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6 1) Find the general antiderivative for f(x) = 1+ x2 . 2) Find the particular antiderivative for g(x) = 4 sin x given G(x) = 5 3) Find the general solution to y' = sec~ x. 4) Find the particular solution to y' = sec x tan x given y(0) = 2. 5) If f '(z) = ez and f (0) = -3, find f (z)6) What is the general antiderivative of h(t) = 4' ? 7) Sketch a slope field for the differential equation dx dy = x2 - 2x at the indicated points. 2 X -2 03] Sketch a slope eld for the differential equation fay: 2" at the indicated paints. 9) A slope field is given for a particular differential equation. Sketch the solution that passes through the point (0, -1). X10) A slope field is given for a particular differential equation. Sketch the solution that passes through the origin. X 0 -1