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The required points of x where the slope of tangent and secant is equal at boundary points 4 and 9.
Slope is defined as the rate of change or angle at which curve is having inclination or declination.
Since, the curve of 1/2√x defined for interval [4,9]
The curve is of increasing order so the tangent and secant having equal slope only possible at the boundaries of the curve.
Boundary conditions = (4,1) and (9, 1.5)
Equation can be given as,
y = 0.1x + 0.5
Thus, the required points of x where the slope of tangent and secant is equal at boundary points 4 and 9.
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