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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
How do you solve 5x plus 2-3x equals 16?
5x + 2 - 3x = 16
Combining terms: 2x + 2 = 16
Subtract 2 from both sides: 2x = 14
Divide both sides by 2: x = 7
X2 plus 3x plus 2 over x plus 2 Identify any restricted values on the domain?
The restricted value in the domain is x=-2 because if x were equal to -2, the denominator would be 0 and the expression would become undefined.
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What is the value of x in the equation 7x plus 3 equals 31?
x=4, but this is just very basic algebra, not calculus at all.
How do you find 1.5x -2.5x-0.5x equals -3?
This is a fairly straightforward equation.
1.5x-2.5x-o.5x=-3 can be written as (1.5-2.5-0.5)x =-3
Add the values in the brackets together and you have -1.5x=-3
divide both sides by -1.5 to leave you with x=2
If you replace the x-values in the origianl equation you get
1.5x2-2.5x2-o.5x2=-3 or 3-5-1=-3
QED
What picture shows the correct graph of x equals -1?
It is a line parallel to the y axis, and one unit to the left of it.
How do you rationalize 3 over the square root of x plus 4?
3/sqrt(X + 4) * sqrt(X + 4)/sqrt(X + 4)
3sqrt(X + 4)/(X + 4)
What are three different ordered pairs that are solutions of the equation Y equals x-8?
This is a tough one. You were right to not tackle it on your own, but to bring it here,
where we have the staff to discuss it, plan a solution, then carefully solve it, and
give it to other members of the team to check the solution for errors.
(9, 1)
(10,2)
(11,3)
10x plus 9y equals 4 and -6x plus 4y equals -5?
30x + 27y = 12, -30x + 20y = -25; add these two:
47y = -13, making y = -13/47 and x = -61/94
I have checked these values against the original equations and they satisfy both. Weird solution tho'!
How is x the equation of 2 x-3 plus equals 19?
if it is 2x-3=19 then you add 3 to both sides and divide by 2
but if it is 2(x-3) then you distribute 2 into x and 3: 2x-6=19 then add 6 to both sides and dividing by 2
∫ f'(x)/f(x) dx = ln(f(x)) + C
C is the constant of integration.
What is X when x2 plus 2x plus 2 equals 0?
x2+2x+2=0
Using the quadratic formula
x= (-2+- sq.root (22-4.1.2))/2
x= (-2+- sq.root(4-8))/2
x= (-2+- sq.root -4)/2
x= (-2+- 2i)/2
x= -2+2i and -2-2i which then simplifies to -1+i and -1-i.
Hope this wasn't too confusing.
What ratio do you get if you round of 3.1512.9912.95516505601294913.14412.8411?
You cannot have a single number with five decimal points. Furthermore, you need to specify the degree to which the number(s) are to be rounded.
How do you know that 9 12 is greater than 2 3?
8 is two thirds of 12 so that 8/12 = 2/3. 9 is greater than 8 so 9/12 is greater than 8/12 which is 2/3.
What is the product of 4 minus 3 and x plus 8?
( 4 - 3 )( x + 8 ) = x + 8
Use the FOIL method
F = 4 * x = 4x
O = 4 * 8 = 32
I = -3 * x = -3x
L = -3 * 8 = -24
4x - 3x + 32 - 24
Next combine like terms
4x - 3x = x
32 - 24 = 8
x + 8
Which is the most difficult math lessons from algebra to calculus?
"most difficult" is a personal thing. What you find most difficult someone else might find easy and also, the other way around.
