x+2, - 2

(c) Where is f continuous? Where is f differentiable? Where is g differentiable? (42) A man standing on a building is watching a bicycle through a telescope as it approaches the building directly below. If the telescope is 310 ft above ground level and if the bicycle is approaching the building at I()ft/sec, at what rate is the angle, A, of the telescope, changing when the bicycle is 100 ft from the building? (43) Evaluate the integral: f(t)dt where f (:r) (41) Let g(x) 2 (a) Find an expression for g@). (b) Sketch the graphs of f and g. 1 1, 4-3x, 1 < x (b) (c) (d) cos x sin sec x 1 + tan x 0 -2 dy 2 a