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
You should first consult with past teachers of a similar subject to determine if they they think it's fitting and then to your counselor/ scheduling official. (Please be sure you have any prerequisites for the course, have summerwork/ projects to complete)
Answer:
Some of the signs and symptoms of sleep disorders include excessive daytime sleepiness, irregular breathing or increased movement during sleep. Other signs and symptoms include an irregular sleep and wake cycle and difficulty falling asleep. Some common types of sleep disorders include:
Insomnia, in which you have difficulty falling asleep or staying asleep throughout the night.
Sleep apnea, in which you experience abnormal patterns in breathing while you are asleep. There are several types of sleep apnea.
Restless legs syndrome (RLS), a type of sleep movement disorder. Restless legs syndrome, also called Willis-Ekbom disease, causes an uncomfortable sensation and an urge to move the legs while you try to fall asleep.
Narcolepsy, a condition characterized by extreme sleepiness during the day and falling asleep suddenly during the day.
There are many ways to help diagnose sleep disorders. Doctors can usually treat most sleep disorders effectively once they're correctly diagnosed.
the answer is: A. You will complete online lessons, quizzes, and assignments such as journals, projects, and discussions.
Online lessons, journals, and projects is being done to deepen your understanding of the topics that being taught in your class. It might provide you with new information that are not taught by your teachers.
Quizzes and discussions are being done to challenge yourself in order to measure how much you understand the Topic.
Answer:
The carbon dioxide would affect the photosynthetic producers, which would change the primary productivity.
Explanation:
