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MTH 31 210 (33) Circle the correct answer. Let h(x) = f(g(sin 4x)). Then f'(x) = (a) f'(g(sin 4x)) . g' (sin 4x) . cos 4x . 4 (b) f'(g'(sin 4x) . sin 4x . 4 (c) f'(g(sin 4x)) + f (g' (sin 4x)) "()= (d) (d) f'(9(sin 4x)) - f(o' (sin 4x) ) a ( 2 ) 9 (sin 4x)2 (e) None of the aboveWor veil (34) Circle the correct answer. An experimenter measures the radius of a circle to be 10 cm, with a maximum error of 3/10 cm. The maximum error in his calculation of the AREA is (a) dA = 37cm (b) dA = 4ncm2 ()(c) dA = 5TCM2 (his grub all of ami jerron odd to goldsups aids bath for) (d) dA = 67cm? (e) None of the above (s) besob s lo joule testw 10 ."-s' = (3)) Jol (09) - x jabo = ()( to () ) notiamixoige insail ed burl (s) (35) Determine the following limits: ()soo sismixorgqs of alli deU (d) (a) lim (cos x) 72 I-+ 0+ (b) lim x tan(=) I -+ 00 our bars soday We moisteoq eff e ail fatuoshod adgisita a ni gnivon ai obiting A (89) (36) Find the derivative of F(x) = cos(Vt)dt.0 2 1:1 (3) ,anoilpaul moli879190 (37) A rectangle with base on the x-axis has upper vertices on the parabola y = 4 - Ja2. Find the maximum perimeter. (38) Circle the correct answer. The absolute maximum of the function f(x) = 23 - 3x + 1 on [0,3] occurs when x = qu gotbenge stolfreq ods at andW (d) (a) -1 lergothi oil ofanlevel (es) (b)0 1 Ah8: get 18 398 (c) 1 = (s)0 :noitonut letgoini ofdi to evilsvob sill burt (08) (d) 3 boililgmien (e) None of the above nodamnbrongge baooce of adam of body M a molwell ball (18) Theorem. (39) Let f(x) = =, x E [1,3]. Find all numbers c that satisfy the conclusion of the Mean Value