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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
Simplifying
5y + -1 = y + 9
Reorder the terms:
-1 + 5y = y + 9
Reorder the terms:
-1 + 5y = 9 + y
Solving
-1 + 5y = 9 + y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-1y' to each side of the equation.
-1 + 5y + -1y = 9 + y + -1y
Combine like terms: 5y + -1y = 4y
-1 + 4y = 9 + y + -1y
Combine like terms: y + -1y = 0
-1 + 4y = 9 + 0
-1 + 4y = 9
Add '1' to each side of the equation.
-1 + 1 + 4y = 9 + 1
Combine like terms: -1 + 1 = 0
0 + 4y = 9 + 1
4y = 9 + 1
Combine like terms: 9 + 1 = 10
4y = 10
Divide each side by '4'.
y = 2.5
Simplifying
y = 2.5
Give the six trigonometric function of 120?
sin(-120)=sqrt(3)/2
cos(-120)=-1/2
tan(-120)=-sqrt(3)
csc(-120)=2/sqrt(3)
sec(-120)=-2
cot(-120)=-1/sqrt(3)
What is the derivative of f of x equals 1?
f(x)=1
f'(x)=0 because the derivative of a constant is ALWAYS 0.
Is 3 a solution of 4x plus 2 minus 3c equals negative1 plus 6?
Since your equation has two variables in it ( 'x' and 'c' ), a "solution" is a number for each of them
that makes the equation true.
Sure, if you want 'x' to be 3, I can figure out what 'c' has to be.
And if you want 'c' to be 3, then I can figure out what 'x' has to be.
But the "solution" is a pair of numbers that tells you what they BOTH have to be.
And in order to figure that out for two variables, you need two equations.
M divided by X is M/X, except when X is zero, in which case it is invalid. Other than that, since insufficient information was given in the question, no other answer can be given.
What is y²-12y plus 36 equals 9?
y^2 - 12y + 36 = 9
subtract 9 from each side
y^2 - 12y + 27 = 0
easy factoring by inspection
(y - 3)(y - 9)
y = 3
y = 9
x+y = 8
-x+2y = 7
Add both equations together:
3y = 15
Divide both sidea by 3 to find the value of y:
y = 5
Substitute the value of y into the original equations to find the value of x:
Therefore: x = 3 and y = 5
How do you solve the equation 6x-3x plus 8 equals x-9 plus 17?
6x-3x+8=x-9+17 -write out the equation
3x+8=x-9+17 - bring whole numbers to the right by subtracting it from
-8 -8 both sides if it is positive. If it is negative, add it to both
______________ sides
- Bring variables to left by repeating the same steps as the
3x=x-9+9 steps taken for the whole numbers.
-x -x - divide your whole number by the coefficient or multiply by 2
_________
2x=-9+9
2x=0
x=0
How do you solve 2x plus 3 equal 9 X equals?
The equation is 2(x) +3= 9. X would equal 3. The equation would now look like this, 2x3+3=9.
Can 20 over 132 be simplified?
20/132
factor out a 4
4*5/4*33
as the factor 4 appears in both numerator and denominator once each it can be eliminated
= 5/33
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If: 850 = 0.30x
Then: x = 850/0.30 = 2833.333 ... recurring
What number is missing out of the first thrity digits of pi?
There is no 0 in pi until the 32nd digit.
x+x/2 = 700
Multiply all terms by 2 to eradicate the the 2 denominator:
2x+x = 1400
3x = 1400
Divide both sides of the equation by 3 to find the value of x:
x = 466 and 2/3
What is an inverse of a function?
The opposite of another function - if you apply a function and then its inverse, you should get the original number back. For example, the inverse of squaring a positive number is taking the square root.
