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curves

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The area of a region bounded by two curves 2009-01-07
Rogerson pose la question :
Find the area, S, enclosed by the given curve(s) and the given line.
y = x^2 - x - 1, y = x+2

Harley Weston lui répond.
The area enclosed by a curve and the x-axis 2009-01-04
Rogerson pose la question :
Find the area, S, enclosed by the curve y = -x^2 + 6x - 5 and the x-axis in the interval 0≤x≤4.
Harley Weston lui répond.
The area bounded by 3 curves 2008-04-13
Sabahat pose la question :
Hi, I have enclosed a diagram.
The diagram shows the curve y=(2x-5)4. The point P has co-ordinates (4,81) and the tangent to the curve at P meets the x-axis at Q.

Find the area of the region (shaded in the diagram) enclosed between the curve, PQ and the x-axis . (Please note that the equation y is read as y=2x -5 whole raise to power 4.)

Stephen La Rocque lui répond.
Parameters 2006-09-15
Chase pose la question :
What is the meaning of the word "parameters" when used in reference to Algebra.
Penny Nom lui répond.
An epicycloid 2006-04-10
Sharon pose la question :
What is the name of the curve formed by a point on the circumference of a circle that rolls on the outside of a fixed circle? This curve is used in the study of gears.
Stephen La Rocque and Penny Nom lui répond.
Intersecting a line and a curve 2004-01-29
Senthil pose la question :
between line and curve how can i find intersection point? could you write me the formula and explanation also sir.
Penny Nom lui répond.
Asymptotes 2001-11-09
Frank pose la question :

given the function:

f(x) = (x2) / (x-1)

the correct answer to the limit of f(x) as x approaches infinity is:

y = x+1

all math references point to this answer and the method they all use is long division of x-1 into x2

however if one were to multiply both the numerator and denominator by 1/x and then take the limit, one gets:

y=x

how can the descrepency between the two answers be explained?


Chris Fisher and Penny Nom lui répond.
Area between curves 2001-06-13
Phil pose la question :

question 1

find the area bound by the curves y = x2 + 2x + 3 and y = 2x + 4

question 2

Find the volume generated by rotating the curve x2 + y2 = 9 about the x-axis

Harley Weston lui répond.
The area between two curves 2001-05-08
Esther pose la question :
Find the area of the region enclosed by the graphs of y = x3-6x and y = -2x between their points of intersection.
Harley Weston lui répond.
Length of a line 1999-10-10
Dagmara Sarudi pose la question :
My question has to do with the length of a diagonal. This problem came up when I thought about the shortest distance between two points, for example walking from one point to another in my neighborhood. I can choose a zig zag route and assuming the blocks I walk are exactly the same length, it shouldn't matter what route I took, the distance I travel should still be the same when I reached my goal. If, on the other hand I could travel in a diagonal line, the distance would be shorter. But what if, in my zig zag motion, the sections get so small the route approaches a diagonal. Shouldn't it be that each separate section added together equals the value of the two original sides? Or would it suddenly equal the value of the diagonal (which, of course was shorter than the two sides added together)?
What gives?


Chris Fisher and Harley Weston lui répond.

Slopes of curved lines 1999-06-09
Stephen Ehrler pose la question :
When one plots the graphs of y=2x, y=3x, y=xx When each of these graphs pass through point (0,1) do they have the same slope? I know they are different lines but is it possable that they have the same slope at point (0,1).
Harley Weston lui répond.
 
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