Application of Derivatives
Find the minimum value of (x1−x2)2+(20x12−(17−x2)(x2−13))2 where x1∈R+,x2∈(13,17).
Show that the height of the cylinder of maximum volume that can be inscribed in a sphere of radius R is 32R
A spherical iron ball 10cm in radius is coated with a layer of ice of uniform thickness that melts at a rate of 50cm3/m∈ . When the thickness of ice is 5cm, then find the rate at which the thickness of ice decreases.
Determine p such that the length of the such-tangent and sub-normal is equal for the curve y=epx+px at the point (0,1)˙