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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

Why doesn't a rational function not need at least one vertical asymptote?

That is not correct. A rational function may, or may not, have a vertical asymptote. (Also, better don't write questions with double negatives - some may find them confusing.)

60 OZ EQUALS?

1.77441178 liter 8 ounces in each cup therefore 60 ounces equals 7.5 cups US or 7.8 cups UK

How can find the radius of curvature?

There is a specific formula for finding the radius of a curvature, used often when one is measuring a mirror. The formula is: Radius of curvature = R =2*focal length.

What is the length of time to burn a match?

About 45 seconds to end of match but depends how long and what quality the match is,

Solve the system by the elimination method 5x plus 5y equals -13 7x-3y equals 17?

It helps to set these up vertically.

5x +5y = -13

7x - 3y = 17

Now, I can see that it will be easiest to cancel my y's, I just need to modify the equations so that the coefficient is the same in both equations. I will multiply the top equation by 3 and the bottom equation by 5 to get,

15x + 15y = -39

35x - 15y = 85; Now, add the 2 equations and the y's will cancel.

50x = 46; x = 0.92

Plugging x back into any equation, perhaps the top one, will give

4.6 + 5y = -13

5y = -17.6

y = -3.52

ANS: (0.92,-3.52)

What is the estimate of 214 x 3?

For a basic estimate, focus on the hundreds alone:

200*3 = 600

For a bit more precision, 14 is close to 15 which is easier to triple. Simply add it to the 600 above.

15*3 = 45

600 + 45 = 645

For an accurate answer, subtract off the extra three you threw in from multiplying by 15 instead of 14

600+45 - 3 = 642

How do you solve and graph 6x-12 greater than or equal to 2x plus 20?

6x - 12 ≥ 2x + 20

First, get the numbers without a variable (x) together. You can do this by adding 12.

6x ≥ 2x + 32

Now, get the variables on the other side. You can do this by subtracting 2x.

4x ≥ 32

Now, you want to get x alone, so divide by the coefficient (4).

x ≥ 8

To graph this, graph the equation x = 8 (this will be a vertical line) and shade the area to the right of the line (where the numbers are larger than the number 8 (greater than)). Since x is also equal to eight, make certain the dots you used to graph the line are filled in. If it had not been equal to 8, you would leave these dots hollow.

Lim x2 3x plus 1?

If you mean:

Lim(x→2) 3x + 1

Then the answer is 7

If you mean something else, then you'll need to clarify your question.

Solve x equals cx equals AA plus 1?

x = cx = aa+1

If x = cx, then c = 1

aa = a2

if a2 + 1 = x, then

a2 = x-1 short of parametrization, this is the answer for this equation, but if you doing advanced maths, then let x= t (teR)

a2 = -1 +t (teR)

What is breaket function?

I suspect that you mean the function that is also called the floor function.

The floor function of x, floor(x) is the maximum integer that does not exceed x.

Instances:

  • floor (-5.3) = -6
  • floor (-2) = -2
  • floor ( -1.3 ) = -2
  • floor ( 0 ) = 0
  • floor ( 1.5 ) = 1
  • floor ( 21.4 ) = 21

For a graph you might wish to see the wikipedia article.

What is the answer for y in y-3x plus 2?

y-3x+2 is an expression, not an equation. An expression cannot be solved.