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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 graph y equals 5x plus 3?
y = 5x + 3
To graph this line, we need to find two points of it on a graph and draw a straight edge using them. Two easy-to-find points are the y- and x-intercepts. The y-intercept of any linear function in the form
y = mx + b
is simply b. Is this case, b = 3. So a point must be (0,3). For the x-intercept, set y = 0 and solve for x:
0 = 5x + 3
-3 = 5x
-3/5 = x.
So a second point (-3/5,0).
What are the solutions to 9x2 plus 7x equals 2?
9x2 + 7x = 2
9x2 + 7x - 2 = 0
9x2 + 9x - 2x - 2 = 0
9x(x + 1) - 2(x + 1) = 0
(9x - 2)(x + 1) = 0
x ∈ {-1, 2/9}
How do you solve 2x plus 2 equals 161-4x?
2x+2=161-4x
6x+2=161
6x=159
x=26.5
See that? Add 4x to the other side, Subtract 2 from the other side, divide 159 by 6.
Done.
50 x 4 =__________________________________200 hope this helps x..x.. 50 x 4 =__________________________________200 hope this helps x..x..
16x2 + 8x + 1 = 0 : This factorises to (4x + 1)(4x + 1) = 0
When 4x + 1 = 0 then 4x = -1 : x = -1/4.
What is 3x plus 2 equals 2x plus 8?
3x+2=2x+8
x=6
3x+2 = 2x + 8; first subtract 2x from both sides
x+2=8; then subtract 2 from both sides
x=6
What is x squared minus 4 divided by 4x plus 12?
(x2 - 4)/4x = 12; x ≠ 0
x2 - 4 = 48x
x2 - 48x = 4
x2 - 48x + 242= 4 + 242
(x - 24)2 = 4 + 576
x - 24 = ±√580
x = 24 ± 2√145
What is the y-intercept of the line 2x plus 4y equals 8?
2x+4y=8
4y=-2x+8
y=-2/4x+2
M=-2/4
B=2
B=Y Intercept
Why should you clear fractions when solving liner equations and inequalities?
it often simplifies arithmetic
Is the function y x - 5 a straight line?
Probably yes. Unfortunately, though, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to be certain.
How do you graph x plus y equals -5?
Put x = 0. The equation is then y = 0 + 5 or y = 5
Mark the point (0,5).
Put y = 0. The equation then becomes 0 = x + 5 or x = -5
Mark the point (-5, 0)
Joint the two points and extend the line in both directions.
How much does a 2 inch x 4 inch x 8 foot weigh?
It depends on the material as well as the force of gravity.
If: y = x-4 and y = x2+y2 = 8 then 2x2-8x+8 = 0 and the 3 ways of proof are:
1 Plot the given values on a graph and the line will touch the curve at one point
2 The discriminant of b2-4ac of 2x2-8x+8 must equal 0
3 Solving the equation gives x = 2 or x = 2 meaning the line is tangent to the curve
