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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

My roommate always looks at me when I am changing Is he gay and how do I get him to stop One time I woke up naked but I was clothed when I went to sleep I think he touched my balls at night?

Get changed with the door closed. You went to bed clothed but woke up naked, what did you do about that? Did you ask your roommate if he had any idea of what happened. Where you drunk when you went to be. You must be sure before accusing someone of touching your balls at night. Lock your door when you go to bed at night. Set up a video camera in your room while your gone or home asleep. Sit down and have a talk with him before something happens that you will regret. This doesn't sound like a good home situation since you sound so very uncomfortable about it. You have options: move out or talk to him about it. Definitely lock your bedroom door.

What is the answer to 24 equals 3x?

24 = 3x x = 8

Why?

This is the algebraic version.

1) Make the 3x into just into the variable by dividing 3 by 3 which is one and a variable is always understood algebraically as one.

24 = 3x

--- = 1 or x

3

2) Do the same on both sides on if you divide by 3 on the right side, do it to the left as well.

24 = 3x

8 = --- --- = 1 or x

3 3

x = 8

Is 2x plus 3x plus 4x a binomial?

When they are added together, the sum is a monomial.

5x-1 equals 21 plus 3x?

5x - 1 = 21 + 3x

Add '1' to both sides

5x = 22 + 3x

Subtract '3x' from both sides

2x = 22

Divide both sides by '2'

2x/2 = 22/2

x = 11

=

If 5x plus 2x plus 3x plus 10x equals 140 What is x?

x=7 look at the bottom for the reason:

First, when a number and a variable are placed next to each other it means to multiply the 2. (example- what is 3x if x=7 ? Well, 3x7=21 so, 3x=21)

so, 5x + 2x + 3x + 10x = 140

20x = 140

40/20 = 7 so,

(5x7) + (2x7) + (3x7) + (10x7) = 140 so,

35 + 14 + 21 + 70 = 140

What is the answer 2x plus 3 equals 9 x?

2x + 3 = 9x

Subtract 2x from each side: 3 = 7x

Divide each side by 7: x = 3/7.

How do you find the Fog-2 of FofX equals 2x - 7 and GofX -4x plus 6 I tried it but got this crazy answer Please help?

f(x) = 2x - 7g(x) = -4x + 6


f.g(-2) = f(g(-2))

g(-2) = -4*-2 + 6 = 8 + 6 = 14

so f.g(-2) = f(14) = 2*14 - 7 = 28 - 7 = 21.

What does 2x - 3y -6 equal in y mx b?

If you mean the straight line formula of: y = mx+b

Then: 2x-3y-6 = 0 or y = 2/3 x -2 so m=2/3 and b=-2

If you mean that 2x-3y = -6 , then y = 2/3 x + 2 so m=2/3 and b= +2

How do you use the vetical line test to determine a function?

f(x) = x2

This is a function by the vertical line test because a vertical line drawn through this function will only intersect the function at one point

What is the intergral of ex2?

Do you mean?

int ex^2 dx

This is a integration by parts.

uv - int v du

u = x^2

du = 2X

dv = e

v = e

ex^2 - int e 2x

ex^2 - ex^2 + C

-------------------------

What is the x and y intercept of x plus y equals 1?

If X=0, then Y=1, therefore the point (0,1) is the y intercept.

If Y=0, then X=1, therefore the point (1,0) is the x intercept.

If 3x minus1 equals 11 what is the value of x 2 plus x?

To Find: x^2 + x

Procedure:

Given: 3x - 1 = 11.

Solving, we have

3x - 1 + 1 = 11 +1

3 x = 12

x = 4

Therefore, x^2 + x = 4^2 + 4 = 16 + 4 = 20

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Factor x to the fourth minus five x squared plus 9?

(x - (1.65831 + 0.5i))(x - (1.65831 - 0.5i))(x + (1.65831 - 0.5i))(x + (1.65831 + 0.5i)) where i is the square root of -1

If x plus y equals -2 and xy equals 2 then what is x cubed plus y cubed?

x + y = -2

∴ y = -2 - x

xy = 2

∴ x(-2 - x) = 2

∴ -2x - x2 = 2

∴ x2 + 2x + 2 = 0

∴ x2 + 2x + 1 = -1

∴ (x + 1)2 = -1

∴ x + 1 = i

∴ x = i - 1

recall: y = - 2 - x

∴ y = - 2 - (i - 1)

∴ y = -2 - i + 1

∴ y = - i - 1

∴ x3 + y3 = (i - 1)3 + (- i - 1)3

= (i - 1)(i2 - 2i + 1) + (- i - 1)(i2 + 2i + 2)

= i3 - 2i2 + i - i2 + 2i - 1 - i3 - 2i2 - 2i - i2 - 2i - 2

= i3 - i3 - 2i2 - i2 - 2i2 - i2 + i + 2i - 2i - 2i - 1 - 2

= -6i2 - i - 3

= 3 - i

What is 7x equals 2x?

That is not solvable. It's like saying 7x2=2x2