If you use the formula:
\frac {\partial z}{\partial x} = -\frac {\frac {\partial F}{\partial x}}{\frac {\partial F}{\partial z}}
then you will get an answer with only x, y and z in it. The function F has a constant value of zero when you create it by moving everything to one side of the...
Yeah, that trick works as well to find dz/dx.
It will give you something in terms of x and y...after all when taking partials with respect to some variable you will get all of those variables in the result.
q_1 and q_2 represents the net charge of the atoms. For example, if you have Fe^2^+ and Cl^-, then q_1 and q_2 would be 2 and 1, respectively. The second number would be positive because it accepts a negative charge by default, making the answer a positive number.
If each car is traveling at a constant speed as you say, then neither car is accelerating, which means that once car A passes car B, car B will not overtake car A again.
A lot of the dimensions are curled up into small shapes only visible at the Planck length, which accounts for why we don't experience them in everyday experiences.
This involves a portion of the Fundamental Theorem of Calculus which says:
The function:
F(x) = \int_{0}^{x} f(t) dt
is an indefinite integral or antiderivative of f. That is:
F'(x) = f(x)
Explicit form is simply in terms of a function F.
The only thing to consider for this problem is the acceleration due to gravity and the height of the ball from the bottom of the elevator.
The speed of the elevator is irrelevant because its acceleration is zero.
Use the same equation, but use the following numbers instead:
a =...
a) The formula \vec{c} \cdot \vec{d} = |\vec{c}| |\vec{d}| \cos \theta takes the cosine of the angle between the two vectors and multiplies the result by the magnitudes of the two vectors.
The angle between the two vectors is (-226° + 360°) - 62° = 134° - 62° = 72° = \frac{2\pi}{5}
The...
For a parabola, only one squared term is present, either on the x or y. The fact that there is only one squared term in that general form is what generates the parabola, which could be considered a function if the parabola is not turned on its side.
Think of the other three conic sections...