0
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
How fast is 80 feet per second?
80 ft\sec *60=4800ft\min*60=288,000ft\hour and when divided by 5280 feet\mile that equals 54.55 miles per hour
What is required to be a calculus teacher?
To teach at the college level (or at a private high school), a minimum of a master's degree in mathematics (or a closely related field) is required. Some colleges will allow teachers to teach as adjuncts (meaning they are not official professors, do not have offices, teach only a few classes, and make a much lower salary than official professors) if they are in the process of getting a master's degree.
To teach at the high school level, the requirements vary from state to state in the US. Most require a bachelor's degree in mathematics education.
The main difference is that colleges do not require any education background whatsoever (just math) while high schools require more education than math (in some districts with a shortage of teachers, a history teacher with no math background could be allowed to teach calculus).
' x ' = any whole number greater than ' 2 '.
Time period is directly proportional to the square root of the length
So as we increase the length four times then period would increase by ./4 times ie 2 times.
Multiply each side of the equation by -1 and get x = 14.
What is the answer to 4x plus 2y equals 30?
4x + 2y = 30
Substitute for the variables
y could be equal to 3
x could be equal to 6
So that means that,
4 x (6) + 2 x (3)= 30
24 + 2 x (3)= 30
24 + 6= 30
30 = 30
3
Are the halogens most reactive nonmetals or the least reactive nonmetals?
The Halogens are the most reactive non-metals. However, their reactivity decreases as you go down the group.
Most reactive Fluorine>Chlorine>Bromine>Iodine>Astatine Least reactive.
However, Astatine is not fully characterised because it is radio-active, and consequently is not found in open(school) labs.
How do you solve 4x-8 equals 12?
We are given: 4x - 8 = 12
Add 8 to both sides: 4x = 20
Divide by four on both sides: x = 5
A bit of an intro
dy/dx is called the derivative of y with respect to x it can also be denoted by f ' (x)
it is the rate of change of y with respect to x
when differentiating use the following strategy;
- if y = xn then dy/dx = nx n-1
- if y = cxn (c is a constant) then dy/dx = cnx n-1
so in words you drop the power of x by 1 and put the old power in front
example x2 + 3x- 10 becomes 2x + 3 - 0 when differentiated
example with fractions 1/3 x3 + 3/4 x8 becomes x2 + 6x7 when differentiated
How do you find out if 3x equals 5y is a linear equation?
3x = 5y
3x/5 = 5y/5
(3/5)x = y or
y = (3/5)x + 0 is a linear equation of the form y = mx + b, where the slope, m, is 3/5, and the y-intercept, b, is 0.
x2 + 2x -6 = 0
x2 + 2x + 1 = 7
(x + 1)2 = 7
x = -1 ± √7
Question: x = 2y2 +3 if x = 53 what NEGATIVE value of y makes this an equality
Answer:
x= 2y2 + 3
53 = 2y2 + 3
53 - 3 = 2y2
50/2 = y2
25 = y2
Take the Square Root of Both sides so we can get:
y = Square root of 25
so:
y = EITHER 5 or -5
Then the ANSWER is -5 (since we need the NEGATIVE Value of Y)
