Question: E10.1 Suppose that we have a function 3 dened by z(:r:,y) = 3:2 + my3. In addition, suppose that x and y are restricted to

E10.1 Suppose that we have a function 3 dened by z(:r:,y) = 3:2 + my3. In addition, suppose that x and y are restricted to points that move around the plane by following a circle of radius 2 centered at the origin that is parameterized by :1:(t) : 2cos t, y(t) : 2 sint (a) Use the Chain Rule to nd the resulting instantaneous rate of change %. (b) Substitute $03 for a: and y(t) for y in the rule for z to write z in terms of t and calculate :37: directly. Compare to the result of part(a)

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