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- Find the gradient of the following functionsa) F(x,y,z)= x2 + y3 + z4b) F(x,y,z)= ex sin y ln zThe height of certain hill (in feet) is given by: h (x,y) = 10 (2xy-3x2-4y2-18x+28y+12) Where y is the distance in north, x is the distance in east.a) Where is the top of the hill located?b) How high is the hill?c) How steep is the slope (in feet per mile) at a point 1-mile north and 1- mile east, in whatdirection is the slope steepest?The consumption rate of electricity, in kW/h has increased, on average, at 4.5% per year. If it continues to increase at this rate indefinitely, find the number of years before the electric companies will need to double their generating capacity The electric company will need to double their generating capacity about every years. (Do not round until the final answer. Then round to the nearest tenth as needed)which one of the following expressions way by used to correctly find the angle in the drawing