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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
If x2 plus 6x equals 27 what is the value of x?
x2 +6x = 27
x2 + 6x - 27 = 0
x2 + 9x - 3x - 27 = 0
x(x + 9) - 3(x + 9) =0
(x - 3)(x + 9) = 0
So x can equal 3 or -9.
How do you prove one - tan square x divided by one plus tan square xequal to cos two x?
(1 - tan2x)/(1 + tan2x) = (1 - sin2x/cos2x)/(1 + sin2x/cos2x)
= (cos2x - sin2x)/(cos2x + sin2x)
= (cos2x - sin2x)/1 = (cos2x - sin2x) = cos(2x)
Are the function F of x equals -2over 3 plus 1 and determine the slope explain?
The function that is given has a constant value and therefore, its slope is 0.
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What are the solutions to the equation y equals -x plus 7?
The solution set consists of the infinite number of points that lie on the straight line y = -x + 7 or x + y = 7.
How can you tell if a porabola is opening up or down using ax2 plus bx plus c?
If a is positive, then the parabola opens upwards; if negative, then it opens downwards.
The simplistic solution is as follows:
The component of the force in the horizontal plane is 41.8*cos(25) = 37.9 N.
The distance travelled is pi*18 metres so work done = 37.9*18 = 2142 Joules.
What is the slope of a curve where x equals n to the y power?
if the x equals -1.2 and the y is -4, 4 what is the slope
Largest volume of a cylinder inscribed in a cone of semivertical angle x?
(4/27)*pi*R3*tan(x)
R being the radius of the base of the cone.
X squared plus 2x plus 40 equals x squared-x plus 190 what is the value of x?
x^2+2x+40 = x^2-x+190
Subtract x^2 from both sides
2x+40 = -x+190
Add x to both sides
3x + 40 = 190
Subtract 40 from each side
3x = 150
Divide both sides by 3
x = 50
Solving 2x plus y equals 10 and y equals x-5 subtitution?
2x+x-5 = 10
2x+x = 10+5
3x = 15
x = 5 and y = 0
What is the soultion to the equality of x2 25?
That's not an equality, since it doesn't have an equal sign.
