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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 has the author X Y written?
X. Y. has written:
'What is life?' -- subject(s): Religion and science, Creation, Spirit, Atoms
What has the author F X Martin written?
F. X. Martin has written:
'Eiub MacNeill on the 1916 rising' -- subject(s): History
'Friar Nugent'
I suppose the expression would be 1/x - 1/ sin x.
The conditions for de l'Hopital's rule doesn't apply here, since neither of the fractions is of type 0/0. However, you can find a common denominator - this results in the fraction (sin x - x) / (x sin x). Here, you do have a fraction of type 0/0 - thus, the conditions for de l'Hopital's rule do apply.
If you take the derivative, you again get a fraction of type 0/0. You need to take the derivate a second time to get a result that can be evaluated.
How to solve Xpower3 minus 10Xpower2 minus 7800X plus 163000?
This has 3 real valued solutions: approx x = -92.877, x = 21.590, x = 81.287
I plotted it to get the approximate solutions.
What is 1 3 over 8 plus 1 2 over 3?
13 over 8 plus 12 over 3, I'm assuming?
Well first, you need to find a common denominator... multiply 8 x 3. This gets 24. This is your denominator for both sides.
Multiply the numerator of one of these by the denominator of the other. So 13(3) = 39 and 12(8) = 96. Add these together: 39 + 96 = 135. Put this over your common denominator, 24. 135/24. Simplify. 5 5/8.
What is the x-coordinate of the vertex in the equation y equals x plus 2 x minus 6?
It is the average of -2 and +6, that is, x = 2
Which word pair is the vertex of y equals x plus 4?
One option is "cannot exist".
The equation is linear and linear equations do not have vertices.
What are the roots of x3 minus 3x2minus9x minus 5 equals 0?
x3 - 3x2 - 9x - 5 = 0
(x + 1)(x2 - 4x - 5) = 0
(x + 1)(x - 5)(x + 1) = 0
x ∈ {-1, 1, 5}
How do you solve y equals 2x squared plus 1?
The solution comprises every point on a parabola which is symmetric about the y axis and has its apex at (0,1).
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Do systems of equations always have one answer?
No. They can have none, one, finitely many or infinitely many.
How do you solve 3 16ths plus 1 4th?
First you have to convert the fractions to the same denominator (bottom number):
3/16 + 1/4 = 3/16 + 4/16
Then add the numerators (top numbers):
3/16 + 4/16 = 7/16
3rd derivative of y equals mx plus b?
The first derivative is m and the second is 0 so the third is also 0.
Does 19-x equal 12 of the solution of 8?
If x = 8 satisfies the equation 19 - x = 12, then it is a solution of the equation.
19 - x = 12
19 - 8 = ? 12
11 ≠ 12
Since x = 8 does not satisfy the equation, x = 8 it is not a solution.
What is the percent of increasse from 20 to 39?
39 is 19 more than 20, so the percentage increase can be determined by dividing 20 by 19. the answer therefore is "to get from 20 to 39, you increase it by 95%" or "39 is 195% of 20". the second answer was obtained because it is including the original value (100%) and adding the extra value to show increase.
