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ozzi
3 years ago
11

What makes a mineral strategic?

Advanced Placement (AP)
1 answer:
krok68 [10]3 years ago
4 0
A common definition of a strategic mineral is a mineral that would be needed to supply the military, industrial, and essential civilian needs of the United States during a national emergency. They are not found or produced in the United States in sufficient quantities to meet this need.
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Integrate sec(4x)tan(4x)dx
emmainna [20.7K]

Answer:

sec(4x) + C

Explanation:

original problem: ∫sec(4x)tan(x)dx

use integration by substitution (u-sub) by setting u = 4x

if u = 4x, then du/dx = 4 and du = 4dx (dx = du/4)

after substitution the integral is ∫sec(u)tan(u)(du/4)

move the 1/4 out of the integral by using the integral Constant rule to form 1/4∫sec(u)tan(u)du

the anti-derivative of sec(u)tan(u) is sec(u), memorize your trigonometric derivatives!!!!

after integration, we get sec(u)/4 + C , now plug u back into the equation

sec(4x) + C is the general solution

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3 years ago
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2 years ago
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8 0
3 years ago
Although the Anti-Federalists lost their main goal, what important task did they accomplish?
Scorpion4ik [409]
The Anti-Federalists failed to grant the states the majority of the power (in a similar set-up to the Articles of Confederation), if I recall correctly. The important task they achieved was the addition of the Bill of Rights to the Constitution. They wanted to ensure that some of our most important rights were clearly defined and included in our nation's leading document.
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