Need help ASAP. Please provide correct answers for all of them. I will rate very positive.

3. [-/1 Points] DETAILS TANAPMATH7 12.2.022. Find the first partial derivatives of the function. 4uvw g(u, V, W) = U2 + v2 + w2 gy = 9w Need Help? Read It5. [-11 Points] DETAILS TANAPMATH7 12.2.032. Evaluate the first partial derivatives of the function at the given point. f(X. Y) = 96X MW): (0. 6) Need Help? 7. [-/1 Points] DETAILS TANAPMATH7 12.2.042. Find the second-order partial derivatives of the function. Show that the mixed partial derivatives f and fare equal. f ( x, y) = In(2 + x2y2) Xx fyy S fxy S fyx = Need Help? Read It8. [-/1 Points] DETAILS TANAPMATH7 12.2.048. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Revenue Functions The total weekly revenue (in dollars) of Country Workshop associated with manufacturing and selling their rolltop desks is given by the function R(x, y) = -0.2x2 - 0.25y2 - 0.2xy + 200x + 160y where x denotes the number of finished units and y denotes the number of unfinished units manufactured and sold each week. Compute OR/Ox and OR/dy when x = 340 and y = 230. ap -(340, 230) = ax ap ay -(340, 230) = Interpret your results. At sales levels of 340 finished and 230 unfinished units, revenue is increasing by $ per week per unit increase in finished pieces, and at the same sales levels, revenue is decreasing by per week per unit increase in unfinished pieces. Need Help? Read It9. [-/1 Points] DETAILS TANAPMATH7 12.2.052. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Surface Area of a Human Body The formula S = 0.007184W0.425/0.725 gives the surface area S of a human body (in square meters) in terms of its weight W (in kilograms) and its height H (in centimeters). Compute - as and when W = 90 kg and H = 200 cm. (Round aw OH your answers to five decimal places.) as -(90, 200) = aw as OH -(90, 200) = Interpret your results. (Round your answers to five decimal places.) At a weight of 90 kg and a height of 200 cm, surface area increases at a rate of square meters per 1 kg weight. And, at the same weight and height surface area is increasing at a rate of square meters per 1 cm increase in height. Need Help? Read It Watch It Submit Answer10. [-/1 Points] DETAILS TANAPMATH7 12.2.055. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Engine Efficiency The efficiency of an internal combustion engine is given by E = 1 -- V )0.5 where V and v are the respective maximum and minimum volumes of air in each cylinder. (a) Show that aE/aV > 0. aE av = 0.5 1 _ V) -0.5 a V ) (which is greater than 0) Interpret your result. For constant v, an increase in V ---Select--- the engine efficiency. increases (b) Show that aE/av