1) estimate the value of F' At the given point using a different quotient with h=.001. Compare each answer with the value contained by zooming in on the graph of F at the point. f(x)=x^-2 at x=1 2) Find a formula for f'. Check your answer for reasonableness by comparing graphs of f and f'. f(x)=x^3-^3 square root x f(x)=4^5 square root x^3 + 5/ ^3 square root x^4 3) find an algebraic equation for f' start by rewriting the expression for f in a simpler form f(x)=(x-1/x)^2 4) Explain why lim x~ 0^+ square root x=0 but lim x~ 0 square root x does not exist 5) If a fixed quantity of gas in a container is maintained at a constant temperature T, the pressure P is related to the volume V by the formula (P+n^2 a/V^2) (V-nb)=nRT, where a, b, n and R are positive constants. a) Find dP/dV. (Hint start by writing P as a function of V) b) For an ideal gas a=0 b=0. Does your result in part (a) predict that the pressure of an ideal gas decreases if the volume increases