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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

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%

X plus 4 equals 2X plus 6?

x+4=2x+6 x=2x+2 (subtract 4 from each side)

-x=2 (subtract 2x from each side)

x=-2 (multiply each side by -1)

------Check------

-2+4=-4+6 (Plug x value into original equation)

2=2 (simplify)

What is the Derivative of y equals k multiplited by N divide 1 plus N2 where k is a constant?

y = kn / (1 + n2)

First, let's express it with negative exponents:
y = kn * (1 + n2)-1

Then apply the chain rule:
dy|dn = k(1 + n2)-1 - kn(1 + n2)-2 * 2n

And simplify:
dy|dn = k / (1 + n2) - 2n / kn(1 + n2)

3x plus 7 equals 6x-2?

Subtract 3x from each side: 7 = 3x - 2

Add 2 to each side: 9 = 3x

Divide each side by 3: x = 3