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:
I would change to fit in.
Explanation:
There are so many people that could "look cooler" or be "prettier" why we like to change the way we are.
Yes it actually does because in most schools you have to have a gpa of 4.0
<u>Answer:</u>
A workplace is a place where somebody is employed by his or her employer. There are four main types of corporate cultures:
- An organization of stars (competitively);
- An organization based on the cause; and
- A company that believes in doing wonderful things while it's still small.
My Ideal workplace:
"I love a quick pace atmosphere which allows to develop my talents by learning from other members of the team more of like an organization of stars, in which I can have both competition and smooth working relationship with the people around me. While I'm doing my best in a calm atmosphere myself, I really like grabbing coffee in my leisure time with teammates(informal) and working together using ideas(formal)”.
Answer:
Visible Light Absorption
Atoms and molecules contain electrons. It is often useful to think of these electrons as being attached to the atoms by springs. The electrons and their attached springs have a tendency to vibrate at specific frequencies. Similar to a tuning fork or even a musical instrument, the electrons of atoms have a natural frequency at which they tend to vibrate. When a light wave with that same natural frequency impinges upon an atom, then the electrons of that atom will be set into vibrational motion. (This is merely another example of the resonance principle introduced in Unit 11 of The Physics Classroom Tutorial.) If a light wave of a given frequency strikes a material with electrons having the same vibrational frequencies, then those electrons will absorb the energy of the light wave and transform it into vibrational motion. During its vibration, the electrons interact with neighboring atoms in such a manner as to convert its vibrational energy into thermal energy. Subsequently, the light wave with that given frequency is absorbed by the object, never again to be released in the form of light. So the selective absorption of light by a particular material occurs because the selected frequency of the light wave matches the frequency at which electrons in the atoms of that material vibrate. Since different atoms and molecules have different natural frequencies of vibration, they will selectively absorb different frequencies of visible light.
