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:
Explanation:
Canada middle-class families with children are similar to those in the US that they avoid large urban area, rural area or brownfield site. They live as ex-pats only if they have to live overseas.
So the right answer is a middle-class family with two children in Canada is MOST LIKELY to settle <u>in a suburban area.</u>
Answer:
"I can't concentrate—it's really hard to focus on school work!" --------------->
I will find a way to concentrate on school work
"I am too disorganized and I never have enough time." "Some subjects are really hard for me to learn." ---------------->
I will make out time to learn these subjects that give me a tough time
"I get discouraged and stressed out." "I'm bad at taking tests." ---------------->
This may take some time, but I'm sure I'll ace those tests with proper practice
Explanation:
A growth mindset is a belief that intelligence can be developed and negative circumstances can be overcome.
Instead of using negative and defeatist statements, growth mindset emphasizes on never giving up, trying multiple ways to succeed and staying positive
Answer : Hopi.
Explanation : The Hopi tribe who are a Native American tribe, are the ones who primarily lived on the Hopi Reservation in northeastern Arizona.
These were the group of people who believed that humans emerged from a hole in the earth.