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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
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.
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.
How long does it take an ice cube to melt?
What my people tell me is that, on a plastic lid it last about 1 hr. and 42 minutes.
That depends on the volume of the ice cube, the surface area (determined by the shape), how much heat you have available and in what form.
To find the CUBE root , we note that 27 is 3^(3) . So '3' is the cube root of '27'.
Also 8 = 2^(3) . so '2' is the cube root of '8'.
So the cube root of 26 is between '2' & '3'.
Since it is very close to '3' ; (by 26 & 27) they we can try 2.9^3
2.9^(3) = 24.389 (2.9 is too low) So try 2.95
2.95^(3) = 25.67.. ( Still too low) Try 2.975
2.975^(3) = 26.333 .. ( Now too high) So try 2.97
2.97^(3) = 26.198 ( Too high Try 2.968
2.968^(3) = 26.145... (Too high ; try 2.965
2.965^(3) = 26.065... (Too high : try 2.964
2.964^(3) = 26.0396 (Too high )
You keep trying like this. Until you find the root to the required number of decimal places.
However on the calculator 26^(1/3) = 2.962496068....
What is the range of the function y 2sin x?
y = 2sin(x)?
If that's your function, well we know that sin(x) oscillates between y = 1 and y = -1, but in our case we have double that from 2sin(x), so our range is -2 to 2.
What is y cubed minus two y squared plus 4 y?
y^(3) - 2y^(2) + 4y
Factor out 'y'
Hence y(y^2 - 2y + 4)
This will not factor any further.
What are the exact solutions of x2 equals 5x plus 2?
x^(2) = 5x + 2
x^(2) - 5x - 2 = 0
This does NOT factor so apply the Quadratic Eq;n
x = { - - 5 +/- sqrt[(-5)^2 - 4(1)(-2) }} / 2(1)
x = { 5 +/- sqrt[25 + 8]} / 2
x = { 5 +/- sqrt(33)} / 2
x= { 5 +/- 5.7445... } / 2
x = 10.7445... / 2 = 5.37228....
&
x = -0.7445626... / 2 = -0.37228...
NO!!!
Sine40 = Cosine50 = 0.64278...
Sin30 = Cos 60 = 0.5
Sin 0 = Cos 90 = 0
Sin 90 = Cos 0 = 1
From Latin the word 'Sine' means 'curve'. Cosine means 'Complimentary Sine' or Complimentary curve'.
The 'awkward' decimal numbers are based on a the radius of a circle, that radius being the hypotenuse of a right- triangle based at the circles origin/centre.
y^2 + 4y + 4 = 7
Hence
y^2 + 4y -3 = 0
Apply the Quadratic Eq'n
y = { - 4 +/- sqrt[(4)^(2) - 4(1)(-3)]} / 2(1)
y = { -4 +/- sqrt[ 16 + 12]} / 2
y = { 4 +/- sqrt(28)]}/ 2
y = {4 +/- 5.2915....} /2
y = 9.2915/// / 2 = 4.64575....
&
y = -1.2915... / 2 = -0.64575....
What is the answer to a x a x a plus b x b x b equals c x c x c?
well it could be anything, but I think you are thinking of Pythagoras' theorem.
a(2) x b(2) = c(2) (2) = squared
What is x squared plus 12x plus 36 equals?
x2 + 12x + 36 = 0(x + 6) (x + 6) = 0
x+ 6=0 ;x + 6 = 0
x = -6 ; x = -6
the ratio 8:19 and the qoutient is 2 and the percent is 30
If the population of a country increases by 2.5% yearly, then that is a multiplicative factor of 1.025. Between 1960 and 2000, there are 40 years, so raise that factor to the power to 40, 1.02540, and you get 2.685. If the starting population in 1960 were 25 million, then, with a population growth of 2.5% per year, the population in 2000 would be 2.5 million times 2.685, or 6.7 million.
There are 24 hours in a day and 60 minutes in an hour. So,
24 * 60 = 1440 minutes in a day
================================================you can figure out othe month lengths yourself now
x0.5 is the same as x1/2
Any number or variable to a fraction power can be written as a form of a radical.
In this case it would be written as √(x)
To actually solve you would need to know what x is.
- Philadelphia City Hall: Represents Second Empire style.
- Eastern State Penitentiary: Represents Gothic Revival style.
- Reading Terminal Market: Represents Victorian style.
- Comcast Center: Represents contemporary modern style.
- Philadelphia Museum of Art: Represents Greek Revival style.
What are tha elements of science?
There are 92 elements that naturally occur and several others that are man made. Things like gold, silver, oxygen, hydrogen, mercury. Look at the periodic table of elements. That will show you all of them.
Sounds like you're referring to the chemical elements. These elements are the most basic categories of matter. They include Oxygen, Hydrogen, Silicon, Gold, Silver, Carbon, Uranium, etc. Most matter we found in nature is a combination of these elements. For example, steel is a combination of Carbon and Oxygen. Sand is a combination of Silicon and Oxygen. Water is a combination of Hydrogen and Oxygen.
See an introductory Chemistry textbook for more.
What percentage of high school teach Latin?
In Britain, around 60% of independent schools and 15% of state schools offer lessons in Classics, including Latin.
In 2008:
- over 130,000 students in the US took the National Latin Exam.
- around 3 dozen schools in New York City taught Latin
In 2009, 7 schools in Washington State offered Latin.
What is x in x3 equals 5.231010?
x^(3) = 5.1231010
Take the cube root
Hence
x = 5.231010^(1/3)
x = 1.735915243
Pre-calculus honors covers more advanced topics than algebra 2, such as trigonometry and limits. To prepare, focus on strengthening your algebra skills, particularly with functions, graphs, and equations. Additionally, familiarize yourself with trigonometric functions and properties to ease the transition.
