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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 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
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
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
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 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 x equal when 21x plus 9 equals 180?
21x + 9 = 180 21x = 180 - 9
21x = 171
x = 171/21
x = 8.143
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.
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.
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 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.
If 3 salesmen can sell 3 stores in 7 minutes how many stores can 6 salesmen sell in 70 minutes?
I love math questions =D just use logic, 3 can sell three in 7min. So that makes one sell each. If you have six salesmen, then double it. six can sell 6 stores in 7min. take 70/7 and you get 10, now just multiply that by 6 and you have your answer, the answer is 60.
(if this is a trick question or *brain tangler* my answer is probably completely wrong. if it is a normal math question probably on you homework assignment, then i am still possibly wrong but most likely right)
(The Anonymous Answer Guy)
Is 60 2x equals to 70 4x what is x?
Impossible to give a correct solution in the absence of any plus or minus signs.
Which equation has the same x intercept as y equals x plus 2?
You could multiply x+2 by any number, and it would have the same x intercept, which is -2. For example: y=2x+4; or y=3x+6; or y=4x+8; or y=-x-2
What is the difference between Taylor series and Maclaurin series?
A Maclaurin series is centered about zero, while a Taylor series is centered about any point c.
M(x) = [f(0)/0!] + [f'(0)/1!]x +[f''(0)/2!](x^2) + [f'''(0)/3!](x^3) + . . .
for f(x).
T(x) = [f(c)/0!] + [f'(c)/1!](x-c) +[f''(c)/2!]((x-c)^2) + [f'''(c)/3!]((x-c)^3) + . . .
for f(x).
How do you graph the equation -5x plus y equals 1?
-5x+y=1
In order to graph, you should reorganize the equation into y-intercept form, y=mx+b, in which m is the slope of the line, and b is the slope-intercept. You can tell this is a line because the x is to the first power.
-5x+y=1
y=5x+1
In this case, 1 is the b value. On a coordinate plane, mark a point at (0,1) because 1 is the y value at which the line crosses the y-axis. At that point, the x-value is 0 because it has to be a point directly above or below the origin, at which x-value is 0. Because the equation is in slope-intercept form, you know that 1 is the y value.
You also know that the slope is 5 (aka 5/1). Slope is rise over run, so you know that for ever 5 units the line moves up, it will move 1 unit to the right. You know that it is up and right because the 5 is positive. Now, from the y-intercept you plotted at (0,1) move up 5 units and right 1 unit, and mark another point there at (1,6). You can continue to mark points in this fashion at (2,11), (3,16), (4,21)...But generally, two points is enough.
Use a straight edge of some sort to connect the dots, drawing excess on either end of the dots. Include arrows on both ends of the line. It continues forever in both directions without any discontinuities. It would only have discontinuities if there were a fraction or an even root like a square root or fourth root, so you don't have to worry about that.
You're done!
