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DerKrebs [107]
3 years ago
8

Plz help me with 1 ,2,and 3 as I'm having trouble

Advanced Placement (AP)
1 answer:
olchik [2.2K]3 years ago
7 0

The Air mass is a volume of air defined by the temperature and water vapor content. A front is the boundary between the two air masses.

High-pressure systems is characterized by relatively high surface pressures. Low pressure is associated in the overall ascent of air, cloud and stormy weather, strong winds, and relatively high humidity.

The Jet stream is the fast flowing air current that occurs in the atmosphere of Earth and the other planets. Global wind belt is formed by the Earth's spin and the unequal heating of the Earth's sunlight!



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How have the uses of photography changed over the years? Compare and contrast the historical uses of photography with the ways t
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Explanation:

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Sigmund Freud learned about his patients by conducting experiments in his laboratory.   Please select the best answer from the c
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The answer to the statement given is False.

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When living on campus one way to save money is to A) live by yourself B) make sure that utilities are excluded from your rent C)
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make sure utilities are included in the rent.

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I am so confused please help asap! (calc, integrals) please explain as well
iVinArrow [24]

Answer: A.) 8

Explanation:

Use u-substitution.

(1) Let u=x^3

By the power rule, du/dx=3x^2

Multiplying by dx and dividing by three, we have du/3=x^2dx

To find the new lower bound of integration, plug the old bound, -3, for x in equation (1). We get u=(-3)^3= -27

Similarly, when the upper bound 3 is plugged in, u=27

Now, replacing f(x^3) with f(u) and x^2dx with du/3:

\int\limits^{3}_{-3} {x^2f(x^3)} \, dx= \int\limits^{27}_{-27} \frac{f(u)}3 \, du \\=\frac{1}3\left[\int\limits^{0}_{-27} {f(u)} \, du+\int\limits^{27}_{0} {f(u)} \, du \right] (2)\\Observe:\int\limits^{0}_{-27} {f(u)} \, du=\int\limits^{27}_{0} {f(u)} du\; \text{ because f(x) is an even function}\\\text{Substitute the left hand side integral for the RHS in equation (2):}\\=\frac{1}3\left[2\int\limits^{27}_0 {f(u)} du\right]\\=\frac{1}3 (2)(12)=8

since the value of the first integral of the question = 12, which is given. Although the variable is different than the given (u instead of x), it's still the same integral

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