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:
The time of oil tanker will be 80 sec.
Explanation:
Given that,
He walks at 3 km/hour.
If the container ship is 100 m long, and travelling at 12 km/hour.
The distance will be 200 m.
We need to calculate the relative velocity
Using formula of relative velocity
Put the value into the formula
The distance is 200 m.
We need to calculate the time
Using formula of time
Put the value into the formula
Hence, The time of oil tanker will be 80 sec.
What are the the colleges they listed?
It is a circle with a ring around it
Answer:
I think the bake sale would be better because, if one we're to do a car wash they may not know how to wash a car and selling baked goods is WAY easier than a car wash. A car wash can be bad depending on the weather and the bake sale. So I would chose the bake sale, it's easier, faster and much more.
Explanation:
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