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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 do you factor 5x cubed minus 3x squared plus 2x equals 0?
5x3 - 3x2 + 2x = x*(5x2 - 3x + 2)
The quadratic has no real factors.
How do you graph an equation like y equals x x plus 1 x minus 2 squared?
The equation is y=x(x+1)(x-2)2
How do you solve 9x plus 2y equals 0 and 3x-5y equals 17 using the linear combination method?
9x + 2y = 0
3x - 5y = 17
Multiply the second equation by -3 so now the system looks like:
9x + 2y = 0
-9x + 15y = -51
So now when we add the two equations together (in their like-terms columns), we are left with just one variable:
0x + 17y = -51
Solve for y:
17y = -51
y = -3
And plug y = -3 into either of the original equations to get the value of x:
9x + 2y = 0
9x + 2(-3) = 0
9x - 6 = 0
9x = 6
x = 2/3
So the answer is x = 2/3 and y = -3.
What three dimensions are used to find the volume of a rectangular solid?
height length depth or x , y, and z
WHAT IS 17 plus 3X- 11 equals 0?
X= -2 ! Since the equation must equal zero - 17+3x must equal 11. The variable 3x HAS to equal -6... therefore x is equal to minus 2.
What is the slope of 3x plus 3y equals 12?
The slope is -1.
3x+3y=12 Subtract 3x
3y=-3x+12 Divide by 3
y=-x+4
If all x are not used is f a function?
As I understand the question: yes, f(x) can be a function even if f(x) is not defined for all x. For example, f(x) = x/x is a function that is equal to 1 everywhere but at x=0, where it is undefined.
If x equals 4y and x plus y equals 10 what are the values of x and y?
x + y = 10.
Substitute x = 4y into this equation: 4y + y = 10
Combine like ters: 5y = 10
Divide through by 5: y = 2
Substitute this value of y in x = 4y ie x = 4*2 = 8.
3x+x=32 (original equation)
4x=32 (combine like terms)
x=8 (divide each side by 4 to eliminate x by itself)
What is y divide by 9 plus 5 equal 0?
I assume the problem is y/9 + 5 = 0. To solve this, you try to get y alone on its own side of the = sign. Right now, there is a (+5) and a (/9) with the y, and we need to get rid of them. You do this by going in the opposite order of PEMDAS (the order of operations). First we will get rid of the (+5). You always get rid of things by doing the opposite (inverse operation). Since it is +, we will subtract 5. Whatever you do to one side of the = sign, you also must do to the other, so we will subtract 5 from both sides. After we do that, we get y/9 = -5. Now, we must get rid of the /9, so we do the opposite of divide, which is multiply. We multiply both sides by 9 and we get y = -45.
"x" stands for any unknown or variable quantity; 3x means 3 times this quantity.
How many 10.5x8in sheets of paper would it take to cover the surface area of earth?
93,977,301,501,084,446.38 if the earth was flat, the earth is 40,000km in circumference
Assuming the use of BODMAS, (5 x 2) + (21 x 4) = 10 + 84 = 94
How do you simplify cos times cot plus sin?
cos*cot + sin = cos*cos/sin + sin
= cos2/sin + sin = (cos2 + sin2)/sin = 1/sin = cosec
What is the anti derivative of e raised to 6?
Well the number e, raised to 6 (e^6) is just a number (a constant), so you integrate a constant times dx gives you that constant times x + C --> x*e^6 + C
