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Calculus

The branch of mathematics that deals with the study of continuously changing quantities, with the use of limits and the differentiation and integration of functions of one or more variables, is called Calculus. Calculus analyzes aspects of change in processes or systems that can be modeled by functions. The English physicist, Isaac Newton, and the German mathematician, G. W. Leibniz, working independently, developed calculus during the 17th century.

25,068 Questions

Square meter to cubic meter?

There can be no conversion.

A ton is a measure of mass. A cubic metre is a measure of volume. The two measure different things and, according to basic principles of dimensional analysis, conversion from one to the other is not valid.

What are both sides of an equation equal to?

In Chemistry, this is the known as the Law of Conservation of Matter. While the moles of individual substances may change, the number of atoms of reactants is the same as the number of atoms of products.

What is spherical harmonic function?

Spherical harmonic functions are a set of functions defined on the surface of a sphere, often used to represent physical properties or solutions to differential equations that exhibit spherical symmetry. They are commonly used in fields such as geophysics, quantum mechanics, and computer graphics for tasks such as analyzing global data, modeling atomic orbitals, or generating realistic lighting effects. Each spherical harmonic function is characterized by two integer indices, and they form a complete orthonormal basis set on the sphere.

What makes things alive?

  • Genetic code -- DNA or RNA; copies passed down from parents to offspring.
  • Grows & develops -- Ex. Seed to Plant or Egg&sperm to fetus to infant to child to adult.
  • Responds to stimuli -- signal that causes a response.
  • Reproduce -- Produce new organism; sexually: 2 parents mate to form new organism. and Asexually: Single organism produce identical offspring by itself.
  • Homeostasis -- stable internal environment.
  • Use material & energy -- Take in materials to help you grow, develop & reproduce.
  • Made up of cell(s) -- smallest unit of life.
  • Evolve -- Species changing over a long period of time. changes happen over hundreds or thousands of years.

What is the basic rules in math equations in addition or brackets or division which goes first?

The answer is PEMDAS (Parenthesis, Exponents [like squared or cubed], Multiplication, Division, Addition, Subtraction). Brackets come before this expression always, so you could say BPEMDAS. Brackets first, division second, and addition last. Hope that helps.

concepts of addition,subtraction,multiplication and division comes under the study of basic math. Solving math equations use this rule called as BODMUS rule. which defines the priority of solving equation

B- brackets first

O- order

D-division

M-multiplication

A-addition

S-subtraction

If a beam of light strikes a diamond at an angle of 45 degrees what is the angle of refraction?

The angle of refraction for a beam of light striking a diamond at an angle of 45 degrees will depend on the refractive index of the diamond material. The angle of refraction would be less than 45 degrees due to the bending of light as it enters the denser medium of the diamond.

Which group of nonmetals are most reactive?

The halogens are the most reactive group of nonmetals. This group includes elements like fluorine, chlorine, bromine, and iodine, which readily react with other elements to form compounds. They have high electronegativity and tend to gain electrons in chemical reactions.

What is Potash also known as?

Potash is also known as potassium carbonate, a potassium salt that is commonly used in fertilizers and industrial applications.

What year did Isaac Newton start dating miss storer?

Seeing as history shows that Miss Catherine Storer called off their marriage when Newton was 19 (in 1662, by basic math. He was born in January of 1643.), we can only assume that they were dating some time before then... He moved into the apothecary where she lived when he was 12, so that would give them a range of six or seven years to be together. Many sources say they were childhood sweethearts, Newton often making furniture and dollhouses for her dolls.

So, I would put the time the started dating from between 1655 and 1662.

What is a practical application?

A practical application is a specific way in which a concept or theory is put into use to solve a real-world problem or achieve a specific goal. It involves implementing an idea or process in a tangible way that delivers measurable results and benefits.

What does 3 3 equal?

That depends on what you are doing with the 3s... unfortunately, the numerical symbols are getting erased when you ask a question. Here are some possibilities:

3 + 3 = 6

3 x 3 = 9

3 - 3 = 0

3 divided by 3 = 1

Did Isaac Newton really discover viscosity?

