3. (10 points) Show that the sum of the x- and yinteroepts of any tangent line to the curve +=5is equaltoc. 4. (5 points) A faucet is lling a hemispherical basin of diameter 60 cm with water at a rate of 2 Lit/min. Find the rate at which the water is rising in the basin when it is half full. Hint: The volume of the portion of a. sphere with radius r from the bottom to a height h is given by V = (m2 $113)