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:
Answers to numbers (Somebody else do another half)
1. If I could do something I've never done before, it'd be sky diving. I would want to go sky diving for the thrill of falling and descending back to Earth from a great height. Also, trying new activities is awesome, so why not do as much as you can while you're still here?
2. Pollution is bad because it kills the environment and people around us. Pollution may muddy landscapes, poison soils and waterways, or kill plants and animals. Humans are also regularly harmed by pollution. Long-term exposure to air pollution, for example, can lead to chronic respiratory disease, lung cancer and other diseases.
3. If I could go back to any place in time, I would stay right where I am. The world is already bad enough with political issues, protests, fires etc. Going back in time would do nothing but change the flow and disrupt how the world is working.
Answer:
A The map at the 1:24,000 scale is easily converted to non-metric measurements.The map at the 1:24,000 scale shows the town close-up in more detail.
Explanation:
- A scale of ration 1: 24,000 indicates that the distance on the map to the actual ground distance is large scale map and shows are a detailed close-up of the map. Also, they can be easily converted and thus a town planner decides to make use of this map for planning.
Answer:
I believe its true but not 100% sure.
Explanation:
