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
Your descriptors are mostly correct, assuming the column headings are something like ...
... function ... domain ... range ... odd/even ... intercepts ... increasing/decreasing ... ??? ... critical points
_____
√x is increasing on the interval [0, ∞). There is no branch where the function is decreasing.
1/x has a critical point at x=0. The slope is undefined there.
One of the six (6) approaches to changing an undesirable behavior in toddlers is: d. all of the above.
<h3>What is behavior modification?</h3>
Behavior modification is a therapeutic process that changes any undesirable behavior in an individual, especially through the use of positive or negative consequence and biofeedback.
In Psychology, the six (6) approaches to changing an undesirable behavior in toddlers are:
- Teach them socially acceptable behaviors.
- Ignore the behavior you want toddlers to change.
- Restructure the situation.
- Pay keen attention to a behavior that is socially acceptable.
- Prevent any harmful behavior from happening.
- Redirect this energy when necessary and appropriate.
Read more on behaviors here: brainly.com/question/15600167
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Nothing...We would all die due to the chill.
