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-BARSIC- [3]
2 years ago
9

In Exploration 5.4.2 Question 2, what conclusion can you make about the value of the derivative at

Mathematics
1 answer:
givi [52]2 years ago
4 0

The value of the derivative at the maximum or minimum for a continuous function must be zero.

<h3>What happens with the derivative at the maximum of minimum?</h3>

So, remember that the derivative at a given value gives the slope of a tangent line to the curve at that point.

Now, also remember that maximums or minimums are points where the behavior of the curve changes (it stops going up and starts going down or things like that).

If you draw the tangent line to these points, you will see that you end with horizontal lines. And the slope of a horizontal line is zero.

So we conclude that the value of the derivative at the maximum or minimum for a continuous function must be zero.

If you want to learn more about maximums and minimums, you can read:

brainly.com/question/24701109

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Which graph shows the solution to the system of linear inequalities?
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<h2><u>Answer:</u></h2>

Which ordered pairs are in the solution set of the system of linear inequalities?

y > Negative one-halfx

y < One-halfx + 1

On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 0) and (4, negative 2). Everything above the line is shaded. The second dashed line has a positive slope and goes through (negative 2, 0) and (2, 2). Everything below the line is shaded.

(5, –2), (3, 1), (–4, 2)

(5, –2), (3, –1), (4, –3)

<h2><u>(5, –2), (3, 1), (4, 2)</u></h2>

(5, –2), (–3, 1), (4, 2)

Step-by-step explanation:

3 0
3 years ago
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Convert the polar representation of this complex number into its standard form z=4(cos150+isin150).
Katen [24]

Answer:

B

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Using the exact values

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sin150° = sin30° = \frac{1}{2}

Given

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  = 4(- \frac{\sqrt{3} }{2} +  \frac{1}{2}i )

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Rewrite in simplest radical form <br> 1/x^−3/6<br> Show each step of your process please!
Romashka [77]
\frac{1}{a^{-b} } =a^b \\c^{ \frac{a}{b} }= \sqrt[b]{c^a}  \\   \\  \frac{1}{x^{- \frac{3}{6} }}=\frac{1}{x^{- \frac{1}{2} }} =x^ \frac{1}{2} = \sqrt[2]{x^1} = \sqrt{x}
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4 years ago
Thank you all for helping me with every thing! I also need help with this one :)
Flauer [41]

Answer:

1.5/6

2.1/6

Step-by-step explanation:

5 0
3 years ago
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Find the product. (a2 + 2a + 1)(a + 1) a. A2 + 3a + 2 b. A3 + 3a2 + 3a + 1 c. A3 + 2a 2 + a + 1 d. A3 + 3a2 + a + 1
olchik [2.2K]

 (a + 1)(a² + 2a + 1)

= a(a² + 2a + 1) + 1(a² + 2a + 1)

= a³ + 2a² + a   + a² + 2a + 1

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