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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

Simplfy this problem 10x2 - 2x over 4x?

That's not as problem, unless you're practicing the procedure to simplify fractions.

(10x2 - 2x)/(4x) = (10x2)/(4x) - (2x)/(4x) = 2.5x - 0.5

Is the fourth derivative used for anything?

The 4th derivative is very useful in the process of trying to find

the maximum and minimum points of the 3rdderivative.

How do you write y is at most nine units from x?

Absolute value of (y - x) is equal to or less than 9 .

|y-x| ≤ 9

Female 5 feet 3 and a half inches tall what is the ideal weight to tone up belly?

Body building gear can be obtained on the cheap if you know where to look. Checking places like Craigslist for used equipment and the Salvation Army can be a great way to score some great gear on the cheap without a lot of hassle.

If 3x-1 equals 11 what is the value of x2 equals x?

If 3x - 1 = 11: To solve this equation, add 1 to each side of the equation to isolate x (3x -1 +1 = 11 + 1) and now the equation is 3x = 12. The next step is to divide both sides of the equation by 3 to find the value of x (3x / 3 = 12 / 3) for the answer x = 4. Not sure what you mean by x2 x, but you can substitute the value of x (which is 4) to solve.

3x - 1 equals 27?

3x - 1 = 27

So 3x = 28 and x = 28/3 = 91/3

What is the answer to x plus y equals 8 and 2x-y equals 5?

x + y = 8

2x - y = 5

-------------------- add together to eliminate y

3x = 13

x = 13/3

Substitute for x in one of the original equations:

(13/3) + y = 8

y = 24/3 - 13/3

y = 11/3

x=13/3 & y=11/3

What is the solution set for the equation 2x plus 4?

2x + 4 is an expression, not an equation. There can be no solution set for an expression.

How do you Find the inverse function of y equals three fourths x minus5?

Original equation: y = 3/4*x - 5

In order to find the inverse of an equation algebraically, you switch the 'x' and the 'y'.

1. y = 3/4*x -5 (original equation)

2. x = 3/4*y -5 (swap x and y)

3. x + 5 = 3/4 * y (add 5 to both sides)

4. 4/3(x + 5) = y (multiply both sides by the reciprocal of 3/4)

5. (4x + 20)/3 = y (simplify)

The inverse of y = 3/4*x - 5 is y = (4x + 20)/3.

3x plus 8 equals 2x plus 5 What does X equal?

3x+8 = 2x+5

Subtract 2x from both sides: x+8 = 5

Subtract 8 from both sides: x = -3

Two chords and are equidistant from the center of a circle AB equals 3x plus 7 and CD equals 27 x Solve for x?

Chords equidistant from the center of a circle have equal length, so

3x + 7 = 27x

Subtract 3x from each side:

7 = 24x

Divide each side by 24:

x = 7/24

Solve this math problem 2x-3 equals 5x plus 4 equals?

Add 3 to each side: 2x = 5x + 7

Subtract 5x from each side: -3x = 7

Divide each side by -3: x = -7/3 ie -2 and a third

Why are some numbers irrational?

There are numbers which cannot be expressed as ratios of two integers. These are called irrational numbers.

How do you write 3 plus 54 to the second -6 in PEMDAS?

You pretty much write it as you said it. You handle the exponent first and then add and subtract. 3 + 542-6 = 3 + 2,916 - 6 =2,913

What is the exponent of zero is?

no exponent can make a number equal to zero, however any number with an exponent of zero is one.

If y varies directly as x squared and y equals 150 when x equals 5 find y when x equals 4?

First you need to know that the equation you are looking for is y = kx^2.

Then you need to substitute the numbers in:

y = kx^2

150 = k5^2

150 = k25

6 = k

Now that you know k, resubstitute it for the new value of y when x = 4:

y = kx^2

y = (6)(4)^2

y = (6)(16)

y = 96