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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 solve 2 sin squared x minus sinx minus 1 is equal to 0?
2 sin(x)2 - sin(x) - 1 = 0
Let Y=sin(x) then the equation is 2*Y2 - Y - 1 =0
Delta = (-1 * -1) - 4 * 2 * -1 = 9
Y = (1 + sqrt(9)) / 4 or Y = (1 - sqrt(9)) / 4
Y = 1 or Y = -1/2
Then x = Arcsin(Y) and (in radians) x = Arcsin(1) = Pi/2 +2*k*Pi or x=Arcsin(-1/2) = -Pi/6 + 2*k*Pi
where k is an integer
How will changing the 3 into an 8 in the equation y equals 2x-3 affect the graph?
First, you need to understand that y = 2x - 3 is the slope-intercept form of a line.
Remember from middle/high school algebra that the slope-intercept form of a line is:
y = mx + b
where:
m is the slope of the line
b is the y-intercept of the line
since -8 < -3, the y-intercept moves "down". Since the slope is unchanged, the rest of the line must also move "down".
I will leave the amount that the line moves "down" as an exercise for the reader ;)
The equation is: ln(1+tx)=tx-(h/g)x^2 BTW
The variable c times the variable b simply equals cb. Just as the variable x times the variable y would equal xy, and so on.
7x + 9 = x + 3 First Subtract x from both sides
7x - x + 9 = 3 So 7x - x = 6x
6x + 9 = 3 Next Subtract 9 from both sides
6x = 3 - 9 3 - 9 = -6 Then divde by 6 on both sides
x = -1 -6 divided by 6 = -1
What is the solution set for x2 - 16 equals 0?
I will assume you mean,
X2 - 16 = 0
X2 = 16
take square root each side
X = (+/-) 4
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(-4, 0) and (4, 0)
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I'm going to assume that there's an 'equals' sign ( = ) between the 5 and the 5 .
If that's so, then you have a simple linear equation in 'x', which
you're probably expecting me to solve for you.
2x + 5 = 5x - 4
Subtract 2x from each side of the equation:
5 = 3x - 4
Add 4 to each side:
9 = 3x
Divide each side by 3 :
3 = x
What is forward integration and backward integration?
Forward integration
Backward integration
A business strategy that involves a form of vertical integration whereby activities are expanded to include control of the direct distribution of its productsA form of vertical integration that involves the purchase of suppliers in order to reduce dependency.
What equation represents a line perpendicular to the line whose equation is 2x plus 3y equals 12?
Rearranging the original equation, we get y=-(2/3)x+12. Since 12 is the constant, this is the point that the line of this equation will cut the y-axis if x=0. Therefore, -(2/3) is the gradient and for an equation to produce a parallel line, the gradient must be equal.
Summing up, y=-(2/3)+c (where c equals any real number) would be parallel
Is x equals 3 a linear equation?
Yes it is the equation for a vertical line (parallel to the y-axis), intersecting the x-axis at the point (3,0). There is not a y component in this equation, because at any value of y, x will always equal 3.
What is the solution of 3x plus 7y-c equals?
Solving equations in two unknowns requires two independent equations. Since you have only one equation there is no solution.
Is y-4 equals 0 a linear equation?
yes because linear means straight line and that equation is a perfect horizontal line.
Define maximam and minima of a function?
That refers to the highest and lowest value of a function. A "local maximum" (or local minimum) refers to a value that is higher than any near-by value, for a certain neighborhood.
What is the rule if x is 9 and y is negative 3?
There is no specific rule.
y = -sqrt(x)
y = x - 12
y = -x/3
y = x2 - 84
are all possible.
