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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

Absolute value of x plus 7?

The absolute value of any number is the "distance from zero". If the expression is negative, it is converted to positive. The absolute value of x+7 can be either x+7 (if x+7 is positive) or -(x+7) (if x+7 is negative).

Is y equals -5x plus 3 a linear function?

Yes, y=-5x+3 is a linear function. We know that by two factors. First, if you plot the function, you find that it draws a straight line, hence the term linear. Second, if you inspect the non-constant terms, you find that all of the are in the first power, i.e. there are no "squareds", "cubes", square roots", etc. This also makes it s linear function.

Proof of the derivative of the cosecant function?

Express the cosecant in terms of sines and cosines; in this case, csc x = 1 / sin x. This can also be written as (sin x)-1. Remember that the derivative of sin x is cos x, and use either the formula for the derivative of a quotient (using the first expression), or the formula for the derivative of a power (using the second expression).

What does x plus 1 plus 7x -3 equal?

x+1+7x-3

Simplify adding the x terms and the numbers separately So it becomes

x+7x+1-3 = 8x-2

What is the solution for X squared plus 49 equals 0?

It'll be a complex number, denoted by 7i, where the number i is defined to be equal to the square root of -1.

X plus y 6?

I assume you meant, x + y = 6.
Now you can get multiple answers (if x and y are integers).

  1. x = 0, y = 6
  2. x = 1, y = 5
  3. x = 2, y = 4
  4. x = 3, y = 3
  5. x = 4, y = 2
  6. x = 5, y = 1
  7. x = 6, y = 0

What is ray in math terms?

A ray looks like this: •---------------->

One end point, and an endless line going the other way.

What are quadratics used for?

I am actually doing a project on quadratics right now. what i have learned is that quadratics are used alot in sports like golf to measure like the curve of a golf ball and they are alos used in buissness and higher math. I couldn't find alot of information about how they were used in real worl scenarios so i focused more on how porabala's are used in architecture, for example i said that the mccdonalds sign is two porabala's put together. This is the pbest i could do !

How do you do 2x plus y equals -12 -4x-2y equals 30?

2x+y=-12-4x-2y=30

x=-y/2+30, you plug this into -12-4x-2y=30 and get -12+2y-120-2y=30

which gives 2y-2y=162.

This is not possible, so the equation is unsolvable.

How does the bob affects the period of a pendulum?

  • The period of a pendulum is totally un-affected by the mass of the bob.
  • The time period of pendulum is given by the eqn.

T=2*PIE*(l/g)1/2 ;l is the length of pendulum

;g is the acceleration due to gravity.

  • 'l' is the length from the centre of suspension to the centre of gravity the bob.
  • ie.the length of the pendulum depends on the centre of gravity of the bob,and hence the distribution of mass of the bob.

What has the author E X Boozhie written?

E. X. Boozhie has written:

'The outlaw's bible' -- subject(s): Criminal procedure, Popular works

How are solving inequalities differ from solving equations?

Mainly, in the case of simple inequalities, you have to remember that when multiplying or dividing by a negative number, the direction of the inequality changes, for example, from greater-than to less-than or vice versa. Also, for more complicated inequalities, such as those that involve polynomials or absolute values, additional steps are required.

How do you evaluate the function for y3x minus 2?

Assuming the equation as: y3x-2 =0

Then: 3xy = 2 or y = 2/3x

for x = 0, y = infinity

for x = 1, y = 2/3

for x = 10, y = 2/30

for x = infinity, y = 0

How do you solve x2 plus 6x - 2 equals 0 by completing the square?

You mean find vertex. Solving for X is another matter, using the quadratic formula here.

Vertex form:

X2 + 6X - 2 = 0

X2 + 6X = 2

Halve the linear term( 6), square it and add it to both sides

X2 + 6X + 9 = 2 + 9

factor the left side and gather terms on the right

(X + 3)2 = 11

(X + 3)2 - 11 = 0

================vertex form

(- 3, - 11 )

==========Vertex

What must be subtracted from 4x power 4 so that the result is exactly divisible by 2x power 2 plus x-1?

NOT CALCULUS.

Use long division. 2x2 + x - 1(4x^4)

2x^2 goes into 4x^4 2x^2 times. The remainder will then be (2x^2*(x-1)). This result(2x^3 - 2x^2) is what need to be subtracted from 4x^4 to make it exactly divisible

What is the solution to this system of equations x4y 1?

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", "equals" etc. Also use ^ to indicate powers (eg x-squared = x^2).

What is -9x - 3 -3x equals 4 plus x?

-9x - 3 - 3x = 4 + x

combine the -9x and -3x

-12x - 3 = 4 + x

subtract x from each side

-13x - 3 = 4

add 3 to each side

-13x = 7

divide both sides by -13

x = -7/13