Let F(x)=∫ sin(t^2) dt from 0 to x for 0≤x≤3. a) Use the Trapezoidal Rule with four equal subdivisions of the closed interval [0, 2] to approximate F(2). b) On what interval or intervals is F increasing? Justify your answer. c) If the average rate of change of F on the closed interval [0, 3] is k, find ∫ sin(t^2) dt from 0 to 3 in terms of k.

Someone answer this asap for the function f(x) and g(x) are both quadratic functions. f(x) = x² + 2x + 5 g(x) = x² + 2x - 1 which statement best describes the graph of g(x) compared to the graph of f(x)? a. the graph of g(x) is the graph of f(x) shifted down 1 units. b. the graph of g(x) is the graph of f(x) shifted down 6 units. c. the graph of g(x) is the graph of f(x) shifted to the right 1 unit. d. the graph of g(x) is the graph of f(x) shifted tothe right 6 units.