Calculus

Both had been working on similar ideas - on calculus - and Newton, who was considered by some contemporaries to be rather an arrogant man, was not amused to see someone else steal his thunder!

1000 cm squared is 1000 cm x 1000 cm = 1,000,000 cm2

1 meter is 100 cm

1 meter squared is 100 cm x 100 cm = 10,000 cm2

The two are not equal

1 cubic meter = 1000 liter = 10 6 cubic centimeter
1 liter = 1000 milliliter

1 cubic meter = 10 6 milliliter

meters times meters will give you square meters, not cubic meters. You can't convert from square meters to cubic meters.

Limits in calculus are used for two different, and important, areas. First, the derivative: the slope of a curve in a graph (practical applications include determining the instantaneous velocity) is defined as a limit. Second, the integral: the area under a curve in a graph is also defined as a limit.

3/8 + 1/2 =

3/8 + 4/8 =

7/8

-14

It is 2400000.

Well, look up those particular substances, you'll find that most might have actually pharmacologic effects in normal doses.

But the "X" you refer too is how many times said substance was diluted. The higher the number before the X, the weaker the end result.

In homeopathy they use an outdated principle called "water memory" (look up the wiki article). It's a ridiculous concept that has no place in modern medicine, but it's how they roll.

So, a 1X dilution means they take one part of the active ingredient, mix it with nine parts water, and shake vigorously. They then take 9/10 of this solution, and discard it.

For a 3X dilution they do this twice more, each time with the remainder AFTER throwing away the other 9 parts of the mixture.

You can see how this grows exponentially, and results in water. Just plain water, without a single molecule of the "active ingredient" contained within.

I know, I know. I'm just as peeved as you...

Waste of money on sugar pills.

That's what lactose is: A milk sugar. Just so you know.

I was wondering how they get a liquid dilution of a substance into pill form.

And the answer is, they don't. It's all lactose, probably with the water to bind it. Idk how it's made, but its results are strictly placebo.

The square roots are -19 and +19.

Finite math is a branch of mathematics that focuses on mathematical concepts that have finite, specific values or elements. It typically includes topics such as logic, set theory, probability, statistics, and linear algebra, which are applied to real-world problems with a limited number of possibilities. Finite math is often used in business, social sciences, and computer science to model practical situations.

Say you have a function of a single variable, f(x). Then there is no ambiguity about what you are taking the derivative with respect to (it is always with respect to x).

But what if I have a function of a few variables, f(x,y,z)? Now, I can take the derivative with respect to x, y, or z. These are "partial" derivatives, because we are only interested in how the function varies w.r.t. a single variable, assuming that the other variables are independent and "frozen".

e.g., Question: how does f vary with respect to y? Answer: (partial f/partial y)

Now, what if our function again depends on a few variables, but these variables themselves depend on time: x(t), y(t), z(t) --> f(x(t),y(t),z(t))? Again, we might ask how f varies w.r.t. one of the variables x,y,z, in which case we would use partial derivatives. If we ask how f varies with respect to t, we would do the following:

df/dt = (partial f/partial x)*dx/dt + (partial f/partial y)*dy/dt + (partial f/partial z)*dz/dt

df/dt is known as the "total" derivative, which essentially uses the chain rule to drop the assumption that the other variables are "frozen" while taking the derivative.

This framework is especially useful in physical problems where I might want to consider spatial variations of a function (partial derivatives), as well as the total variation in time (total derivative).

The angle of refraction can be calculated using Snell's Law: n₁sin(θ₁) = n₂sin(θ₂), where n₁ is the refractive index of air (1.00), θ₁ is the angle of incidence (35 degrees), n₂ is the refractive index of the plastic (1.49), and θ₂ is the angle of refraction. Plugging in the values gives: (1.00)sin(35) = (1.49)sin(θ₂). Solving for θ₂ gives an angle of refraction of approximately 23.6 degrees.

2.25 metric tonnes = 2250 kilograms. 2.25 short tons = 2 041.16566 kilograms. Source: Googled it.

5 inches are 12.7 centimeters.

Algebraic Steps / Dimensional Analysis Formula5 in*

2.54 cm

1 in

=

12.7 cm

In a pure interpreter whenever the interpreter meets a unit of code-say a line of code or a statement or a command-it must recompile that unit for execution. In an impure interpreter the original code is replaced by bytecode that will represent the meaning of the original code or references to lower level routines that will perform the work of the original code.

The derivative of ln x is 1/x. Replacing the expression, that gives you 1 / (1-x). By the chain rule, this must then be multiplied by the derivative of (1-x), which is -1. So, the final result is -1 / (1-x).

You use litres to measure the capacity of a car's gas tank.

21.7495

Fresnel's biprism is commonly used in experiments to study interference and diffraction of light. It can be used to produce interference fringes, measure the wavelength of light, and study wavefront properties. Additionally, it is used in optical systems for generating coherent light sources.

Mt Everest is two SiAl tectonic plates converging in a "knott." This means that they are generally light, sedementary rocks, mostly limestone.

Therefore the chemical compositions are: Silicon-, Aluminum-, and Calcium- Bicarbonates.

of Log, The business of felling trees, cutting them into logs, and transporting the logs to sawmills or to market.

The substance that gives leaves their green color is chlorophyll. Chlorophyll is a pigment found in the chloroplasts of plant cells and is essential for photosynthesis, the process by which plants convert sunlight into energy.