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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

What is 2x plus 25 equals 7x?

2X + 25 = 7X

subtract 2X from each side

25 = 5X

divide both sides by 5

5 = X

What is the solution to x plus y equals -2?

There are infinitely many solutions, for example, x=-7 and y=5, because -7+5=-2

What is the derivative of e3.14?

e3.14?

-The derivative of eu is:

d/dx(eu)=eu*[d/dx(u)]

d/dx(e3.14)=e3.14*[d/dx(3.14)]

d/dx(e3.14)=e3.14*(0) ;The derivative of a constant is 0.

d/dx(e3.14)=0

What is x squared plus 8x minus 20 equals 0 if you solve by factoring show work?

x2 + 8x - 20 = 0

(x + 10) (x - 2) = 0

(x+10) = 0 . . . . . x = -10

(x - 2) = 0 . . . . . x = 2

Please be sure to copy the work accurately before you hand it in. If you were to

hand it in with a stupid blunder, it could affect our reputation as a reliable place

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What is 5 plus 7x equals 75?

If you want to solve what 'x' is then you would do it like this. 5 + 7x = 75, then take away 5 from both sides to get 7x = 70, then divide both sides by 7 to get x=10.

How do you solve x over -4 plus 5 equals -5?

x/-4 + 5 = -5

x/-4 +5 -5 = -5 -5

x/-4 = -10

x/-4 x -4 = -10 x -4

x = 40

Is 5x plus 4y equals 0 a function?

Yes it is a function.

5x + 4y = 0

the same as:

5x = -4y

You can also solve for either variable.

x = - ( 4 / 5 ) y

y = - ( 5 / 4 ) x

What test determines if a function is one to one?

First recall that a function is one to one if no two elements in its domain have the same element in the range

One trick to finding out if a function is one to one is to use the Horizontal line test. You may view the link for a better explanation.

The main idea is if a horizontal line intersects the graph of a function more than one time, then the function is not one to one. This is important because if it is not one to one, it has no inverse.

Are y equals 2x plus 5 Parallel yes or no?

If they have the same slope or gradient of 2 but different y intercepts then they are parallel.

You have not given enough information for a yes or no answer.

How many real solutions are there in the equation 2x2 plus 2x - 4 equals 0?

0 = 2x^2 + 2x - 4 = 2(x^2 + x - 2) = 2(x-1)(x+2)

Thus, there are two real solutions:

x = 1 and x = -2

What describes the graph of gx equals -3x plus 5?

A straight line, passing through the point (0,5) with a gradient of -3.

What is 158.2 g x 106mL equals?

158.2 g * 106 mL = 167.692 gram millilitres although I have no idea what mass times volume means or what it measures.

What is x when 5x 18 equals 20?

5x * 18 = 20

1. /18

5x=1.11111111

2. /5

x=0.2222222222

How do you solve for x when 4 to the power of 3x plus 5 equals 16?

(4^3x)+5=16

4^3x=11

now you can break it down by multiplying out the 3

64^x=11

then you take logs

x= log(11)/6log2.

Or if it's 4^(3x +5) = 16, then you can do it like this: 16 = 4^2, so we have:

4^(3x +5) = 4^2. The bases are the same, in the equation, so the exponents must be equal as well (you can take log-base4 of each side): 3x+5 = 2 --> x = -1

How do you solve 3x plus 2y equals 4 4x plus 3y equals 7?

You need to organise your question properly.

3x+2y=4 4x + 3y= 7?

Is 4 4x = 44x or 4-4x or 4+4x

How can there be 2 equal signs in 1 equation?