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
What is the slope of the graph of 2x-3y equals 8?
To get slope, you need to get the equation y = mx + b and tehn m is slope.
2x - 3y = 8
subtract 2x from both sides
-3y = -2x + 8
divide both sides by -3
y = 2/3 x -8/3
Ans: 2/3 is slope
What is the answer for 2 x - 2 x 3?
2x-2 x 3
2x-6
Assuming the first x is a variable -- why did you assume that?
Besides that's not "the answer" it's just simplified.
All x mean multiply - none are written 2x, there's always a space
2 x -2 = -4; -4 x 3 = -12
What is the graph of -4x plus 7y equals -28?
-4x=7y-28
-4x+28=7y
-4x/7+4=y
A line with a y-int of 4 and a slope of -4/7
Solve for a c equals the square root of a squared plus b square?
This question cannot be answered. You will have to give me the number to the square root.
* * * * *
a = ±sqrt(c^2 - b^2)
f(x) = 2x²
f(x) = 136
→ 2x² = 136
→ x² = 68
→ x = ±√68
As the positive value is required, x = √68 ≈ 8.246
What is a derivative for the word prophecy?
A derivative of the word "prophecy" is "prophetic," which is an adjective describing something that pertains to or predicts future events. Another derivative is "prophet," referring to a person who conveys messages or revelations believed to be from a divine source. Both terms are rooted in the concept of foretelling or revealing future occurrences.
What is the motion of a pendulum in water?
The motion of a pendulum in water will be similar to what it is in air, except it will move more slowly and loose energy much more rapidly (unless something with some "power" is keeping it going). The speed of the pendulum should graph like a sine wave with the peaks and troughs denoting the endpoints of the travel of the pendulum in its arc. The slope of the curve at any point will represent the instantaneous acceleration. If the pendulum is released and no energy is put in from outside, the graph of the speed will diminish very quickly and dramatically.
Heart flutters or the feeling of missed heartbeats (everyone has them, but just doesn't feel it in some cases.) Over-exercising can cause this. There is caffeine in soft drinks and chocolate. Sometimes eating after 8 PM can produce heart flutters because of a chemical in possibly junk food. It would be a good idea to see your doctor and be sure you have no abnormalities of the heart. Don't risk not seeing you doctor. I'm sure you are OK, but your doctor can explain to you how the heart works and why you may be getting those heart flutters. Hormones also can cause heart flutters and young women to perimenopausal women and women in menopause can get these heart flutters or so-called missed heartbeats on quite a regular basis.
How do you graph 3x plus 4y is greater than 4?
First graph the equation 3x + 4y = 4. Because the equation only has x and y to the first power, it graph will be a straight line. Therefore, just find two points that lie on the graph and draw the straight line that goes through both of them. When x = 0, y is clearly 1, and when y = 0, x = 4/3.
So draw the straight line that goes through (0,1) and (4/3,0), but because the equation does not include the phrase "or equal to," make the line dotted. That indicates that points on the line are not included in the solution set.
Then shade the side of the line that includes all possible solutions. Which side is it? Well, plug in any point, say (0,0), and see if the equation makes sense.
3(0)+4(0) > 4
0 > 4
This is untrue, so shade in the other side of the line, the side that doesn't include the origin. Any (x,y) coordinate on that side of the line will satisfy your inequality.
How do you solve for x in 4 to the x power equals 4 to the 2x plus 1 power?
4x = 42x+1
Take the logarithm of each side of the equation:
x log(4) = (2x+1) log(4)
Divide each side of the equation by log(4) :
x = 2x + 1
Subtract 'x' from each side:
x + 1 = 0
Subtract ' 1 ' from each side:
X = -1
Check it out:
4x = 42x+1
4(-1) = (?) 4(-2+1)
4(-1) = 4(-1) yay!
What is one divided by x to the 2nd power?
That's going to have a lot to do with what ' x ' is. And any time ' x ' changes,
that whole quantity also changes immediately.
How does the graph of an inequality compare to its related function?
The graph is a region of the space on one side or another of the related function. If the inequality is strict then the related function itself is not part of the solution; otherwise it is.
Suppose x + y + z = 0
then z = - x - y = -(x + y) . . . . . . (A)
1/x + 1/y + 1/z = 0
implies x, y and z are all non-zero: otherwise the reciprocals are undefined.
then z ≠0 implies that x+y ≠0 (by (A))
so 1/x + 1/y + 1/[-(x+y)] = 0 (using (A))
so that 1/x + 1/y = 1/(x+y)
ie (x + y)/xy = 1/(x + y)
Now, since x+y ≠0, multiply both sides by x+y to give
(x + y)2/xy = 1
or (x + y)2 = xy
x2 + 2xy + y2 = xy
x2 + xy + y2 = 0
so that x = [-y ± sqrt(y2 - 4y2)]/2
= [-y ± y*sqrt(-3)]/2 which is cannot be real if y is real.
What is the answer to 2x 4 x - 3?
Unfortunately, the browser used by Answers.com for posting questions is incapable of accepting mathematical symbols. This means that we cannot see the mathematically critical parts of the question. We are, therefore unable to determine what exactly the question is about and so cannot give a proper answer to your question.
Solving for two unknowns (x and y) requires two independent equations.
The average is the sum of variables divided by their count. For an instance:
x = 6
y = 102
z = 9
The average will be
( 6 + 102 + 9 ) / 3 = 117 / 3 = 39
