0
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 49 minus X squared over X minus 7?
49 - x2 = -(x2 -49) = - (x-7)(x+7)
divide by x -7
Answer: -(x+7) = -x-7
What lines would these be 2x plus 5y equals 6 and 5x-2y equals 8?
2X + 5Y = 6
5Y = - 2X + 6
Y = - 2/5X + 6/5
----------------------------------and
5X - 2Y = 8
2Y = - 5X + 8
Y = - 5/2 + 4
-------------------
Look like intersecting lines, though not perpendicular
Which point is outside the graph of Y multiply 5?
I can't shake the nagging feeling that I'm supposed to get
some kind of a list of choices along with this question.
Note : sin² Φ + cos² Φ = 1 for all real Φ.
__________________________________
Now, given that : cos² (6y) + sin² (6y) = y + 14
∴ 1 = y + 14 ∴differentiating w.r.t. x, ... 0 = (dy/dx) + 0
∴ dy/dx = 0 ........... Ans.___________________________________
Happy To Help !
___________________________________
n= 2B2-B
B= y-1
Substitute.
n=2(y-1)2-(y-1)
Foil (y-1)2.
n=2(y2-2y+1)-(y-1)
Distribute the 2.
n=2y2-4y+2-(y-1)
Distribute the negative.
n=2y2-4y+2-y+1
Combine like terms.
n=2y2-5y+3
Final answer:
n=2y2-5y+3
This question is really asking you to find the value of x. Once you have found the x value you can prove or disprove the equation. To solve for x, isolate it in the equation.
3x + 12 = 5x +4 (Subtract 4 from both sides)
3x + 8 = 5x (Subtract 3x from both sides)
8 = 2x (divide both sides by 2)
4 = x So, if x = 4 does that prove your equation is correct?
3(4) + 12 = 24 5(4) + 4 = 24
What is x when 2 x squared equals 250?
If 2x2 = 250 then x2 = 250/2 = 125
So x = sqrt(125) = 5*sqrt(5) = +/- 5*2.236 = + or - 11.180
How do you solve x equals -2y?
As an equation, x = -2y cannot be solved without further information.
To solve an equation (or multiple equations), the number of unknowns (x, y etc.) must be equal to or less than the number of equations. In your example you have 2 unknowns and 1 equation, so it does not work.
How do you solve this linear system using elimination 2x-3y equals -2 4x plus y equals 24?
2X - 3Y = -2
4X + Y = 24
-2(2X - 3Y = - 2)
4X + Y = 24
- 4X + 6Y = 4
4X + Y = 24
------------------+
7Y = 28
Y = 4
-------
insert back into one of the equations ( 4X + Y = 24 will do )
4X +(4) = 24
4X = 20
X =5
--------
check
2(5) - 3(4) = -2
10 - 12 = -2
-2 = -2
checks
I can see by inspection that the other equation checks also
What is the value of f(x) when the x 6?
f(x) is a function that somehow depends on "x". Since it can be anything, you need more information - specifically, you need to know how the function is defined.
What is the solution to 16x-8x-12 equals 24 plus 20?
x = 7
your equation in simplified form is this (which means you get all like terms together)
8x = 56
just divide 8 on both sides and you get 7
-x2 + 5x - 4 = 0.
Then,
x2 - 5x + 4 = (x - 4)(x - 1) = 0; whence,
x = 1 or 4.
Checking,
-1 + 5 - 4 = 0; and
-16 + 20 - 4 = 0.
What does x plus 2y equals 13?
x+2y=13 has infinite answers, because you have two variables and only one equation.
What equation equals to df plus 10f equals 3 for d?
If: df+10f = 3
Then: f(d+10) = 3
And: d = 3/f -10
