Consider the closed curve in the xy-plane given by: x+2x+y4 + 4y = 5. a. Show...

    

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Consider the closed curve in the xy-plane given by: x+2x+y4 + 4y = 5. a. Show that dy dx = -(x+1) 2(3+1)* b. Write an equation for the line tangent to the curve at the point (-2, 1). c. Find the coordinates of the two points on the curve where the line tangent to the curve is vertical. d. Is it possible for this curve to have a horizontal tangent at points where it intersects the x-axis? Explain your reasoning. Consider the closed curve in the xy-plane given by: x+2x+y4 + 4y = 5. a. Show that dy dx = -(x+1) 2(3+1)* b. Write an equation for the line tangent to the curve at the point (-2, 1). c. Find the coordinates of the two points on the curve where the line tangent to the curve is vertical. d. Is it possible for this curve to have a horizontal tangent at points where it intersects the x-axis? Explain your reasoning.