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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 this equation -6 equals x over 12?
-6=x/12
The first and only step is to multiply both sides by 12. This gives us x on the right hand side and -6x12 on the left, which simplifies to -72
Thus -72=x
And so x is negative 72.
What is the volume of 30 inches x 30 inches?
The volume is zero.
"30 inches by 30 inches" is a flat, square place, on a table, a piece of paper,
or the ground. You can't put anything in it because it has no "in" .
How do you isolate y in x plus 2y equals 12?
subtract x from both sides
divide each term by 2.
y=-1/2 x+6
What does x equal when 21x plus 9 equals 180?
21x + 9 = 180 21x = 180 - 9
21x = 171
x = 171/21
x = 8.143
I'm assuming you want to solve the equation
2x2 - 12x - 80 = 0
Divide both sides by 2:
x2 - 6x - 40 =0
What numbers multiply to get -40 and add to give you -6?
Factors of 40:
(2,20)
(4,10)
(5,8)
Thus, the factors of -40 are the same, but with either number in the pair being negative. Which two have a difference of 6? (4,10). Since we want -6, we should choose (4,-10)
Thus we can factor the equation to get:
(x + 4)(x - 10) = 0
The two solutions are then x= -4, x=10
When 6-4x equals x-1.4 what is x?
6 - 4x = x - 1.4
Add 1.4 to each side: . . . 7.4 - 4x = x
Add 4x to each side: . . . 7.4 = 5x
Divide each side by 5: . . . 7.4/5 =
x = 7.4 / 5 = 1.48
What is the slope and y-intercept of the graph of 2x plus y equals 9?
2x + y = 9
y intercept is at x = 0 is 9 point (0,9)
x intercept is at y = 0 is 4.5 point (4.5,0)
slope = (9 -0)/(0-4.5) = -2
or another solution option:
2x + y = 9
or y = -2x + 9 compared with y = mx + a and m is the slope and a the y-intercept
so, m = -2 and y = 9
What does m equal in y equals mx plus b?
m is the slope of the line; that is, the change in y divided by the change in x
What you the solution to two fifths y eguals 10?
2/5 y = 10
Multiply each side by 5:
2 y = 50
Divide each side by 2:
y = 25
What is the relative extrema at f(x)x 2sinx with interval (02pi)?
The local extrema of f(x) = x + 2*sin(x) are 6.2832 and 2.4567 (approx).
If the question was about some other function of x, please resubmit using words for mathematical symbols. The browser that you are required to use for posting questions is rubbish and will reject most mathematical symbols. In this case, all that I can see is "f(x)x 2sinx" and have had to guess the rest.
x2 + 49
= x2 - (-49)
= x2 - (-1)(49)
= x2 - (i2)(72)
= x2 - (7i)2
= (x - 7i)(x + 7i)
where i is the imaginary square root of -1.
2-D shapes are all named "polygon", in honor of the lost parrot of Plato.
3-D shapes are all named "polyhedron", in honor of the memorable 3-D shape
of their cousin Tippi.
What is the volume in gallons of 3ft wide x 2Ft deep x 82 inch long?
82 inches = 6.83 (2DP)
A tank which is 3ft wide, 2ft deep and 82 inches long can hold 306.1206 Gallons.
Just for interest, the tank would of been 40.98 cubic feet.
