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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

Under what circumstances would the domain be something other than all real numbers?

It would be an imaginary number (one that cannot exist). For example the square root of a negative number.

What is the answer to 3x plus 11 equals -25-9x?

Add 9x to each side: 12x + 11 = -25

Subtract 11 from each side: 12x = -36

Divide each side by 12: x = -3

What is x plus 2xx plus 4?

X+2X2+4= just that. can't be simplified.

however...

X+2X+4= 3X+4

errr, is that what you meant?

What is number y?

Whatever you want it to be. In mathematics, letters are used for "variables", placeholders for a number which is not specified. Sometimes you are supposed to find a value of "y" so that a certain equation is true. For example, if y + 5 = 8, the only correct value for y is 3. In another equation, "y" may have a different value.

2 perenthesis -2 perenthesis -3y equals 6?

2(-2)-3y=6 which is equal to -4 -3y = 6 which is equal to -3y = 10 which is equal to y = -(10 / 3) = -3.333...

4 plus -1 -2 1?

The result obtain from the equation 4 plus -1 -21 is -18.

X squared plus nine x plus eleven divided by x plus seven?

are you sure from this equation ?

x^2 + 9x + 11

____________ = zero

x + 7

or there is no zero ??

please be sure from the x^2 + 9x + 11 ???

What is the function of the BKF?

If you mean Microsoft's backup file extension, it's function is to make PCs and Macs even more incompatible, thus putting more money into Bill Gates' pocket.

What will be the answer of this (956 - 830) x (908 x 291 plus 598)?

(956 - 830) x (908 x 291 + 598) =

(126) x (264228 + 598) = 33368076

What is the equation whose solutions are x equals 1.5 over 6.5 and x equals 6.5 over 1.5 showing work and checking the answer with the quadratic equation formula?

1.5/6.5 = 3/13 and 6.5/1.5 = 13/3

The equation is : 39x2 - 178x + 39 = 0

x = {-(-178) ± sqrt[(-178)2 - 4*(39)*(39)]}/(2*39)

= {178 ± sqrt[25600]}/78

= {178 ± 160}/78

= 18/78 or 338/78

= 3/13 or 13/3, as required.

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This is what I would add, although it might be unnecessary:

As Mehtamatics indicates the solutions are 3/13 and 13/3. This implies that the equation can be written as the product of factors ( x - 3/13 ) and ( x - 13/3 ).

( x - 3/13 )( x - 13/3 )

= x2 - ( 39 + 169 ) x / 39 + ( 3/13 ) ( 13/3 )

= x2 - 178 x / 39 + 1

= 39 x2 - 178 x + 39 = 0