Application of Derivatives
be a curve defined by y=ea+bx2˙
The curve C
passes through the point P(1,1)
and the slope of the tangent at P
Then the value of 2a−3b
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Find the angle between the curves x2−3y2=a2andC2:xy3=c
Separate the intervals of monotonocity for the function
Separate the intervals of monotonocity of the function:
A regular square based pyramid is inscribed in a sphere of given radius R
so that all vertices of the pyramid belong to the sphere. Find the greatest value of the volume of the pyramid.
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defined on [1,3] satisfies Rolles theorem for c=323+1
then find the value of aandb
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Find the values of p