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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

3x -3 equals x plus 5?

Are you asking how to find the value of x? If so: 3x-3 = x+5 3x-x = 5+3 2x = 8 x = 4

Does a regular octagon tessellate?

No, because if you use the formula to find an angle measure: 180(n-2)/n (this formula only works for regular shapes) where n is the number of sides, then the measure of one of the angles equals 135. Then in order to tessellate 135 must be a multiple of 360. But 135 x 2 = 270, and 135 x 3 = 405, so a regular octagon does not tessellate.

3x2 plus 12x equals -1?

3x2 + 12x = - 1

ie 3x2 + 12x + 1 = 0 has no rational roots.

The irrational roots are [-12 +/- sqrt(132)]/6 = -3.915 and -0.085

Did Jaime Escalante have brothers or sisters?

Yes he did. He had a older sister that always taught him how to be a good little boy and not to be mischiveous.

How can you use the addition and subtraction properties of equality to produce equivalent inequalities?

This is the kind of thing to which I think you are referring.

You have an equation such as 4x + 5 = 2x + 3.

You can subtract 2x from both sides to obtain, 2x + 5 = 3,

then add -5 to both sides to obtain 2x = -2,

then divide both sides by 2 to obtain x = -1.

You can do very much the same thing with an inequality such as 4x + 5 lt 2x + 3.

The same steps yield x lt -1.

What is the value of x in the problem 4x plus 18?

The answer is -4.5 (-9/2)

and here's why

4x+18=0

4x=-18

divide by 4

x = -18/4

x = -4.5

when you solve the solution you'll see that when you plug in -4.5 in the original solution you see this...

(-4.5)(4) = -18

-18+18 = 0

Can you simplify x to the second power plus 2x plus 1 divided by x plus 1?

Factor the numerator. x+1 is one of its factors (otherwise, it wouldn't be possible to simplify it). Then cancel the identical factors in the numerator and the denominator.

What is the equation through point 0 negative 1 perpendicular to y equals 2x plus 5?

Given Point: (0,-1)

Given Line: y=2x+5

If the line you are trying to find the equation of is perpendicular to the line given then the slope of the line you are trying to find must be the negative reciprocal of the line given. The slope of the line given is 2 so the slope of the line perpendicular to this one is -1/2. Using y=mx+b we get that y=(-1/2)x+b. Then we must use the point that was given to find b (the y-intercept).

This means:

-1=(-1/2)(0)+b

-1=b

So the equation is y=(-1/2)x-1

What is n2 equals 19?

If: n2 = 19

Then: n = the square root of 19.

What is the ordered pair for x plus y equals 6 and -x plus 3y equals -2?

1. x + y = 6

2. -x + 3y = -2

Adding 1. to 2. gives:

3. 4y = 4

y = 1

Substitutuing y = 1 into 1. gives:

x + 1 = 6

x = 5

Writing our ordered pair in the form of (x,y) we have (5, 1).

What is cosecant squared times secant squared?

That would be 1/(sin2 x cos2) which is nothing in particular that I'm aware of.

It looks like it could also be written as 1/(cos2 - cos4) or as 1/(sin2 - sin4) ,

but I honestly don't see where that gets you.

What is the function of an accumulator?

An accumulator is a register that is a part of a processor. It has more/faster instructions than other registers. Examples:

/360: no accumulator

8080: A

6800: A and B

8086: AX

80386: EAX

x86-64: RAX
The accumulator in an automatic transmission softens the shift between gears.