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:
Large molecules such as hormones
Explanation:
The other options either have channels within the membrane to move through (water has aquaporins, ions like potassium have their own channels) or can diffuse directly through the membrane (CO2). Protein hormones cannot move through the plasma membrane, nor can they diffuse through it. Hope this helps!
Answer:
Why was the westward expansion important?
Explanation:
To Jefferson, westward expansion was the key to the nation's health: He believed that a republic depended on an independent, virtuous citizenry for its survival, and that independence and virtue went hand in hand with land ownership, especially the ownership of small farms.
Past and light because it takes a minute for light to get from one place to another
Answer:
Explanation:
The speed of the ball in meters per second is
Where t denotes the number of seconds since the ball has been thrown and 
is the initial speed of the ball. Then:
If the ball travels 25 meters during the first 2 seconds after it is thrown, what was the initial speed of the ball
Also, for constant acceleration motion, the average velocity is equal to the sum of final and initial velocities divided by 2 and to the distance divided by the time:
Where you know:
Substituting (the units are ommited in the equationn, but added at end of the answer):
Thus, you have a system of equations:
Substituting the second into the first:
