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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 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).

Assuming nothing blocks their view how far can two people 48 ft tall walk from each other until they can no longer see each other due to the curvature of the Earth R equals 3960 miles?

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 type of lines are these y 2x and y 4x 2?

Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "equals", "squared", "cubed" etc.

They are intersecting lines, though.

Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "equals", "squared", "cubed" etc.

They are intersecting lines, though.

Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "equals", "squared", "cubed" etc.

They are intersecting lines, though.

Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "equals", "squared", "cubed" etc.

They are intersecting lines, though.

How do you do 2 step equations with two variables?

I don't really know but usually it is done with one variable. If it has two variables there might be two unknown anwers to the equation.

What is the slope of 4x equals -3y plus 8?

4x = -3y+8

3y = -4x+8

y = -4/3x+8/3

So the slope is -4/3 or -1 and a 1/3

What is the physical application of third- and fourth-order derivatives with respect to distance e g first derivative is slope?

in case of derivative w.r.t time

first derivative with a variable x gives velocity

second derivative gives acceleration

thid derivative gives jerk