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: Green Driving (also known as Eco-Driving and Smart Driving) is a series of efficient driving practices that include avoiding unnecessary idling. Green driving is relatively new to the United States. In Europe, and other countries where fuel prices are two to three times higher, it has for years been a well-established practice, as it can save motorists significant sums of money annually. Green driving also reduces climate change producing carbon emissions, conserves energy, improves air quality, and even makes you a safer driver. Answer should be A.
- Martiinez <3
Basically, Benedict's test identifies the existence of aldehydes and alpha-hydroxy-ketones, also by hemiacetal, as well as those that take place in specific ketoses. Therefore, it is an alpha-hydroxy-ketone even if the ketose fructose is not strictly a reducing sugar, and provides a positive test since it is transformed into the mannose and aldoses glucose by the base inside the reagent.
The turbine in a hydroelectric plant take the kinetic energy to turn the generator which uses magnets to cause the electricity to start to run.
