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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 10 plus x equals 5?

It's one of the simplest linear equations in 'x' that can be written.

Its solution is [ x = -5 ].

How do you convert a degree into a number?

A degree is a unit of measure, it is not itself a number. It may be a measure of an angle or temperature or power. A degree cannot be converted to a number

How many dights of pi are known?

As of October 2011, around 5 trillion. See the link below.

What does the mx in y equals mx plus b?

y=mx+b

Y is the value on the vertical axis, the dependent variable.

X is the value on the horizontal axis, the independent variable.

m is the slope of the line. Slope is rise/run. The equation for slope is m=(y2-y1)/(x2-x1). It describes how many units up or down the graph travels for every unit traveled to the right. (If it's written as a fraction, like 2/5, that means two units up for every five units right).

b is the y-intercept. This is the y value when the x value is 0, when the line crosses the y-axis.

What is integration of eˆ2x?

Original function: f(x) = e2x

Integrated function: F(x) = e2x/2

Evidence: F'(x) --> f(x) = e2x ; F'(x) = 2e2x/2 = e2x = f(x) Q.E.D

What does it mean when you have a blue horizontal line in the square window and 5 vertical lines in the round window?

Mostly the results for different pregnancy tests differ according to the manufacturer. I suggest reading the instructions form the package or any pamphlet or manual that came with the test

X multiply it by y equal?

x multiplied by y can simply be written as xy. You can't find the value of this expression, until you assume specific values for the variables, x and y.

4 plus 5x equals 1?

4 + 5x = 1

5x = 1 - 4

5x = -3

x = -3/5

x = -0.6

4x - 12 equals 4?

4x - 12 = 4

Divide each side by 4:

x - 3 = 1

Add 3 to each side:

x = 4

What is y equals -6x plus 9?

Just simply set x equal to 0 in the original equation, and solve for y. Then set y equal to 0 in the original equation and solve for x. When you solve for x, you put that answer for the x coordinate, and a 0 for the y coordinate, and when you solve for y, you put that answer in for the y coordinate, and a 0 for the x coordinate.

Let x=0 in y=-6x+9

y=-6(0)+9

y=0+9

y=9

Now put a 9 for your y coordinate, and a 0 for your x coordinate.

(0,9).

Let y=0.

y=-6x+9

0=-6x+9

Subtract 9 on both sides.

0-9=-6x+9-9

-6x=-9

Divide by -6 on each side.

(-6x)/-6=-9/-6

x=1.5

Now put a 1.5 for your x coordinate, and a 0 for your y coordinate.

(1.5,0).

Your final answers are (0,9) and (1.5,0).

What is inverse function for fx equals x divided by x minus 3?

y = x/(x - 3)

so y(x - 3) = x

xy - 3y = x

xy - x = 3y

x(y - 1) = 3y

x = 3y/(y - 1) for y ≠ 1

So, the inverse function is

f(y) = 3y/(y - 1) where y ≠ 1

Why you cannot take time period of simple pendulum as a standard time period?

Because length of the pendulum which is equal to distance between the point of suspension and g is the gravitational acceleration

and a body repeats its to and fro motion in equal interval of time that's why we cant take standard time period.

How much percentage is equal to 1ppm?

1 ppm is one part per million, or one millionth - percentage (which is latin for per hundred) wise, 1 ppm is .0001%