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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 is the ordered pair for 7x-3y equals -52 and 8x plus 74 equals y?

7x+3y=-52

3(8x-y=-74)

7x+3y=-52

24x-3y=-222

7x=-52

+ 24x=-222

31x=-274

x=8.8387

What is the x-intercept of the graph of - x plus y 2?

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What does Germany use potash for?

In addition to its use as a fertilizer, potassium chloride is important in industrialized economies, where it is used in aluminium recycling, by the chloralkali industry to produce potassium hydroxide, in metal electroplating, oil-well drilling fluid, snow and ice melting, steel heat-treating, and water softening. Potassium hydroxide is used for industrial water treatment and is the precursor of potassium carbonate, several forms of potassium phosphate, many other potassic chemicals, and soap manufacturing. Potassium carbonate is used to produce animal feed supplements, cement, fire extinguishers, food products, photographic chemicals, and textiles. It is also used in brewing beer, pharmaceutical preparations, and as a catalyst for synthetic rubber manufacturing. These nonfertilizer uses have accounted for about 15% of annual potash consumption in the United States.

How many pounds can a 2 x 8 x 10 hold?

I don't know what your units are, so let me assume they are m (meters)

2m x 8m x 10m = 160 cubic meters of material can fit into that cube.

The standard substance that is used to relate metric measurements to each other is water. The "gram" was defined as the mass (not weight, but similar) of one cubic centimeter of water at normal temperature. There are 1 million cubic centimeters in a cubic meter, so a cubic meter of water would have a mass of 1 million grams, or 1,000 kilograms, or 1 metric ton.

To obtain the mass of 1 cubic meter of some other substances, simply multiply the specific gravity of the substance by the mass of a cubic meter of water

What is the horizontal asymptote of f x equals x squared minus 9 divided by x squared minus 4?

y = 1. When the degree of your numerator is the same with the degree of your denominator, then y = the ratio of the leading coefficients of the numerator and denominator is the horizontal asymptote.

What is 3x plus 7 13?

In the equation 3x plus 7 equals 13, x is equal to 2.

What the answer to 4x2 plus 12 plus 9 equals 0?

As written, that's 4x squared = -21 and x equals the square root of -21/4.

But if you meant that to be 12x, it factors out nicely to (2x + 3)(2x + 3) and x would equal -3/2

How many solutions are there in 8x plus 11 equals 8x plus 8?

That equation has no solutions.

There's no number that can go in place of 'x' that can

make the equation a true statement.

How do you solve the system equation 4x plus 3y equals 33 and x equals -4y-25?

So

1. 4x + 3y = 33

2. x = -4y - 25

Two linear equations (degree one polynomial) are likely to be consistent. If you have some knowledge with matrices, using Gaussian Elimination it can be done easily. I will assume that knowledge is not available.

It is known that x and y are related in a way such that both equations are satisfied, in particular x = -4y - 25. so 4x is namely 4(-4y - 25) and 4x + 3y = 4(-4y - 25) + 3y which is 33.

Simplify the single variable polynomial y and solve for y. It should be an easy way of rearranging things.

For the matrix method, post in discussion.