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1) What is the x-coordinate of the point Pon the parabola y= 1 - x^2 for 0 < x <= 1 where the triangle that is enclosed by the tangent line at P and the coordinate axes has the smallest area possible?
2) Does someone exist before you meet them, or do they become existent when you meet them?
3)Is there a real truth? or is there only "truth"?
4)What number would yield a sum to be as small as possible, and as large as possible in the interval [1/2, 3/2], where the sum is itself and its reciprocal?
5)If l is the length of a diagonal of a rectangle whose sides have lengths x and y, and assume that x and y vary with time. How are dl/dt, dx/dt, and dy/dt related? and If x increases at a constant rate of 1/2 ft/sec and y decreases at a constant rate of 1/4 ft/sec, how fast is the size of the diagonal changing when x = 3 ft and y = 4ft? Is the diagonal increasing or decreasing at that instant?
__________________
Long messages do not equal aggravation of any sort,
rather they reflect nothing more than a response of insight
that should always be read in a matter-of-fact tone.
"Those womyn that seek equality with men, lack determination."
"I beseech you, in the bowels of Christ, think it possible you may be wrong."
-Cromwell
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12-01-2002 11:18 PM
