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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
Solve x2 plus 18x plus 4 equals 0?
This quadratic equation which will have two solutions can be solved by completing the square or by using the quadratic equation formula.
Completing the square:
x2+18x+4 = 0
(x+9)2+4 = 0
(x+9)2+4-81 = 0
(x+9)2 = 77
x+9 = + or - the square root of 77
x = -9 + or - the square root of 77
If you're not too sure about the procedure of completing the square your maths tutor should be familiar with it.
Factor the trinomial below Enter each factor as a polynomial in descending orderx2 plus 18x plus 45?
x2 + 18x + 45 = (x + 15)(x + 3).
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
