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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

What is 16-8y equals 4x?


16 - 8y = 4x

It is a straight line equation. Graphically, the line two intercept points are:

(0, 2) and (4,0)


What does x equal in the equation 8 multiply x minus 4 equals 3 multiply x plus 1?

It depends.

If you meant 8x-4=3x+1 then:

5x=5

x=1

But if you meant 8(x-4)=3(x+1) then:

8x-32=3x+3

5x=35

x=7

Solve using the rule of 72 rate equals 4 percent years equals 18 fv equals 8000 solve for pv?

Solve, using the Rule of 72 rate = 4%, years = 18, fv=$8,000. Solve for PV.

Formula:

PV = $1/(1+r) t

PV = $8000/(1+.04) 18

PV = $8000/2.0258

3949.03 = $8000/2.20258

What is the y-value of x equals -3?

y is all real numbers at x=-3. On a graph it would look like a vertical line parallel to the y axis that goes from negative infinity to infinity passing through the x axis at -3.

What is the solution set of x plus 1 divided by 10 equals -3 divided by 5?

(X + 1)/10 = -3/5

take the extreme mean; cross multiply

-30 = 5(X + 1)

distribute on right

-30 = 5X + 5

subtract 5 from each side

-35 = 5X

divide each side by 5

-7 = X

check

(-7 + 1)/10 = -3/5

-6/10 = -3/5 same thing, checks

What is the answer to 2x2 plus 10x plus 12x plus 3?

2.2+10.x+12.x+3

=4+10.x+12.x+3

=22x+7

This is assuming you just needed to simplify. The "." are just multiplication signs.

What are the points of contact when the line 3x -y equals 5 crosses the curve 2x squared plus y squared equals 129?

The simultaneous equations are: 3x -y = 5 and 2x^2 +y^2 = 129

If: 3x^2 -y = 5 then y^2 = 9x^2 -30x +25

If: 2x^2 +y^2 = 129 then y^2 = 129 -2x^2

So: 9x^2 -30x +25 = 129 -2x^2

Transposing terms: 11x^2 -30x -104 = 0

Factorizing the above: (11x -52)(x +2) = 0 meaning x = 52/11 or x = -2

By substituting the above values into the original equations the points of contact occur at (52/11, 101/11) and ( (-2, -11)

How do you solve 2x27x-3 using the quadratic formula?

Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "times", "equals", "squared". It is not possible to make sense of the equation that you are referring to.

What is the derivative of x to the power of e?

e^[ln(x^2)]=x^2, so your question is really, "What is the derivative of x^2," to which the answer is 2x.

How many sq yard in 58370 sq feet?

There are 6485.56 square yards in 58370 square feet. (58370 / 9).

What is the ordered pair of y equals 3x plus 2 y equals x plus 12?

y = 3x + 2

y = x + 12

You're looking for the point where the graphs of those two equations intersect.

At that point, the x-values of both lines are the same, and their y-values are the same.

Since the y-values are the same,

3x + 2 = x + 12

Subtract x from each side of the equation:

2x + 2 = 12

Subtract 2 from each side:

2x = 10

Divide each side by 2:

x = 5.

Substitute [ x = 5 ] back in either one of the original equations:

y = x + 12

y = 5 + 12

y = 17

The intersection point is (5, 17) .

Is 3g x x a linear function?

Probably not but it is impossible to be sure because, unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. Please resubmit your question spelling out the symbols as "plus", "minus", "equals" etc. And using ^ to indicate powers (eg x-squared = x^2).