MAC-2311 Midterm: MAC 2311 Test 3
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Mac 2311, sections 09 & 10, spring 2005 (dr m-g) You are allowed to use a ti-30xa/ti-36x (or any four-function calculator). Include enough comments or diagrams to convince me that you thor- oughly understand. Do not write on this question paper, which must be turned in at the end of. The test (but not stapled to your solutions: a continuous function f is de ned on [0, 6] by f (x) = (x3 6x2 + 9x + 2 x2 10x + 30 if if. Find all in ection points. (d) find both global extrema and all global extremizers of f on [0, 6]. [4: functions g and g are de ned on [0, 2] by g(t) = g(t) = ( 3t. 1 t 2. (a) verify that g is continuous on [0, 2] As+1 a xs dx = bs+1 s+1 (b) assuming thatr b calculus, nd an explicit formula for g(t) for all t [0, 2].
