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12. Suppose that w = x sin yz; x = cost, y = t, z=e Find the rate of change of w with respect

12. Suppose that [ w=x sin y z^{2} ; quad x=cos t, quad y=t^{2}, quad z=e^{t} ] Find the rate of change of ( w ) wit 

12. Suppose that w = x sin yz; x = cost, y = t, z=e Find the rate of change of w with respect to t at t = 0 by using the chain rule, and then check your work by expressing w as a function of t and differentiating.

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