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11. Determine the value of the limit and the function as x approaches the given point. 11.1 f(x) = 2x, x 3, and f(3) = -3 as x - 3 11.2 f(x) = (x + 1) / (x1/3 + 1) as x- -1 11.3 f(x) = V(9x2 + 5) / 2x as x - +00 11.4 f(x) = 15 - x| / (x - 5) as x - 5 11.5 f(x) = 3x + 4, x S 1, and f(x) = 6 - X, X > 1, as x - 1 Group 9 ... 12. Answer the following. 12.1 Using the difference quotient, i.e., limit (f(x + h) - f(x))/h, as h -> 0, determine the derivative for f(x) = 1/(x + 1), x # -1 11.2 Without using the calculator's differentiation facility, evaluate df(x)/dx, given that f(x) = [(x3 - 1)/(x(x - 1))]1/3 at x = 2 13. Answer the following. 13.1 Using the difference quotient, i.e., limit (f(x + h) - f(x))/h, as h -> 0, determine the derivative for f(x) = V(x + 1), x 2 -1 13.2 Without using the calculator's differentiation facility, evaluate du(x)/dx given that u(v) = v3 + v2 - 1 and v(x) = (x + 4)3 at x = -1 Group 10 ... 14. Given the following information, determine the equation of the tangent line to the function at x = 1. The function, f(x), is a parabola df(x=2) / dx = 12 . . . df(x=-2) /dx = -4 f(x=-1) = -1 15. Without using the calculator, if f(x) = x3 and g(x) = 3x - 2, determine the equation of the tangent line common to the two functions. Group 11 ... 16. Due to water erosion, evaluate the rate of change this year in a rectangular plot's area given the following. The plot's length is twice its width The plot's diagonal is decreasing at the rate of -.1 feet/year . The plot's perimeter is 300 feet