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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 reduce fractions with whole numbers?
first you divide the numerator by whatever number and the denominator by the same number and that is your answer.
5x2+7x = 12
5x2+7x-12 = 0
(5x+12)(x-1) = 0
x = -12/5 or x = 1
How many bbls would a 40 x 10 x 8 mud pit hold?
You do not specify the units of your pit, so I will assume feet. 40' x 10' x 8' is 3200 cubic feet. Multiplying by 123 (cubic inches per cubic foot) gives you 5,529,600 cubic inches. Dividing by 231 (cubic inches per US gallon) gives you 23938 US gallons. Dividing by 42 (US gallons per bbl) gives you 570 bbls.
All of this is without required temperature or pressure conversion, which would be required if you were actually dealing with oil, because oil's density changes with pressure and temperature.
Usually if there is only one x and one y,
you can isolate the y on one side, and you might be left with mx+b on the other.
How do solve 7x plus y equals 8 in y equals mx plus b form?
7x + y = 8
Subtract 7x from each side of the equation:
y = -7x + 8
What are the solution sets 4s2 plus 12s plus 9 equals 0?
The solutions are: s = -3/2 and s = -3/2 they have equal roots
How do you solve x2 plus 5x - 25 equals 0?
Use the quadratic equation formula:
x2 + 5x - 25 = 0
(x + 8.090169944).(x - 3.090169944) = 0
Therefore: x = - 8.090169944 or x = 3.090169944
Check that the answer is correct by multiplying out the brackets.
x1 = [-b + sqrt(b2 - 4ac)]/2a
x2 = [-b - sqrt(b2 - 4ac)]/2a
a = 1
b = 5
c = -25
We get the same answers as above.
1 plus x plus 2x equals 20then x equals?
1 + x + 2x = 20
So 1 + 3x = 20 so that 3x = 19
then x = 19/3 or 61/3
What effect does b have on the y equals sinbx for different value oh b?
In the case where y=sin(bx) b, for lack of a better term, squishes or stretches the graph along the x-axis. In other words the values for y will stay between -1 and 1, but that amount of 'cycles' of the sine wave in an interval will increase if b>1 and decrease if 0<b<1. For example one cycle for sin(x) will take 360 degrees or 2pi radians, but sin(2x) will do 2 complete cycles in the same space, and sin(0.5x) will only do half a cycle.
In the case where b is negative, the effects are exactly the same, the only thing that changes is that the value of y is multiplied by -1 i.e. sin(bx)=-sin(-bx). This is different from cosine where the sign of b makes no difference, cos(bx)=cos(-bx).
Perpendicular to 2x plus 3y equals 8?
Perpendicular to 2x - 3y = 8 through the point ( 2, 1 )
(Perpendicular means the slopes are negative inverses of each other)
3x+2y = 8
