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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 graph the equation y equals x plus 4?

y = x + 4

Solve for the y intercept (when x = 0)

y = (0) + 4

y = 4

So we have one coordinate: (0,4)

Now solve another point, let's make y 0:

0 = x + 4

x = -4

So we have a second coordinate: (-4, 0)

Plot those two points on the graph, and draw a line connecting them. The line additionally is keeps going past those points on both sides, unless it is bounded by a restriction -- in this case it is not.

I'll include a link to site that let's you check your work in the related links.

What are the coordinates of the minimum point of a porabola whose equation is y equals x squared plus three?

y = x2 + 3

Since the x term is missing, the x-coordinate of the vertex is 0.

If x = 0, then y = 3.

Thus, (0, 3) is the vertex, the minimum point of the parabola.

How do you graph the equation negative x plus 2y equals 4?

if 2y-x=4, than y=1/2*x+2 we can now see that the graph is linear with slope 1/2 and goes through point (0,2)

What is x plus 5y?

[ x + 5y ] is a number that depends on the values of 'x' and 'y'.

What is The Derivative Of Log Base of 10 ex?

This is how you start by using the derivative of inx formula:

(1/e^x*In10)* e^x

e^x/e^xIn10

our final answer will be: 1/In10

How many non-verticle asymptotes can a rational function have?

Not sure what non-verticle means, but a rational function can have up to 2 non-vertical asymptotes,

What does it mean it art terms In the Round?

The art term "in the round" means that the art work can be looked at from all sides for example a sculpture

How long would it take to count 5000 dolars?

depends on the denomination of the dollar, a penny will take alot longer then 100 bills, also depends if you can count past 10

When x3 plus 3x2-2x plus 7 is divided by x plus 1 what is the remainder?

(x3 + 3x2 - 2x + 7)/(x + 1) = x2 + 2x - 4 + 11/(x + 1)

(multiply x + 1 by x2, and subtract the product from the dividend)

1. x2(x + 1) = x3 + x2

2. (x3 + 3x2 - 2x + 7) - (x3 + x2) = x3 + 3x2 - 2x + 7 - x3 - x2 = 2x2 - 2x + 7

(multiply x + 1 by 2x, and subtract the product from 2x2 - 2x + 7)

1. 2x(x + 1) = 2x2 + 2x

2. (2x2 - 2x + 7) - (2x2 + 2x) = 2x2 - 2x + 7 - 2x2 - 2x = -4x + 7

(multiply x + 1 by -4, and subtract the product from -4x + 7)

1. -4(x + 1) = -4x - 4

2. -4x + 7 - (-4x - 4) = -4x + 7 + 4x + 4 = 11(remainder)

8.75 x 10-3 equals?

Move the point 3 places left giving 0.00875.

What is the common point between lines y equals .75 x plus 2 and y equals .25 x plus 4?

y = 3/4 x + 2

y = -1/4 x + 4

Equalize the 2 equations of the 2 lines & solve for x :

3/4 x + 2 = -1/4 x + 4

3/4 x + 1/4 x = 4 - 2

4/4 x = 2

x = 2

Find y by substituting the value of x in any of the 2 equations:

y = 3/4 x + 2

y = 3/4 (2) + 2

y = 3/2 + 2

y = 7/2 = 3.5

---> The common point where the two lines meet is (2 , 3.5)

How do you graph 8x equals 4y?

4y = 8x

Divide each side by 4:

y = 2x

Draw a straight line, through the origin, with a slope of +2 .

What number must you add to complete the square x2 10x31?

assuming you meant to say: x2+10x+31

you can use this formula: (a+(0.5 b))2 - (0.5 b) + c

in this equation: (x+5)2-25+31

= (x+5)2+16

What is the integral of 1 by secx plus cosx?

It isn't clear what you mean with "by". Are you multiplying 1 by secx, or perhaps dividing? Also, is the multiplication (or division) only by sec x, or by the sum of secx + cos x?