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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 write an equation if x and y vary directy?
y = kx for some non-zero constant k that you then need to find.
Can every oscillatory motion be treated as simple harmonic motion in the limit of small amplitude?
No. Simple harmonic motion requires that the acceleration is proportional to the displacement (and in the opposite direction). It is possible to have periodic motion where that is not the case.
What is the answer for if 1 y is one the graph then y equals?
Your question is incoherent, please rephrase.
Calculate the weight of MS Channel of size 100mm x 50mm x 5mm and length formula?
MS Channel Weight:
100mm(length)*50mm(width)*5mm(thick)*.000785=19.625 Kg
Find all solutions of equation lnx plus lnx plus 3 equals ln55divided by 4?
lnx + lnx +3 = (ln55)/4
2lnx +3 =(ln55)/4
8lnx + 12=ln55
8lnx=-12+ln55
lnx=(-12+ln55)/8
x=e^[(-12+ln55)/8]
X plus 2 to the second power plus y minus 4 to the second power equals 36. What is x?
(x+2)2 + (y-4)2 = 36
This is the graph of a circle, with a radius of 6, centered at the point (-2, 4).
(x+2) = sqrt [ 36 - (y-4)2 ]
X = -2 + sqrt [ 36 - (y-4)2]
If you pick a million numbers for ' Y ', this equation is not solvable whenever the absolute value of (Y-4) is more than 6. But whenever the absolute value of (Y-4) is 6 or less, you get two solutions for ' X '. Plot them on a graph, and they all fall on the circle described above.
What point is on a graph for the equation y equals -14 plus x?
(0, -14) and (14, 0) are both points on the line of y = -14 + x. Any point where the first number (also known as the x-coordinate) is 14 more than the second number (the y-coordinate) is on that line.
How do you solve the equation y equals mx plus b?
you take the y=mx+b alright then you plug in your numbers. So say you got (5,4)(X,Y) and the slope was 2 the equation would then be 4=2(5)+b. Then you do 2x5 which equals 10. Then you divide the 10 on both sides. the 10 and the 10 cancel each other out and the 4/10 =2/5 and then 2/5=b. There you have it!
The letter X negative take away seven take away five take away one is an equation. This equation equals .500.
What is x in 3x minus 14 is equal to 2x plus 9?
Add 14 to both sides.
3x = 2x + 23
Subtract 2x from both sides.
x = 23
Check it.
3 x 23 - 14 = 55
2 x 23 + 9 = 55
It checks.
What is y-intercept y - 2x equals 7?
The y-intercept will occur where the x coordinate equals zero. Substituting x=0 into the equation, we have y - 0 = 7 --> y = 7, so the y-intercept is 7.
log y (3445.51/2400) / log 1.075 = x
What is the use of integration in your practical life?
Google " volume of revolution " problems and see how integration makes these problems that would not be easily solved by other methods easier.
How does one determine the validity and the invalidity of a function?
The validity or invalidity of a function are not abstract but depend on its domain and codomain or range.
If for any point, A, in the domain there is a unique point, B, in the range such that f(A) = B then the function is valid at A.
The validity of a function can change from point to point.
For example, f(x) = sqrt(x) is not a function from the set of Real Numbers to the set of Real Numbers because any negative number in the domain is not mapped to any value in the range. This can be corrected either by changing the domain to the set of non-negative Real Numbers or (if you are a more advanced mathematician) change the range to the set of Complex Numbers.
Similarly the reciprocal function, f(x) = 1/x is valid everywhere except for x = 0.
Or f(x) = tan(x) is valid except for x = 90+k*180 degrees for all integer values of k - so it is not valid at an infinite number of points.
