Calculus Help

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 πr

3)

Spring 2021 2