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2 years ago

An influential famous hip-hop artist uses his music to express political and social issues. This is an example of

1 answer:

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Free rein leaders do not encourage creativity or give employees room to make decisions.

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The answer is false.

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3 years ago

Discuss the origin and development of macro economics

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Collection of differing attitudes that members of a public have about a particular issue.

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3 years ago

Read 2 more answers

Below is the graph of f ′(x), the derivative of f(x), and has x-intercepts at x = -3, x = 1 and x = 2. There are horizontal tang

Alexxx [7]

Answer:

1. f has an inflection point at x = -1.5

Explanation:

Let's analyze each statement given.

1. f has an inflection point at x = -1.5 --> TRUE

An inflection point is a point in which the function f(x) changes concavity: this means that the first derivative of a function has a relative minimum or maximum, and therefore the second derivative is zero, $f''(x_0)=0$ .

In this case, we see that at the point

x = -1.5

The first derivative is flat: this means that at this point, the second derivative is zero, so this is an inflection point.

2. f is increasing on the interval from x = -3.2 to x = -4.5. --> FALSE.

We simply don't know this: in fact, we cannot see the graph of the derivative between -4.5 and -3.2, therefore we don't know if the function is increasing or not.

3. f has a relative minimum at x = 1.5 --> FALSE.

A function $f(x)$ has a relative minimum at a point $x_0$ if the first derivative $f'(x)$ is zero at that point:

$f'(x_0)=0$

and moreover, the derivative is negative on the left of the point and positive on the right of the point.

This is not the case: in fact, we see that at x = 1.5 the first derivative is not zero, therefore this statement is not true.

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4 years ago