X A certain province widely cultivates maize crops during the dry season. The average weight (in...

 

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X A certain province widely cultivates maize crops during the dry season. The average weight (in tons) of the harvested crops is modelled by h(x, y, z) = 240+ y²ln(√x − 2) — 402, where x is the average amount of rainfall, y is the amount of nitrogen in the soil, and z is the number of plants infected by several vector-borne viruses. a. What is the total average weight of the harvested maize crops at the end of the planting season if y 2, x = 16, and z = 4 - e? (1 point) (1 point) (2 points) 2. If w (6 points) 3. Use Lagrange multipliers to solve for the dimensions of a closed right circular cylindrical can with smallest surface area whose volume is 27 in ³. (5 points) - b. Compute for h(4,2,0). Justify your result. c. Find the domain of the function h. In(4xy) z2 sin(2yz - 3), x = ln(t), y = 4e² and 2 = cos(³-1). Find dw. dt X A certain province widely cultivates maize crops during the dry season. The average weight (in tons) of the harvested crops is modelled by h(x, y, z) = 240+ y²ln(√x − 2) — 402, where x is the average amount of rainfall, y is the amount of nitrogen in the soil, and z is the number of plants infected by several vector-borne viruses. a. What is the total average weight of the harvested maize crops at the end of the planting season if y 2, x = 16, and z = 4 - e? (1 point) (1 point) (2 points) 2. If w (6 points) 3. Use Lagrange multipliers to solve for the dimensions of a closed right circular cylindrical can with smallest surface area whose volume is 27 in ³. (5 points) - b. Compute for h(4,2,0). Justify your result. c. Find the domain of the function h. In(4xy) z2 sin(2yz - 3), x = ln(t), y = 4e² and 2 = cos(³-1). Find dw. dt