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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 the product of 4 minus 3 and x plus 8?
( 4 - 3 )( x + 8 ) = x + 8
Use the FOIL method
F = 4 * x = 4x
O = 4 * 8 = 32
I = -3 * x = -3x
L = -3 * 8 = -24
4x - 3x + 32 - 24
Next combine like terms
4x - 3x = x
32 - 24 = 8
x + 8
Which is the most difficult math lessons from algebra to calculus?
"most difficult" is a personal thing. What you find most difficult someone else might find easy and also, the other way around.
8x - 8y equals 1 the solution for y is equals to?
8x - 8y = 1
Add 8y to each side:
8x = 8y + 1
Subtract 1 from each side:
8x - 1 = 8y
Divide each side by 8:
y = x - (1/8)
How do you solve 8x plus 5x plus 9 equals 61?
first get the left hand side to only contain x's
this requires you to get rid of the 9 on the left hand side
so minus 9 on both sides of the equal sign
so 8x + 5x + 9 = 61 becomes 8x + 5x +9 -9 = 61 -9 which is 8x + 5x = 52
now add the x's
so 13x = 52
then divide both sides by 13 to find the value of x
x = 4
x2 - 2x + 2 = 0
(x-1)2 - 1 + 2 = 0
(x-1)2 = -1
x-1 = +- i
x = 1+- i
If: x^2+y^2+4x+6y-40 = 0 and x-y =10 or as x = 10+y
Then: (10+y)^2+y^2+4(10+y)+6y-40 = 0
Thus: 100+20y+y^2+y^2+40+4y+6y-40 = 0
Collecting like terms: 2y^2+30y+100 = 0 or as y^2+15y+50 = 0
When factored: (y+5)(y+10) = 0
So: y = -5 or y = -10
By substitution equations intersect at: (0, -10) and (5, -5)
Length of line is the square root of: (5-0)^2 plus (-5--10)^2 = square root of 50
Therefore length of line is: square root of 50 or about 7.071 to three decimal places
4x plus 69 equals 30 plus 5x solve for x?
4x + 69 = 30 + 5x
Separate the variables and constants (subtract 4x from each side):
69 = 30 + x
Subtract 30 from each side (your variable is already a unit) :
39 = x
Why does you put plus c after integration?
When you find an indefinite integral of a function (ie, the integral of a function without integration limits) you are actually finding the antiderivative of that function. In other words, you are finding the function whose derivative is the function 'inside' the integral sign. Recall that the derivative of a constant is zero. The point here is that you add the 'c' to acknowledge the fact that when the derivative of the result of your integration effort is taken to get the original function it could, or would, have been followed by some unknown constant value that disappeared upon differentiation. That constant is denoted by the 'c'.
What is 2x plus 3 takeaway 4 times 2 over 3y subtract 8 equals 1?
It is a non-linear equation in two variables, x and y. It cannot be solved without another independent equation.
Furthermore, the equation, as stated, does not follow the rules of operational hierarchy (BODMAS/BIDMAS/PODMAS). Otherwise ... 4 times 2 over 3y ... which is surrounded by AS should be simplified to 8/3y. The equation needs brackets/parentheses.
Do you divide the height of the hexagon when you are make it in to a trapezoid?
The answer depends on whether or not the hexagon is regular, partly regular or totally irregular. In the last case it will not help.
It also depends on whether you start off with a regular hexagon standing with one vertex above another or standing on one of its sides!
What is the set of solution of x y8 2x 2y16?
Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "equals" etc. Also use ^ to indicate powers (eg x-squared = x^2).
What does a graph look like for the equation 8x - 8 equals 0?
The line 8x-8=0 is the same as x=1.
The graph looks like a vertical line that intersects the x axis at x=1.
What is the Graph x plus y equals 3?
It is the line obtained by joining the following points ----->>> (3,0) on x axis and (0,3) on y axis This line is tilted to 45 degrees from negative x axis.
X - 3y equals -3 and -2x plus 6y equals 12 solution?
x - 3y = -3: multiply by -2 giving -2x + 6y = 6, but -2x + 6y = 12 so we have a problem! Misprint?
What is 1 dimensional in a x y graph?
either the x plane or the y plane by themselves is one dimensional. Also any intersection of the x and y planes as described as sets or by an equation are one dimensional. In order to become three dimensional an intersecting plane, such a "z" plane would have to be added.
Which could be the value of x if 0.6x68 percent?
Unfortunately, the browser used by Answers.com for posting questions is incapable of accepting mathematical symbols. This means that we cannot see the mathematically critical parts of the question. We are, therefore unable to determine what exactly the question is about and so cannot give a proper answer to your question. Please edit your question to include words for symbols and any other relevant detail.
Is calculus hard for people who got an A plus in algebra?
Everyone will be different. It all depends. For example, I thought geometry for 2-D shapes was hard even though I'm good with 3-D shapes. I guess you'll see when you try it out!
All you need to do on these is make the coefficient(number) of either variable the same, usually by multiplication, then add or subtract to eliminate that variable.
Using Y
As the coefficients of Y are the same, just add the equations:
3x - 2y = 11
x + 2y = 9
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4x + 0y = 20
4x = 20 , which means X = 5 and Y =2
Using X
3x - 2y = 11
x + 2y = 9
Multiply the second equation by 3 and subtract.
x + 2y = 9 becomes 3x + 6y = 27, and it is easiest to just subtract the first
3x + 6y = 27
- (3x - 2y = 11)
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0x +8y = 16
8y = 16 so Y = 2 and X = 5
What is the locus of points that satisfies both equations 2x-3y equals 5 and x-2y equals 1?
2x-3y=5 and x-2y=1
2x-3y+2y=5 and x-2y+2y=1
2x-y=5 and x=1
2(1)-y=5
2-y=5
2-y-2=5-2
-y=3
y=-3
(x,y) is (1,-3)
What are the x solutions for 10x 2-6436x 6x2?
Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "equals", "squared", "cubed" etc. Please use "brackets" (or parentheses) because it is impossible to work out whether x plus y squared is x + y2 of (x + y)2.
What is the difference between pre-algebra and algebra 1?
Pre-algebra essentially introduces the concept of the single variable, where one part of a binary operation (addition, subtraction, multiplication, or division) is replaced by a box. The box, in algebra, is replaced by a letter such as x or y, to denote a variable, or a, b, or c to denote constants. For example: X + 5 = 9
Pre-algebra also incorporates fractions, decimals, conversions between them, and the standard mathematical operations. In short, everything you need to build upon the concepts for algebra.
Algebra begins with single variable equations and builds up to systems of equations with multiple variables, quadratic equations, polynomials (equations of degree n), real and irrational numbers, the cartesian coordinate system, and on up to matrix operations involving multiple dimensions. I believe algebra pretty much stops short of Hilbert space, which has an infinite number of dimensions.
ax + by = c is a typical line equation from algebra which, in slope intercept form, is:
y = mx + b. b = the y-intercept, and m=∆y/∆x or (y2 - y1)/(x2 - x1)
ax2 + bx + c = d is a typical quadratic equation.
Polynomials would be of the form axn + bx(n-1) + ... + z = 0.
Factoring polynomials is another important concept from algebra. If you can do long division by hand you have some of the key concepts for factoring already.
Perhaps the most useful concept from algebra is ratios and proportions.
