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
When Thomas Jefferson referred to the Missouri Compromise he described it as “ fire bell in the night”. This is because he saw it as a pressing matter and he saw this as an emergency since a fire bell at night indicates that there is an emergency.
Hope this helps! :3
Answer:
The James-Lang theory states that our experiences of emotion is our awareness of our physiological responses to emotion-arousing stimuli, meaning that your body does certain thing which is then followed by an emotion. For example, your heart racing, and body shaking would be followed by a sudden rush of fear.
The Cannon-Bard theory states that an emotion arousing stimulus simultaneously triggers a physiological response and the subjective experience of an emotion. Disagreeing with the James-Lang theory, the Cannon-Bard suggests that the feeling of fear does not cause your heart rate to increase but your heart rate increasing, does not evoke a feeling of fear, rather, these are both separate occurrences that happen simultaneously.
The two-factor theory states that to experience emotion, you must be physically aroused and cognitively label the arousal. This means that in order to feel an emotion you have to be consciously aware of the stimuli provoking and causing the emotion.
The Zajonc, LeDoux, and Lazarus theory states that some emotions can occur instantly with out conscious appraisal.
Explanation:
I just wrote this, i hope it helps :)
Answer:
bias is someone's argument or opinion
