you did was take the two apples out of the bowl

Explanation:

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2 years ago

How can decreasing your intake of total fat, saturated fat, trans-fat, and cholesterol improve your health status?

Elina [12.6K]

Saturated fats can raise your total cholesterol and increases the risk of heart disease but decreasing intake of saturated fats can reduce your cholesterol.

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2 years ago