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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

Is the inverse a function?

a relation that is the inverse of the original function. So the variables ( x and y) are swapped. xcoordinatesbecomes ycoordinatesand vice versa.

f(x) = 2x +5

inverse f(x) = (x - 5)/2

Is y equals 5x plus 3 parallel or perpindicular?

Neither: because one line, by itself, can be neither parallel or perpendicular. These characteristics are relevant only in the context of another line (or lines). The given line is parallel to some lines and perpendicular to others.

What is the equation of the curve yx2 plus 2x plus 1 when y1?

Without an equality sign the given terms of an expression can't be considered to be an equation and so therefore no solution is possible.

What is the derivative of just a constant?

0

A derivative is the rate of change of a function as another variable changes. As there is no change to a constant, the derivative is necessarily 0.

What is x cubed plus x squared plus four equal zero?

My iTouch calculator isn't working, so I will simplify the problem for you: x to the 5th power = -4

How many millameters is in one kilometer?

The prefix "kilo" means thousand; the prefix "milli" (not "milla") means 1/1000. If you divide that, you get a million millimeters in one kilometer.

What are some calculus equations?

any differential equation would be considered a calculus equations.

How do solve the equation b4 - 3b3 -10b2 equals 0?

b4-3b3-10b2=0

divided by b2 -> b2-3b-10=0 (if b is not 0)

Delta=(-3)x(-3) - 4 x 1 x -10 = 49

b=(3+7)/2 or b=(3-7)/2

b=5 or b =-2

if b=0 the equation also holds then b=0 or b=5 of b=-2

If 1salesmen can sell three stoves in seven minutes how many stoves can six salesmen sell in seventy minutes?

If 1 salesman can sell 3 stoves in 7 minutes, 6 salesmen can sell 6 times that amount

3 x 6 = 18

6 salesmen can sell 18 stoves in 7 minutes.

Now, There are 10 sevens in 70, so there are 10 time periods in which 6 salesmen can sell 18 stoves.

So, multiply 18 by 10

18 x 10 = 180.

6 salesmen can sell 180 stoves in 70 minutes.

What is the answer to -6 x plus 3 6?

you might need to reword that ~sorry

-if that means: -6x+36=0, then...

-6(x-6)

x=6

What is the answer to 2 plus 3x plus 5x equals 98?

The "answer" usually means the number that 'x' must be in order to

make the statement true. Here's a way to find it:

2 + 3x + 5x = 98

Combine the 'x' terms on the left side:

2 + 8x = 98

Subtract 2 from each side:

8x = 96

Divide each side by 8:

x = 12

What is the linear system of y equals -x plus 1?

A "system of equations" implies that there is more than one equation.

Y equals 5-2x and 2y plus x equals 1 are the lines perpendicular?

Solve both equations for y in terms of x:

y = (-2)x+5

y = (-1/2)x+1/2

Multiply the slopes together:

(-2) X (-1/2) = 1

In order for the lines to be perpendicular, the product of the slopes would have had to equal -1, but it equals 1, so they're not perpendicular.

7 x plus 8 equals 84?

7x + 8 = 84

7x = 84 - 8

x = 76/7

x = 10.8571