Name Math 109 – Quiz 7 Section
1. Consider the equation xy2 ? x2y = 6
(a) Use implicit differentiation to determine dyd x (b) Determine the instantaneous rate of change dyd x of the equation at the point (2,?1)
(c) Find the equation of the line tangent to the graph of the equation at the point (2,?1)
Spring 2021 1
Name Math 109 – Quiz 7 Section
2. A spherical balloon is being filled with air (volume) at the constant rate of 2 cm3/sec. How fast is the radius increasing when the radius is 3 cm? (Note: For a sphere, V = 43 ?r
3)
Spring 2021 2
