Question: Chain Rule: One Independent VariableIn Exercises 1-6,(a) express dwdt as a function of t, both by using the Chain Rule and by expressing w in
Chain Rule: One Independent VariableIn Exercises 1-6,(a) express dwdt as a function of t, both by using the Chain Rule and by expressing w in terms of t and differentiating directly with respect to t. Then (b) evaluate dwdt at the given value of t.w=x2y2,x=cost,y=sint;,t=w=x2y2,x=costsint,y=cost-sint;t=0w=xzyz,x=cos2t,y=sin2t,z=1t;,t=3w=ln(x2y2z2),x=cost,y=sint,z=4t2; t=3
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