1.A line segment extends horizontally to the left from the point (-1, -1). Another line segment extends horizontally to the right from the point (1, 1). Find a curve of the form y = ax^5 + bx^3 + x that connects the points (-1, -1) and (1, 1) so that the slope and curvature of the curve are zero at the endpoints. 2. This is from chapter 12 of calculus in my book. This chapter is about vector valued function. 3. I tried plugging in values for the constant a, b, and c. Which I tried a = -1, b = 1, c = 1. and this works. It give an equation that connects the endpoints, but it does not give me zero for the curvature of the curve. Here is my work: the formula for curvature that I used: K = |y"| / [1 + (y')^(2)]^(3/2) y' = -5x^(4) + 3x^(2) + 1 y" = -20x^(3) + 6x If I plug in x = 1 (because of the point (1,1)) I get: y' = -1 y" = 14 Plugging in those values into the formula gives me 14. I need some help/advice.