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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 do x plus 25 equals 138?
x+25=138
subtract both sides of the equation by 25
(x+25)-25=138-25
simplify
x=138-25
x=114
What is a solution of the equation 2x squared minus x equals 7?
x = 2.1374586088176875
x = -1.6374586088176875
What is area for 9' x 5' x 10'?
If that's a rectangular block, you have to use the formula for a rectangle, and add all six sides to get the surface area; since opposite sides are equal, you can group them like this: 2 x 9 x 5 + 2 x 9 x 10 + 2 x 5 x 10.
What steps do you use for the following equation x divided by 11 plus 4 equals 7?
Whatever you do to one side of the equation, you must also do to the other side as well. Always work backwards, ie, additions and subtractions are taken out of the equation first rather than the normal calculations where divisions and multiplications are always done first.
x/11 + 4 = 7
x/11 + 4 - 4 = 7 - 4
x/11 = 3
x/11 x 11 = 3 x 11
x = 33
How do you solve for x in 5x plus y equals 10?
In order to solve for X, or find out what X equals, you need to get the X alone on one side of the equation. In this case, first you subtract the Y so that the equation becomes 5x=10-y. Then you divide both sides by 5. Now the equation is X=(10-y)/5 (or X equals the quantity of 10-y over 5).
Two 48 ft tall people can walk about 16.97 miles from each other before they can no longer see each other due to curvature of the Earth.
Build a right triangle. Base = 3960 miles. Right angle at surface of Earth. Height distance from one observer to the horizon. Hypotenuse = 3960 miles + 48 feet. Angle at the center of the Earth is theta.
Cosine theta is adjacent over hypotenuse, or 3960 / 3960.0090909... Solve for inverse cosine and you get theta = 0.12277 degrees. Multiply that by 2 pi R (r=3960) and divide by 360 and you get 8.49 miles. Double that and you get 16.97 miles.
Note: The height of the triangle does not matter. What matters is theta and its proportion to the circumference of the Earth.
How do you solve 10-4x equals 102?
10 - 4x = 102
Therefore, 4x = -92
Therefore, x = -92/4
Therefore, x = -23
What is 5x squared over x times 20 squared?
You need to clarify your question. Depending on what you mean, the answer could be:
- x2/16
- 2000x
- x/80
or many other things.
You cannot, since "x equals 0" and "y equals 0" are NOT inequalities!
If x and y are counts of things, or measures (such as length) which must be positive then the reason for such constraints should be obvious.
