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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 484 x 18?

Is there a particular reason that you cannot use your calcuator?

484*18 = 8712

Why does cos x equal cos -x?

cos x equals cos -x because cos is an even function. An even function f is such that f(x) = f(-x).

How many real solutions are there to the equation 4x2 plus x 1 equals 0?

If you mean:

4x2 + x - 1 = 0

then:

4x2 + x = 1

x2 + x/4 = 1/4

x2 + x/4 + 1/64 = 17/64

(x + 1/2)2 = 17/64

x + 1/2 = ± √17 / 8

x = (-4 ± √17) / 8

Giving us two real solutions.

If on the other hand you mean:

4x2 + x + 1 = 0

Then:

4x2 + x = -1

x2 + x/4 = -1/4

x2 + x/4 + 1/64 = 15/64

(x + 1/2)2 = 15/64

x + 1/2 = ± √15 / 8

x = (-4 ± √15) / 8

Again, giving us two real solutions.

What is -4 equals 9x plus 23?

It is a riddle whose answer is: "X is negative three."

What is the integral of 2x square plus 4x minus 3 divided by x plus 2?

If you mean integral[(2x^2 +4x -3)(x+2)],

then multiply them out to get:

Integral[2x^3+8x^2+5x-6].

This is then easy to solve and is = 2/4x^4+8/3x^3+5/2x^2-6x +c

-3 plus ln x equals 5?

-3 + ln(x) = 5

Add 3 to each side:

ln(x) = 8

x = e(8) = 2,980.958 (rounded)

How do you solve for x X2 plus 3x plus 1 equals 0?

x2+3x+1 = 0

Using the quadratic equation formula gives you:

(x+2.618033989)(x+0.3819660113) = 0

So: x = -2.618033989 or x = -0.3819660113

What unit is used to find the volume of a rectangular solid?

Cubic inches or cubic meters. Take any unit of length and cube it and that is a unit for volume

What does 860mm x 870mm equal in m2?

(860mm ÷ 1000 mm/m) * (870 mm ÷ 1000 mm/m)

0.86m * 0.87m

0.7482m2

or

860mm x 870mm

748200mm2 ÷ (1000mm/m)2

748200mm2 ÷ (1,000,000mm2/m2)

0.7482m2

X varies directly with y and inversely with z x equals 20 when y equals 8 and z equals 4 Find x when y equals 4 and z equals 8?

The answer is x=10.

If:

x=20

y=8

z=4

then:

y=8/2=4

z=4*2=8

since x varies directly with y, meaning whatever happens to y, happens to x, so if y was divided by 2, then x should be divided by 2. After all, the inverse of division is multiplication.

3x2 - 4x equals -2?

Given, 3x2 - 4x = -2

Then, 9x2 - 12x = -6;

9x2 - 12x + 4 = -2 {completing the square} ;

3x - 2 = ±i√2 {sq rt of both sides} ; and

3x = 2 ± i√2.

Therefore,

x = ⅓(2 ± i√2).

What is the soultion to x2 plus 10x plus 1 equals -12 plus 2x?

x = - 4 - or + the square root of 3

Solved by using the quadratic equation formula.