Isaac Newton did not discover viscosity, but he did develop mathematical equations to describe the behavior of fluids in motion, including viscosity. He formulated Newton's law of viscosity, which states that the shear stress between adjacent fluid layers is directly proportional to the velocity gradient between the layers.

What is 1 gallon equal to?

One hundred twenty eight fluid ounces is in a gallon. There are two cups (8oz per cup) in a pint. Two pints (16oz per pint) in a quart, and 4 quarts (32 oz per quart) in a gallon (128 fluid ounces).

Function of calorimeter?

A bomb calorimeter is a type of constant-volume calorimeter used in measuring the heat of combustion of a particular reaction. Bomb calorimeters have to withstand the large pressure within the calorimeter as the reaction is being measured. Electrical energy is used to ignite the fuel; as the fuel is burning, it will heat up the surrounding air, which expands and escapes through a tube that leads the air out of the calorimeter. When the air is escaping through the copper tube it will also heat up the water outside the tube. The temperature of the water allows for calculating the calorie content of the fuel.[ or kilojoules if using those units]

What are desiccators and what is their function?

Desiccators are things we use to get moisture out of the air. They are used to keep things dry in closed packaging to preserve the packaged item(s). The little packets are frequently packed into electronic equipment at the factory to keep things nice 'til you open them up. The small packs are usually marked "do not eat" and commonly appear to be little white beads.

What is lenz's law?

The Lenz Law is "An induced electromotive force generates a current that induces a counter magnetic field that opposes the magnetic field generating the current." It was invented by a Russian Physicist named Heinrich Lenz.

What is a gradient?

It is the difference in concentration (molecules of a solute per volume of solution) between two locations. Because of the motion of molecules, they are said to diffuse (move, spread) from an area of greater concentration to an area of lesser concentration. Some molecules are always moving in the opposite direction, but the overall trend is "down" the gradient until equilibrium is established between the two regions. And, generally, the larger the gradient or difference, the faster the rate of the diffusion.

What is the function of quiescent centers in roots?

Quiescent centers in roots are regions of cells that can divide and differentiate into various root tissues. They play a crucial role in root development by replenishing the pool of stem cells and maintaining the growth and regeneration of roots throughout the plant's life cycle.

What is the pH of pure water?

The pH of "pure" water at room temperature is 7.0

(Temperature will have an effect on pH of pure water. As the temperature increases so does the dissociation of hydrogen ions from H20)

The pH scale runs from roughly 0 to 14

(acids) 0 1 2 3 4 5 6 (neutral) 7 (bases) 8 9 10 11 12 13 14

pH is defined as the 'negative value of 10log(molar concentration of [H+]aq ),

so in pure water [H+]aq = 1,0 x 10-7 = 0,000.000.1 mol/liter,

pH = -10log(molar concentration of [H+]aq ) = 10log(1,0 x 10-7 ) = 7.0

Absolutely 100% pure water will have a pH of exactly 7. However, if exposed to normal air it will dissolve carbon dioxide and form carbonic acid (which lowers the pH to around 6, give or take half a pH).

This is a lot more complicated than it would appear.

The nominal answer is 7. If you have extremely pure water, however, in contact with air, it will absorb enough CO2 to have a pH of about 6.5, and a resistivity of about 1

However, pH is a measure of the hydronium ion in water, and in extremely pure water, there is no ionization, which is why it will have resistivity about 15 million times that of regular distilled or deionized water.

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  • At 25° C the pH of pure water is very close to 7.
  • Acids have a pH less than 7 while bases have a pH greater than 7.
  • Because it has a pH of 7, water is considered to be neutral. It is neither an acid nor a base, but is the reference point for acids and bases

Give an example of a hyperosmolar solution?

An example of a hyperosmolar solution is a 30% solution of saline, which has a higher osmolarity compared to normal saline (0.9% NaCl). This solution is used in specific medical situations like severe hyponatremia or to draw fluid out of brain cells in cases of cerebral edema.