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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 long wave approximation?
Well, are you saying goodbye or hello? Waving goodbye usually lasts longer than waving hello to someone.
Using the ordering rules of BODMAS:
Brackets
Of
Division
Multiplication
Addition
Subtraction
= 4 x 2 + 1
= 8 + 1
= 9
What is the answer to the problem x divided by 0.4 equals 2x plus 1.2?
x/0.4 = 2x + 1.2
x/0.4 = (2x + 1.2)/1 (cross multiply)
x = 0.4(2x + 1.2)
x = 0.8x + 0.48 (subtract 0.8x to both sides)
0.2x = 0.48 (divide by 0.2x to both sides)
x = 2.4
5x plus 2 equals -18 what is x?
-4
5x + 2 = -18
0x + -2 = -2
----------------
5x + 0 = -20
5x / 5 = -20/5
x = -4
How do you work out what x means in theis equation 5x plus 7 equals 84-6x?
you say:
5x+7=84-6x
5x+6x+7=84-6x+6x
11x+7=84
11x+7-7=84-7
11x=77
x=77/11
x=7
How do you solve 4x squared minus 21 equals negative 11x?
The Quadratic Formula gives the value of x in equations of the form ax2 + bx + c.
In this instance a = 4, b = 11 and c = -21.
((-b +/-(sqrt(b2 - 4ac))/2a
= (-11 +/- sqrt (121 + 336))/ 8
= (-11 +/- 21.4)/8
x = 1.3 or 4.05
Y equals -5x plus 5 and 3x plus 2y equals 3 solve this equation using substitution?
y = -5x+5 (Equation 1)
3x+2y = 3 (Equation 2)
you see the the first equation is equal to y. just put that into the second equation.
3x + 2(-5x+5) = 3 (now do algebra and find x)
3x - 10x + 10 = 3
-7x = -7
-x = -1
x = 1
Now put x into one of the equations to find y
y = -5(1) + 5 (Equation 1)
y = -5 + 5
y = 0
Now put both the x and y into both equations to see if it is truee.
0 = -5(1) + 5 (Equation 1)
0 = -5 + 5
0 = 0 CORRECT
3(1) + 2(0) = 3 (Equation 2)
3 + 0 = 3
3 = 3 CORRECT
Therefore your answers are
x = 1
y = 0
Centre = (4, -3)
Radius2 = (4 + 2)2 + (-3 + 7)2 = 36 + 16 = 52
Equation = (x - 4)2 + (y + 3)2 = 52
or x2 - 8x + y2 + 6x = 27
-1
What is the solutions to the equation x2 plus x - 1 0?
x2 + x - 1 = 0
Using the quadratic formula this gives us:
x = (-1 + or - (-12 - (4 * 1 * -1))1/2) / 2 * 1
x = (-1 + or - (1 - - 4)1/2) / 2
x = (-1 + or - 51/2) / 2
x = 0.618 and -1.618 (Both given to 3 decimal places only)
Note: x1/2 means the square root of x.
26x = 156
Divide both sides of the equation by 26 to find the value of x:
x = 6
What is the standard form of x-y plus 6 equals 0?
Standard form would be x and y on one side of the equal sign with no coefficients.
x-y+6=0 in standard form would be: x-y=-6.
What do infinitely many solutions mean?
it means you can never run out of possible solutions - there are an infinite number of them.
What form of linear equation is ax plus by equals c?
This is called standard form. "a" must be postive, "a, b, and c" must be whole numbers. There can not be common factors other than 1 for "a, b, and c."
