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
Answer: x + 30 = 10 and x + 30 = –10
Explanation: The two equations can be used to find the minimum and maximum depths Laurie wants to stay between is the below:
x + 30 = 10 and x + 30 = -10
Hope this helps!
Answer:
3,3
Explanation:
-7 - -4 can translate to 7-4, which equals 3. 6-3 equals three so that is your 3,3.
Answer:
The phrase "why of where" refers to the idea that explanation of spatial pattern is crucial.
Explanation: The phrase 'why of where' is to associate special importance to the elaboration and description of the spatial pattern of a specific place. The idea comes from the importance of detailing in the discipline of Geography. 'Why of where' simply means specifications and details of a given place in terms of its spatial pattern.
Hope this Helps!
Answer:
show us the first paragraph
Explanation:
so m\we can answer
