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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 many 0 do you put when you divide by ten?

only one and it depends if you got more zeroes in the number like 100, 1000, 10000 as many as the number has....!!!

What is the answer of -2x plus 4greater than12?

What you want to do is get x by it self so to do that you must do two things: First you must minus 4 from both sides -- so now you have -2x greater than 8. Second you must divide by -2 however if you multiply or divide by a negative number in a greater than or less than equation then you must flip the sign -- thus you end up with x is LESS THAN -4. -2x + 4 > 12

-2x + 4 - 4 > 12 - 4

-2x > 8

-2x/-2 < 8/-2

x < -4

How would you solve the following over the interval 0 is less than or equal to x which is less than 2pi here's the problem 2cos squared x minus 5cos x minus 3 equals 0?

2 cos2(x) - 5 cos(x) - 3 = 0

To save some writing, let's temporarily write "Q" instead of "cos(x)".

2 Q2 - 5 Q - 3 = 0

Factor the trinomial:

(2 Q + 1) (Q - 3) = 0

2Q + 1 = 0

2Q = -1

Q = - 1/2

Q - 3 = 0

Q = 3

Recalling that 'Q' is a cosine of an angle, (Q = -1/2) is the root that makes sense,

because the cosine of a real angle can never be 3 .

So now, we can get rid of 'Q' and go back to the cosine:

cos(x) = -1/2

x = 120 degrees

x = 240 degrees

What value of x when y200?

You need to give context for an answer. How are x and y correlated?

How will you compare 3x 4y equal to less than 12 and 3x 4y equal to greater than 12?

They are two regions of the Cartesian plane with the straight line 3x + 4y = 12 defining their boundary. That line is not part of either region.

What does x equal in 3x plus 9 equals 54-2x?

3x + 9 = 54 - 2x

Subtract '9' from both sides

Hence

3x = 45 - 2x

Add '2x' to both sides

5x = 45

Divide both sides by '5'

x = 9 The answer!!!!!

Verification

3(9) + 9 = 27 + 9 = 36

&

54 - 2(9) = 54 - 18 = 36

Hence both sides are equal at '36'.