rves) 1. For a certain curve, the point of contact of each tangent to its bisects the part of the tangent terminating on the coordinate axes. Find the equation of the curve. 2. The area bounded by the curve, the 'x-axis, a fired ordin variable ordinate is proportionnl

Elementary Geometry For College Students, 7e
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Chapter9: Surfaces And Solids
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Equation of Rectangular Curves

 

Number 1

rves)
1.
For a certain curve, the point of contact of each tangent to its bisects the
part of the tangent terminating on the coordinate axes. Find the equation of the
curve.
2.
The area bounded by the curve, the 'x-axis, a fixed ordinate, and a
variable ordinate is proportional to the difference between the ordinates. Find the
equation of the curve.
Transcribed Image Text:rves) 1. For a certain curve, the point of contact of each tangent to its bisects the part of the tangent terminating on the coordinate axes. Find the equation of the curve. 2. The area bounded by the curve, the 'x-axis, a fixed ordinate, and a variable ordinate is proportional to the difference between the ordinates. Find the equation of the curve.
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