a. Find a curve y = x] 1.Irith the following properties: 2 dx ii]: its graph passes Through the point {0.1}, and has a horizontal tangent there. b. How many curves like this are there? How do you know? E) d2 a. Find all the antideriyatiye of :l_ Use (31 as your arbitrary constant. dx d Find y =f[x}, the antideriyatiye of d:' Use (31 and (32 as your arbitrary constants. y= 1r3'+1'.3.|:r+'l)2 Substitute (0,1) into the equation for y to find C2. C7 = Since y = f(x) has a horizontal tangent at (0,1), the value of dy dx at that point is