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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 answer to 23 X 3 X 7 equals 13294?
The answer to 23 X 3 X 7 is 483
Hope i helped you with that answer
3x plus 5y equals 1 2x plus 3y equals 1?
I assume you are trying to find the values of both x and y.
3x+5y=1
2x+3y=1
Since both equal 1 we can set them equal to each other.
3x+5y=2x+3y
Now, we want to get all the x's on one side and all the y's on the other side.
Subtract 2x from both sides and subtract 5y from both sides to isolate x's and y's
This will result in x=(-2y)
Since we now know X in terms of Y we can plug the value into one of the original equations.
Lets use 2x+3y=1. x=(-2y) So, 2(-2y)+3y=1 or -4y+3y=1 y=-1
Plugging in the value of y to the other equations will give us the value of x.
2x+3(-1)=1 so (2x-3=1) Solving this results in x=2
To double check lets put both values into the first equation to see if it works.
3(2)+5(-1)=1 6-5=1.
It works so we are now certain that y=(-1) and x=2
Let f x equals x2 plus 5x plus 3 Find f 2?
If I understand this right...
f(x) = x2 + 5x + 2
f(x) is a function, in this case a function of x. Using this function, you can say...
f(g) = g2 + 5g + 2
f(pi) = pi2 + 5pi + 2
All we're doing is substituting whatever's in the brackets on the other side. Thus...
f(2) = 22 + 5*2 + 2
How do you differentiate and find the tangent?
When you differentiate a function, you find the slope of the function. The slope is also known as the tangent.
The slope of a line, given one point, and a second point relative to the first point, but with x different, is given as delta y over delta x.
Differentiation is simply taking the limit of the slope, i.e. where delta x approaches zero.
What is the answer to 4 x plus 4 y equals - 8?
Since there are two variables, there are an infinite number of solutions (combinations of x and y). The graph will be a straight line. You may want to solve for "y" or for "x" to get a better idea.
What shape is the graph for y equals 3x2 look like?
It is a parabola emanating from the origin. Plot some +/- points
when X = 1; Y =1 (+/-)
when X = 2; Y = 12 (+/-)
when X = 3; Y = 27 (+/-)
same for when X = -1,-2,-3 etc
What is 9X squared -18X equals to negative 3?
9x2 - 18x = -3
x2 - 2x = -1/3
x2 - 2x + 1 = 1 - 1/3
(x - 1)2 = 2/3
x - 1 = ±√2/3
x = 1 ± (1/3)√6)
5x + 17 = 7x - 123
123 + 17 = 7x - 5x
140 = 2x
x = 140 ÷ 2
x = 70
For f x 3x plus 1 and g x x 2 -6 find fog 4 For f x 3x plus 1 and g x x 2 -6 find fog 4?
It is not possible to solve the above equation because it is not clear.
How do you evaluate graphs of proportional relationships?
They are straight lines through the origin and their gradient is the constant of proportionality.
