Hi, can I have some help with these math questions please?

Find and classify the critical points of f(a) = 10x (11 - x) as local maxima and minima. Arrange critical points in ascending order. (1) critical point is and it is (2) critical point is and it is (3) critical point is and it is Select an option X CL neither local max local minUse a graph below of f(x) = In(6x2 + 1) to estimate the x-values of any critical points and inflection points of f(x). Based on the observations find the x-values of any critical points and inflection points approximately: hs (a) critical point is x = (b) inflection points (in ascending order) are x = and x Next, use derivatives to find the x-values of any critical points and inflection points exactly: (a') critical point is x = (b') inflection points (in ascending order) are x : and xFor the function f(x) = -16x* + 5x2 + 11, find the following: (1) the critical points (in ascending order) are [ ][and: (2) the intervals (in ascending order), where the function is increasing, are given by 0.Q) and DO (3) the intervals (in ascending order), where the function is decreasing, are given by DO) and 0.O (Use -infty to denote - inf; and +inf to denote too )The following table gives values of the differentiable function y = f(a) x 0 1 2 3 4 5 6 7 8 9 10 y 3 5 4 2 1 2 1 - 2 -3 -4 - 7 Estimate the x-values of critical points of f(x) on the interval 0 0. (1) global maximum at t= (2) global minimum at t (Enter none if there is no global maximum or global minimum for this function.)When an electric current passes through two resistors with resistance r and s, connected in parallel, the combined resistance, R, can be calculated from the equation R where R, r and s are positive. Assume that s is constant. Then, (1) in terms of r and S, dR (2) Is R an increasing or decreasing function of r? If we consider the interval a