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
13 is the 3rd one
17 is the 2nd one
18is the 3rd one
24 is the 3rd one.
Hope this helps!
Epiphany is what can be considered a major realization that can change a persons perspective for better or worse.
Empathy, a skill needed by not just by mankind but all living things, the skill to relate to something’s pain or sorrow.
Sorry that’s all I have
One movement that came to mind for me was the “Black Lives Matter” group and movement. The moment that group was created the government and F.B.I. thought of it as them becoming a security threat. I believe formations of those groups shouldn’t require approval, but rallies or parades should.
Answer: more than 30,000
Explanation:
The U.S. Coast guard has protected the U.S. coastline for centuries. They provide maritime law enforcement, aid navigation, protect the marine environment and most relevantly, embark on search and rescue missions.
The year 2013 saw them respond to more than 30,000 search and rescue missions which enabled them to save over 7,000 lives.
