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What are the similarities between parabola and catenary?
The Catenary and Parabola are different curves that look similar; they are both "U" shaped and symmetrical, increasing infinitely on both sides to a minimum.
What is the maximum or minimum value of y equals x to the power of 2 minus 4x plus 7?
It has an absolute minimum at the point (2,3). It has no maximum but the ends of the graph both approach infinity.
Maximum and minimum values of quadratic formula?
maximum and minimum are both (-b/2a , c - (b^2/4a))
How is a bridge a parabola?
They both have an arc shape.
How do the characteristics and equations of a circle differ from those of a parabola?
In its standard form, the equation of a circle is a quadratic in both variables, x and y, whereas a parabola is quadratic in one (x) and liner in the other (y). A circle is a closed shape and comprises the locus of all points that are equidistant from one given point (the centre). A parabola is an open shape and comprises the locus of all points that are the same distance from a a straight line (the directrix) and a point not on that line (the focus).
What the the vertex of a parabola?
The vertex would be the point where both sides of the parabola meet.
What are the similarities between parabola and catenary?
The Catenary and Parabola are different curves that look similar; they are both "U" shaped and symmetrical, increasing infinitely on both sides to a minimum.
What is the maximum or minimum value of y equals x to the power of 2 minus 4x plus 7?
It has an absolute minimum at the point (2,3). It has no maximum but the ends of the graph both approach infinity.
How can a quadratic function have both a maximum and minimum point?
It can't - unless you analyze the function restricted to a certain interval.
What do crests and troughs have in common?
Crests and troughs are both characteristic features of waves. A crest is the point on a wave with the maximum positive amplitude, while a trough is the point with the maximum negative amplitude. Together, they represent the maximum and minimum points of a wave's oscillation.
Maximum and minimum values of quadratic formula?
maximum and minimum are both (-b/2a , c - (b^2/4a))
What is the directrix of a parabola?
"From the geometric point of view, the given point is the focus of the parabola and the given line is its directrix. It can be shown that the line of symmetry of the parabola is the line perpendicular to the directrix through the focus. The vertex of the parabola is the point of the parabola that is closest to both the focus and directrix."-http://www.personal.kent.edu/~rmuhamma/Algorithms/MyAlgorithms/parabola.htm"A line perpendicular to the axis of symmetry used in the definition of a parabola. A parabola is defined as follows: For a given point, called the focus, and a given line not through the focus, called the directrix, a parabola is the locus, or set of points, such that the distance to the focus equals the distance to the directrix."-http://www.mathwords.com/d/directrix_parabola.htm
How do you find the minimum or maximum of a function and example?
It depends on the function. Some functions, for example any polynomial of odd order, will have no maximum or minimum. Some functions, such as the sine or cosine functions, will have an infinite number of maxima and minima. If a function is differentiable then a turning point can be found by finding the zero of its derivative. This could be a maximum, minimum or a point of inflexion. If the derivative before this zero is negative and after the zero is positive then the point is a minimum. If it goes from positive to negative, the pont is a maximum, and if it has the same sign (either both +ve or both -ve) then it is a point of inflexion. A second derivative can help answer this quicker, but it need not exist. These are all well behaved functions. The task is much more complicated for ill behaved functions. Consider, for example, the difference between consecutive primes. The minimum is clearly 1 (between 2 and 3) but the maximum? Or the number of digits between 1 and 4 in the decimal expansio of pi = 3.14159.... Minimum digit between = 0 (they are consecutive near the start of pi), but maximum?
How is a bridge a parabola?
They both have an arc shape.
What is the maximum value that the graph of ycosx assume?
Both the function "cos x" and the function "sin x" have a maximum value of 1, and a minimum value of -1.
How do you make a piston stop on littlebigplanet?
Just tweak it and make sure both maximum length and minimum length are the same.
Are there any height requirements to become a pilot at the air force academy?
Standing height 64 inches minimum to 77 inches maximum for both pilot and navigator qualification. Sitting height 34 inches minimum (pilot) and 33 inches minimum (navigator) to 40 inches maximum (both), measured while sitting erect, the distance from top of head to chair seat.
