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: 0.790 g/cm3
Explanation:
The density of acetone is 790 Kg/m3.
To convert from Kg to g we multiply by 1000 (1 Kg = 1000 g)
To convert from m3 to cm3 we multiply by 10∧6
So, The density of acetone in (g/cm3) = (790 x 1000) / (10∧6) = 0.79 g/cm3
Respirators should always be removed outside the patient room, after the door is closed.
Answer:
The use of improved plant hybrids and agricultural chemicals
Explanation:
According to history, India witnesses a huge surge in the the amount of wheat produced in the country between 1950 - 1990 ; This surge in production has made wheat the main cereal crop in the country with about 30 million of hectares of land being used to cultivate the cereal crop as of today. The huge surge over the 40 year period whereby production more than doubled could be attributed to the advancement and upgrade in the crop type and agricultural chemicals being adopted. These hybrid crops germinated faster and produced good yield which boasted more production and drove revenue to better height.
Answer: For student who chose art, the number of grade 8 students was at least 100% greater than the number of grade 7 students
Explanation:
Grade 7 has about 7 students
Grade 8 has about 17 students
If you added 100% of the grade 7 students to that same art class you would only have 14 students, grade 8 still has more.
