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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 do you solve z2 plus 8z equals -15?

Because of the zero property of multiplication we must first set it equal to zero and factor the equation.

z^2+8z=-15

z^2+8z+15=0

(z+3)(z+5)=0 either z+3=0 or z+5=0

So, z=-3 or z=-5

The way I factored it is looked for two numbers that multiplied to give me 15 but added to make 8. 1 and 15 didn't work. 3 and 5 worked.

What do X and Y represent?

they are just variables, they are put in place of a number that you need to find out ;) your welcome hot stuff

With t in years since 2000 the population in thousands is given by 222 left paren 1.056 right paren Superscript t Baseline Number What is the population in 2013 and Round answer to 3 decimal places?

According to my interpretation, you have :

P(t) = ( 222 )( 1.056 )^t

For 2013, you would have :

P(13) = ( 222 ) ( 1.056 )^13

P(13) = ( 222 ) ( 2.0306 )

P(13) = 446.739 thousand = 446,739 <-----------------

Answer: 446.739 thousand in 2013 <-------------------

What is the answer to -12x equals 72?

We'll go ahead and find the answer, even though we're not completely convinced

that you know what the question is.

-12x = 72

Divide each side of the equation by -12:

x = -6

How do you find the value of x in 17Xequals 17 plus x?

17x = 17 + x

Subtract x from both sides.

16x = 17

Divide each side by 16.

x = 17/16 or 1 and 1/16 or 1.0625

Check it.

17 x 1.0625 = 18.0625

17 + 1.0625 = 18.0625

It checks.

How do you plot 3x minus 4y equals 4?

Put it into slope intercept form and then proceed to use your favorite method of graphing.

slope-intercept:

y = -3x + 1

How do you factor 2x2 plus 10-9x equals 0?

2x2 + 10 - 9x = 0 or 2x2 - 9x + 10 = 0

So (x - 2)*(2x - 5) = 0

What is the answer for 6x plus 3 in factoring?

6X + 3

3(2X + 1)

==========( all the factoring I see to do here )

What is 7x plus 5 plus 3x?

7x + 5 + 3x is [ 10x + 5 ].

That's the same thing as [ 2 times (5x + 1) ] .

If x12 and y 13 what is x-y?

The idea is to replace "x" by its value, to replace "y" by its value, and then to do the calculations.

How do you derestrict a SYM Jet50-Euro X?

hi there i have a sym jet 50 and i want to know the best way to deristrict it or to make it go faster does anyone have any surgestions?

How to solve for the Quadractic formula 5x2-3x-7 equals 0?

5x2 - 3x - 7 = 0 where a = 5, b = -3, and c = -7

x = [-b ± √b2 - 4(a)(c)]/2a

x = [-(-3) ± √(-3)2 - 4(5)(-7)]/2(5)

x = [3 ± √(9 + 140)]/10

x = (3 ± √149)/10

x = (3 ± 12.21)/10

x = (3 + 12.21)/10 = 15.21/10 = 1.521 or

x = (3 - 12.21)/10 = -9.21/10 = -0.921

The EXACT answer would be x = 3/10 ± √149 /10

Note: 149 is not divisable by a perfect square