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  3. consider the surface z=f(x,y) = 3x + 5y +1 and the

Consider the surface z=f(x,y) = 3x + 5y +1 and the curve C in the...

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Consider the surface z=f(x,y) = 3x + 5y +1 and the curve C in the xy-plane given parametrically as x= cost and y=sint where Osts2.a. Find z'(t).b. Imagine that you are walking on the surface directly above the curve C in the direction of positive orientation. Find the values of t for which you are walking uphill(that is, z is increasing).a. Find the intermediate derivatives.dz/ax(Type an expression using x and y as the variables.)

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