Assessment as Learning Chapter 5 MCV4U 1. Simplify. Identify the local extrema of the function f(x)=x2ex. a) In (e2x) b) In (er) + In (e*) () eln(x+1) 2. Determine the derivative with respect to x for 6. A 100-mg sample of thorium-233 (Th-233) each function. is placed into a nuclear reactor. After 10 min, the sample has decayed to 73 mg. Use the a) g(x) = 4x b) f (x) = 11* dy = (=) equation N(t) = Noe-2to answer the following d) N(x) = -3ex e) b(x) = ex f) y=xx questions. a) Determine the disintegration constant A for Th-233. 3. Determine the slope of the graph of y = _ ex at b) Determine the half-life of Th-233. x =4. 4. Determine the derivative with respect to x for each function. a) y= e"*sin.x b) y= ecos.x