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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

lesya [120]

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.

8 0

3 years ago

Sagutan Ang mga katanungan tungkol sa artikulong binasa

bazaltina [42]

nakalimutan mo po i post ang tanong plese post the question para maansetan na min

8 0

2 years ago

What floor can a hurricane or tornado hit even a wildfire what floor is the safest to be at?

Mila [183]

Answer:

little shelters/dips in the ground for the tornado and hurricane and on a inflammable floor like concrete or tarmac for the wild fire

Explanation:

im not 100 percent Shure if this is correct since the question wording is funny but if you go in a ditch the wind will more or less blow over you and the fire one tarmac and cement won't catch fire you just have to be on the center of it because it can blow onto it sometimes

6 0

3 years ago

What Plate Boundry on Jupiters moon Europa causes the ice to melt on the planet

vodomira [7]

East coast will be the one

3 0

3 years ago

Read 2 more answers

Why is students vaping in the school bathrooms important? Why should it be stopped

Sindrei [870]

The issue of students vaping in the school bathrooms important is of serious concern as it has been linked to some health issues. The reason that government or school authorities should stopped stop it are:

Student are getting addicted
A lot of health issues
Negative social behavior of student, etc.

<h3>How does vaping affect high school students?</h3>

The impact that vaping have on teenagers is mostly addiction. Nicotine is a highly addictive substance that is present in e-cigarettes. Addiction to vaping can develop even if you don't vape daily.

Nicotine tends to exacerbates depression and anxiety. Additionally, it has an impact on memory, focus, self-control, and attention, particularly in growing brains. Studies has shown gathering of students in the restrooms. Many pupils began to express that they felt unsafe using the restroom. Some people were concerned that if a teacher entered, they would be accused of vaping.

Learn more about vaping from

brainly.com/question/1983890
#SPJ1

3 0

10 months ago