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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

1000 grams is ONE what?

1,000 grams is one kilogram in the International System of Units (SI). The kilo prefix means one thousand, so a thousand grams is a kilogram. Originally defined as the mass of a cubic decimeter (liter) of water, the kilogram is today standadized as the mass of a platinum-iridium international prototype kept at the International Bureau of Weights and Measures (Bureau International des Poids et Mesure, near Paris, France). A one-kilogram mass has an Earth weight of about 2.2 pounds.

How do you convert xg into rpm?

http://www.piercenet.com/files/TR0040-Centrifuge-speed.pdf

A hollow shaft has an outside diameter of 35mm and an inside diameter o?

Any measurement smaller than 35mm. That measurement would depend on the thickness of the material making the tube

7x-5 plus 2x equals 3-4x plus 12?

7x-5+2x=3-4x+12

7x+2x-5=3+12-4x

9x-5=15-4x

9x+4x-5=15-4x+4x

13x-5=15

13x-5+5=15+5

13x=20

13x/13=20/13

x=20/13

3x equals 1.2 plus 1.2 plus 1.2?

3x = 1.2 + 1.2 + 1.2

3x = 3.6

x = 1.2

If 'x' equals 1.2, then that's a true statement.

Why LVDT is called linear and differential?

The magnitude of the output voltage is proportional to the distance moved by the core (up to its limit of travel), which is why the device is described as having a "linear" response to displacement.

The coils are connected in reverse series, so that the output voltage is the difference (hence "differential") between the two secondary voltages.

What is 9x-2 from 12x plus 17?

12x + 17 - (9x - 2)

Eliminate parentheses:

12x + 17 - 9x + 2

Combine the 'x' terms:

3x +17 + 2

Combine the numerical terms:

3x + 19

How can you tell by looking only at the equation of a function with no graph that it is nonlinear?

To be linear, there should only be constants, and variables with constant coefficients. No powers of variables, or numbers raised to the power of a variable, or any other nonlinear function such as log, ln, sin, cos, tan, cosh, etc.

What is the answer for 3x plus 5y 43?

For whole +ve numbers, x=6, y = 5 would do it. Otherwise there are an infiinity of solutions.

Hey Using epsilon and delta prove this is true The limit as x and y approaches 0 and 0 of the function xy to the power of 3 all divided by x power of 2 plus 2y power of 2 is equal to 0 Thanks?

The answer needed to the question may be referring to asymptotes which are straight lines on the Cartesian plane that are approached by curved lines but never actually making contact with the lines.

How do you find the value of x in a rhombus with measure 2x plus 3 and 3x plus 2?

You're supposed to know that the sides of a rhombus are all the same length,

so the length and the width of the rhombus are equal, and

2x + 3 = 3x + 2

Subtract 2x from each side of the equation:

3 = x + 2

Then subtract 2 from each side:

1 = x

How do you tell if an equation is a function?

Let's assume (for simplicity) that "y" is a function of "x". That means that for every value of "x", there is a unique value of "y". In this case, if the equation can be solved for "y", it is a function. Some equations are difficult or impossible to solve explicitly for "y"; in this case, "y" may still be a function of "x", if for every value of "x" only a single value of "y" is possible for the equation. However, if this is the case, it may be difficult to verify.

How do you solve s2 plus 4s-32 equals 0?

s2 + 4s - 32 = 0

What two factor of - 32 add up to 4?

(s - 4)(s + 8)

s = 4

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Is there a graph of y equals equals 2 tan 2x?

Yes, that is a shifted tanX graph, just as you would shift any graft.

What is the slope of x plus y7 equals 14?

If the equation is x + 7y = 14 then the slope is -1/7

If the equation is x + y7 = 14, then the slope is 7(14 - x)-8

What is 3x plus -8 equals -29?

You need to rearrange the formula, to make x the subject, because that is what you need to find

So the question is 'What is 3x+(-8) = -29'

ok

We know that when we add -ive signs with +ive signs, (e.g. 3+-4) we get a -ive sign, (e.g. 3-4)

So 3x-8 = -29

Now we can rearrange the formula, leave the '3x' where it is, and move the '-8' to the '-29' 3x = -29 +8

Now the '-8' will become '+8', because when arranging the formula, and you want to get a constant the subject, then you change the signs

Now you add 8 to -29, 3x = -21

Now to get the x on its own, we divide both sides by 3

x = -21/3

Now we have x = -21/3, which is:

x = -7

So 3*x+(-8) = -29

What is the y intercept of the line 2x plus 5y equals 20?

2X + 5Y = 20

5Y = - 2X + 20

Y = (- 2/5)X + 4

================now, reading off the function,

Y intercept = 4

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