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:
Carbon atoms
Explanation:
Mass no. of an element= no. of protons + no. of neutrons = 6 + 7 = 13
Atomic no. = no. of protons/electrons = 6
There is an unbalanced situation between the neutron no and proton no. so this has to be an isotope of Carbon-12, and this element is Carbon-13.
The supply curve will be composed of the following points
(10, 1000) from the statement: 1000 shoes in the market at $10
(25, 1200) from the statement: 12000 shoes at $25 per pair
(40, 1400) from the statement: <span>$40 per pair, the existing firms increase production to 1400 each</span>
The impact of migration from 2010 to 2017 created a large increase in immigrants in the continents of Africa and Europe.
During 2010-17 due to the expansion of population there was growth of slums and asylums.
- Most of the sub-Saharan moved to the European Union nations such as Norway and Sweden. Thus an over a seven-year period these refugees Most of the migrants came from Nigeria, Ghana, and Kenya.
- The possible impacts that the migrants made were seen in terms of financial support and gains.
Hence option B is correct, as more emigrants sent money home, this money helped in the growth of their country of origin.
Learn more about the From 2010 through 2017 there was a large increase in the number of migrants from Africa to Europe.
brainly.com/question/24814483.
