Previous Problem Problem List Next Problem (1 point) Regarding y as the independent variable and x as the dependent vari

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Previous Problem Problem List Next Problem (1 point) Regarding y as the independent variable and x as the dependent variable, find the slope of the tangent line, i.e. find dx/dy since y is the indedendent variable in this case, to the curve Sy + 5x²y² + yx - 3y = 416 at the point (3,2). The slope of the tangent line to the curve at the point (3, 2) is

Previous Problem Problem List Next Problem (1 point) Find an equation of the line tangent to the curve defined by x² + 4xy + y = 6 at the point (1,1). y =

Previous Problem Problem List Next Problem (1 point) Gravel is being dumped from a conveyor belt at a rate of 30 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always the same. How fast is the height of the pile increasing when the pile is 20 feet high? Recall that the volume of a right circular cone with height / and radius of the baser is given by v=tỉnh When the pile is 20 feet high, its height is increasing at feet per minute.