Can you help with 27,29,30

27. On what interval(s) is the function f(x) = 124 - 2x2 + 3 concave upward? 28. Find the area under the graph of f(x) = sin(2x) + x3 above the r-axis between x = -2 and x = 2. 29. Consider the function f(x) = = + 1. (a) State the domain of f and the r and y intercepts. (b) State the open intervals where f is increasing and where it is decreasing. (c) State the open intervals where f is concave up and where it is concave down. (d) Sketch the graph of f. n 22 30. Consider the limit lim - noon - 1 ) i=1 n (a) Evaluate the limit directly. Hint: the formula Ci= n(n + 1) 2 might be useful. i=1 (b) Evaluate the limit indirectly by first rewriting it as a definite integral (and then use the fundamental theorem of calculus to evaluate the integral)