Answer:
Average rate of change = 10
Explanation:
Average rate of change = 
a = 2
f(a) = f(2) = (-2)² + 3(2) + 1 = 4 + 6 + 1
f(a) = 11
b = 5
f(b) = f(5) = (-5)² + 3(5) + 1 = 25 + 15 + 1
f(b) = 41
Thus:
Average rate of change = 

Average rate of change = 10
4 sinx / cosx * cosx
4 tanx / cosx Trig identity tanx = sinx/cosx
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:
Create a user manual for the vacuum cleaner.
Develop marketing content for the vacuum cleaner.
Write a product description of the vacuum cleaner.
Explanation:
I just took the test. 100% correct.