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Artemon [7]
3 years ago
9

A number decresed by 16

Advanced Placement (AP)
1 answer:
Naddika [18.5K]3 years ago
3 0

Answer:

A number decreased by 16 is <em>-16</em><em> </em>

  • <em>Thats</em><em> </em><em>profile</em><em> </em><em>pic</em><em> </em><em>LOLLL</em>
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Hello, I need help with a calculus FRQ. My teacher has given a hint that this last part has to do with the intermediate value th
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Answer:

Yes, at a time t such that (√2)/2 ≤ t ≤ 2.

Explanation:

To answer the question

Therefore, where the domain of the function is the set of all real numbers x for which f(x) is a real number we have

For Chloe's velocity

C(t) = t\times e^{4-t^2} \ for \ 0\leq t\leq 2

Finding the boundaries of the function gives;

0\times e^{4-0^2} = 0 and 2\times e^{4-2^2} = 2

At t = 1, we have 1\times e^{4-1^2} = e^{3} = 20.086

We find the maximum point as follows;

\frac{\mathrm{d} \left (t\times e^{4-t^2}   \right )}{\mathrm{d} x}=0

From which we have;

\frac{\mathrm{} e^{4-t^2} - t\times e^{4-t^2} \times2\times t }{(e^{4-t^2} )^2}=0

e^{4-t^2} - t\times e^{4-t^2} \times2\times t }=0

e^{4-t^2}(1 - t\times2\times t })=0\\e^{4-t^2}(1 - 2\times t^2 })=0\\

e^{4-t^2}=0 or (1 - 2\times t^2 })=0

∴ 1 = 2·t² and from which t = (√2)/2

Hence the function C(x) is decreasing from t = (√2)/2 to t = 2

For Brandon

For 0 ≤ t ≤ 1, 1 ≤ B(t) ≤8 and for 1 < t ≤ 2, 8 < B(t) ≤ 1.5

1 ≤ f(x) ≤ 1.5

Given that the function B(t) is differentiable, therefore, continuous, there exists a point at which the function C(t) and B(t) intersects given that;

For 0 ≤ t ≤ (√2)/2, 0 ≤ C(t) ≤ 23.416 for (√2)/2 < t ≤ 2, 23.416 > C(t) ≥ 2

and for  0 ≤ t ≤ 0  1 ≤ B(t) ≤ 8 and for 1 < t ≤ 2, 8 > B(t) ≥ 1.5

Therefore, the curves intersect at in between (√2)/2 ≤ t ≤ 2.

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Notes: Slavery allows it to be so harmful that it changes even the most kind people, making them mean. Education empowers the oppressed. Education is a powerful weapon for blacks. Deprivation can be used as an incentive. Nobody liked to be called an oppressor, even though it was.

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Douglass was deprived of studying, but this deprivation motivated him to strive and receive an education that would make big differences in his life. Last but not least, we can see that the whites knew that the violence of slavery was incorrect, since they did not want them to know that they were extremely violent and oppressive to the slaves they owned.

The author uses several rhetorical strategies that range from personal statements, which increase our empathy for him, to logical and correct statements that show us how that whole slave system worked and how it was manipulated to last. This all causes an extension of what we know about slavery.

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