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
<span>D. the poverty threshold. This differs based on geography (certain areas of the country are more expensive to live in than others) and family size.</span>
Chinese may take it particularly offensive Greco Roman Empire is table etiquette and behavior towards food. There are customs in Greco Roman empire that is taboo to Chinese. One particular example is that extravagant Roman feast would last up to 10 hours, they would eat until they vomit and then eat again until the feast is over. They also eat mammary gland of cows, flamigoe tongue and elephants that are unusual to Chinese. One similarity of these empires would be the use of minted coins in trades.
The family is not very strong at promoting nationalism: for once, there can be family members of other nationalities, which would promote multinationalism! so we can reject a) and c)
now, military and state religion are both found in the other options and we have to choose between school and athletics - and school is more effective! so the correct answer is D.