Consider the surface z= f(x,y) = V3-6x - 3y and the oriented curve C in the...

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Consider the surface z= f(x,y) = V3-6x - 3y and the oriented curve C in the xy-plane given parametrically as x = e-4", y = e - 4t - 4t where 1 t2, In 3. 8 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 oft for which you are walking uphill (that is, z is increasing). Consider the suriace z = T(X,y) = 5x +y +1 and the curve C in the xy-plane given parametrically as Cos t and y= siht Where Usts2x. a. Find z'(t). dz %3D (Туре dz dy (Туре %3D dx dt (Туре dy dt find z'(t) = (solve the above as well) 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). You are walking uphill when 0 <t < and when <t< Show transcribed image text Consider the surface z= f(x,y) = V3-6x - 3y and the oriented curve C in the xy-plane given parametrically as x = e-4", y = e - 4t - 4t where 1 t2, In 3. 8 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 oft for which you are walking uphill (that is, z is increasing). Consider the suriace z = T(X,y) = 5x +y +1 and the curve C in the xy-plane given parametrically as Cos t and y= siht Where Usts2x. a. Find z'(t). dz %3D (Туре dz dy (Туре %3D dx dt (Туре dy dt find z'(t) = (solve the above as well) 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). You are walking uphill when 0 <t < and when <t< Show transcribed image text

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