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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

How many kl is one ml?

As long as you have your lettering correct then

1kl = 1,000,000ml

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How do you write x3 plus 2x2-5x-6 in factored form?

x3 + 2x2 - 5x - 6 = x3 + x2 + x2 + x - 6x - 6 = x2(x + 1) + x(x + 1) - 6(x + 1)

= (x + 1)(x2 + x - 6) = (x + 1)(x2 + 3x - 2x - 6) = (x + 1)[x(x + 3) - 2(x + 3)]

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

Find the value of x in the equation x squared equals 6x minus 9?

(X-3)(X-3)

Foil that and you will see tha X = 3. This is a parabola that touches the X axis at X = 3.

What is -6x plus 3y equals -18 -10 plus 5y equals -30 using substitution?

The question is not quite clear, do you mean -6x+3y = -18 and -10+5y = -30?

If so then the solution is:

-10+5y= -30

5y = -30+10

5y = -20

y = -4

Substitute the value of y into the equation -6x+3y = -18:

Answer: x = 1 and y = -4

How do you Simplify 4 over 2X plus 9 over 3X?

You can divide the integers in this case - 4 divided by 2 and 9 divided by 3. You would get 2 over x plus 3 over x.

4/2x + 9/3x = 2/x + 3/x = 5/x

How do you solve x plus 4 equals 8?

x=4

From superscot85: How you solve it is to subtract 4 from each side leaving x = 4

How do you graph y equals 3x?

That would be a very simple graph, in the form of a straight line. The line passes through the origin, that is, the intersection of the x and y axes, since as you see from the defining equation y = 3x, when x is zero, y is also zero (3x0 = 0). To draw the line we need only one other point. Let look at x = 4. So, y = 3x4 = 12. We mark a dot at (4,12) and then connect that dot to the origin and voila, we have the graph. The line can be extended as far as you like, of course, it doesn't run only from x=0 to x=4. Lines continue forever.

How would you find the values of x in the parabolas of y equals 4x2 -12x -3 and y equals x2 plus 11x plus 5 by completing the square?

If: y = 4x^2 -12x -3 and y = x^2 +11x+5

Then: 4x^2 -12x -3 = x^2 +11x+5

Transposing terms: 3x^2 -23x -8 = 0

Dividing all terms by 3: x^2 -23/3x -8/3 = 0

Completing the square: (x-23/6)^2 = 625/36

Square root both sides: x-23/6 = -25/6 or 25/6

Add 23/6 to both sides: x = -1/3 or 8

Therefore the values of x are: -1/3 or 8

What is the answer to -9 - 7x equals -5?

-9-7x=-5

express first the equation in terms of x,

where,

7x=-9+5

then,

7x=-4

thus,

x=-4/7

11 equals x over -5 Plus 8?

x/-5 + 8 = 11

To solve this:

Subtract 8: x/-5 = 3

Multply by -5: x = 3*-5

Work it out: 3*-5 = -15

x = -15

Is there a rule to decide if a shape will tessellate?

For regular polygons, the interior angle must be a factor of 360 degrees.

Irregular triangles and quadrilaterals (whose angle sums are factors of 360 degrees) will tessellate. For other polygons, I am not aware of any simple rule.



For regular polygons, the interior angle must be a factor of 360 degrees.

Irregular triangles and quadrilaterals (whose angle sums are factors of 360 degrees) will tessellate. For other polygons, I am not aware of any simple rule.



For regular polygons, the interior angle must be a factor of 360 degrees.

Irregular triangles and quadrilaterals (whose angle sums are factors of 360 degrees) will tessellate. For other polygons, I am not aware of any simple rule.



For regular polygons, the interior angle must be a factor of 360 degrees.

Irregular triangles and quadrilaterals (whose angle sums are factors of 360 degrees) will tessellate. For other polygons, I am not aware of any simple rule.

What is the answer to 5x plus 33 equals 15x-77?

5x + 33 = 15x - 77

Subtract 5 x from both sides: 33 = 10x - 77

Add 77 to both sides: 110 = 10x

Divide both sides by 10: 11 = x

What is the derivative of x-cosx?

Take the derivative term by term.

d/dx(X - cosX)

= sin(X)

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How many units do sin and cos repeat themselves on the x-axis?

Since the x axis in infinite, the functions repeat infinitely many times.

Which choice explains why this function does not have an inverse function?

It might have been possible to answer the question had you given some information about "this function". However, since you have not bothered to share that crucial bit of information, I cannot provide a more useful answer.

Which types of lines match these equations 2x - 3y equals 2 x plus 2y equals 8?

2x - 3y = 2
The graph of this equation is a straight line, which crosses the y-axis where [ y = -2/3 ]
and has a slope of 2/3 .

x + 2y = 8
The graph of this one is also a straight line, which crosses the y-axis where [ y = 4 ]
and has a slope of -1/2 .