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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

Which is greater 12 x 3 or 56 divided by 2?

the answer is 12 x 3

( because 12 x 3 is 36, while 56 divided by 2 is 28)

(36 > 28)

Is y equals -4x plus 6 a parallel?

Nothing is parallel until it has something else to be parallel to.

What you have so far is the sound of one hand clapping.

Your equation is parallel to any other equation that says

y = -4x plus any other number besides 6

What are a set of whole numbers that satisfy 4n9?

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", "times", "equals", "squared".

All that is visible is an expression. An expression cannot be solved.

At what point do the lines 3x plus y equals 9 and 6x equals 4 - 2y intersect?

Let's solve this by substitution. We're told:

3x + y = 9

6x = 4 - 2y

Let's start with the second equation, and solve for y:

6x = 4 - 2y

3x = 2 - y

2 - 3x = y

Now we can substitute it into the first equation, replacing all occurrences of y with 2 - 3x:

3x + (2 - 3x) = 9

2 = 9

Ah! That of course makes no sense, which tells us that the lines do not intersect at all, but are in fact parallel to each other. Let's confirm that by rearranging each of them into standard form:

3x + y = 9

y = 9 - 3x

y = -3x + 9

6x = 4 - 2y

y = 2 - 3x

y = -3x + 7

So there you have it. Those expressions describe two lines that have a slope of 3 and a y position that differs by 2.

X2 plus x plus 12 equals 0 solve the problem?

No answer in integers, in fact any answer would involve the square root of -1 and would therefore be imaginary.

(If the equation were x2 + x - 12 the factors would be (x + 4)(x - 3),

or if it were x2 - x - 12 the factors would be (x - 4)(x + 3)).

How do you solve n x 48 equals 4512?

You have to divide 4,512 by 48.Your answer will by the quotient.

What is surface area of a cuboid 8 x 5 x 2.5?

Surface area = 2*(8*5 + 5*2.5 + 2.5*8) = 2*(40 + 12.5 + 20) = 2*72.5 = 145 square units.

What is the highest number anyone has ever counted to?

Well, for my part, I just recently counted past (decimal) "one and a half million" ("1,519,616" to be "exact"), and am still counting (and I have relied very little on writing down where I am as I count). I am actually counting (at present) in a base that I could be called "balanced base-sixty-four" or "quadrosexagesimal"; and - in that base - the number would be "6¯d00". In "base thirty-two" or "duotrigesimal", it would be "1ec00". I started this particular counting project about a year and a half ago now, and - God willing - will keep counting at least until I reach (decimal) 33,554,432 - which is "1,00000" in duotrigesimal or "20000" in quadrosexagesimal.

(By the way the over-bar "¯" indicates a negative rather than positive value, the symbols "c", "d", and "e" represent decimal "12", "13", and "14" respectively. So, for example, "¯d" represents decimal: "negative 13". Also, in base sixty-four and base thirty-two, each "place" to the left represents a power of decimal "64" and "32", respectively. Therefore, thequadrosexagesimal value: " 6 ¯d 0 0 " equals decimal 6*64^3 - 13*64^2; and the duotrigesimal: " 1 e c 0 0 " equal decimal 1*32^4 + 14*32^3 + 12*32^2. Furthermore, quadrosexagesimal "20000" equals 2*64^4 and duotrigesimal "1,00000" equals 32^5.)

When is a pendulum at equilibrium?

The equilibrium point of a pendulum is when it does not oscillate and is quite stable. It does not count if you interfere with the movement of the pendulum (eg.: by holding it).

What is the percent increase between 47 percent and 97 percent?

If 47 increases to 97, it increases by 50 units.

For 47 units, the increase is 50 units

For 1 unit, the increase is 50/47 units

For 100 units, the increase is (50/47)(100) = 106.38 %

What is the of cube root of one?

The cube root of 1 will also be 1. You can check with the complementary operation: 1*1*1=1 (true).

How do you solve a matrix?

Please clarify what you want to "solve". There are several operations you can do with matrices, such as add them, multiply them, transpose them, etc.

3x2 plus 5x plus 10 equals 0?

3x + 5x + 10 = 0
a = 3, b = 5, c = 10

D = b - 4ac = 25 - 120 = -95
Since D < 0, we have two conjugate complex roots.

√D = √-95 = i√95

x = (- b ± √D)/2a

x = -5/6 + [(√95)/6]i or x = -5/6 -[(√95)/6]i

How do you solve for 5x plus y equals 1 and 3x plus 2y equals 2?

For 5x+y=1, you would subtract 5x from each side, so you would get y=1-5x

For 3x+2y=2, you would subtract 3x from each side, and then divide by 2.

2y=2-3x

y=1-(3/2)x

How many x intercepts are in y equals 2x2 plus 4x plus 3?

None because the discriminant of this quadratic equation is less than zero.