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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

-2x plus 19 equals 8x-1?

-2x + 19 = 8x - 1

Add 1 to each side:

-2x + 20 = 8x

Add 2x to each side:

20 = 10x

Divide each side by 10:

x = 2

What is the value of x in the equation -12x equals 72?

-6

when you multiply two minus numbers the minus signs cancel each other out so -12 * -6 = 72

If 34 x8 then x is equal to .?

Incomplete information. Cannot be answered.

If the question is what number times 8 = 34 the answer would be 4.25

10 x 8 x 1 2?

I do not understand this question, so these are a few possible equations that you might mean:

10x8x12=80

(10x8x1)2=160

(10x8x1)2=6400

Is 11in x 14in equals 5 ft?

11x14=154

5 feet in inches= 12x12x5= 720

So your answer is NO

What would x equal if y equals 3x plus 2?

y = 3x + 2

Subtract 2 from each side of the equation:

y - 2 = 3x

Divide each side by 3:

(y - 2)/3 = x

Integration cos3 x?

Take f(x) = cos(3x)

∫ f(x) dx

= ∫ cos(3x) dx

Take u=3x → du = 3dx

= ∫ 1/3*cos(u) du

= 1/3*∫ cos(u) du

= 1/3*sin(u) + C, C ∈ ℝ

= 1/3*sin(3x) + C

What does 2 quarts equal?

Two quarts is a half gallon. It is also four pints or 64 fluid ounces.

X plus 2y equals -1 4x plus 3y equals -9?

Presumably this is a simultaneous equation question which can be solved using the elimination method?

4(x+2y = -1)

4x+3y = -9

First multiply all terms in the top equation by 4:

4x+8y = -4

4x+3y = -9

Subtract the bottom equation from the top equation in order to eliminate x remembering that a - - is equal to a + So -4 - -9 is equal to 5:

5y = 5 => y = 1

Substitute the value of y into the original equations to find the value of x:

Therefore: x = -3 and y = 1

What is x when X4 plus 3x3 - x2 - 9x - 6 equals 0?

x4 + 3x3 - x2 - 9x - 6 = 0

x4 + x3 + 2x3 + 2x2 - 3x2 - 3x - 6x - 6 = 0

x3(x + 1) + 2x2(x + 1) - 3x(x + 1) - 6(x + 1) = 0

(x + 1)(x3 + 2x2 - 3x - 6) = 0

(x + 1)[x2(x + 2) - 3(x + 2)] = 0

(x + 1)(x + 2)(x2 - 3) = 0

So x + 1 = 0 so that x = -1

or x + 2 = 0 so that x = -2

or x2 - 3 = 0 so that x = +/- sqrt(3)