This is just a mathematics question but factoring is use a lot of times to make numbers smaller and easier to work with that is in the case of GCF 14(x^2 + y^3) you would multiply it out but it is easier to work with
Answer:
1 hr on problems and 3 reading
Explanation:
1 hr on problems bc he's able to finish 40 problems which is better than reading for 1 hr since the teacher said reading for 1 hr is equivalent to solving 35 problems. in the 2nd, 3rd and 4th hours he solves less than 35 problems each hour so it's better to just read for an hour.
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
+0.75
The relationship is considered strong after 0.7