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Midterm2 solB

# Midterm2 solB - MATH 1210 MIDTERM II VERSION B November 8...

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Unformatted text preview: MATH 1210 - MIDTERM II VERSION B November 8, 2006 [10p] Question 1. Check if the function 3 HHS—m) 1“: _ 5' f(:r-)= 5—:t . 25—112 1f33>5 is continuous at a," = 5. [10p] Question 2. Find the derivative of the function: fix] = (1055(13 _ 4) + \$38713 [10p] Question 3. Find the slope of the tangent line to the graph at the point (-1.1) for the following function given implicitly: (1‘2 + W = 43:23: .72 [10p] Question 4. Let f(;I') = L :— . (8.) Find the critical points of f.- (b) Find the intervals of increase and decrease. (c) Find the relative extrema. [10p] Question 5. Two runners are on trails that intersect at right angles, each runner moving away from the intersection. runner A going east at 15 km per hour and runner B going north at 18 km per hour. At what rate is the distance between them increasing when runner A is 4 km from the intersection and runner B is 3 km from the intersection ‘? [10p] BONUS QUESTION. Let f = :32 — 43:. Use the intermediate Value Theorem to show there is a point in the interval [2,4] such that ﬁx] = —3. if. 1210 '- Midkmhl ________ _ Salukensqersien E W “an” ‘98) 2.. QCM'I 3-— : i 3; __L : _ __ >645 x~=5~ Jofw) 340 leg? ___mr, ___ _ S’X -; Jig lig, FT)“ iii—é : , , , , V “5* ate-5* as —x2 0 x—rs* MXQ-g) 13h __ ___m... -. {361:4 {0/} _— __”:ﬁffenlﬁfe. 913 £31914 9 5° Lenln‘wm oﬁ i=5 __._.._._..._... -_. .__ . . . . . .....-.. ,_.... w; : \$00.; 5 (:69 (XEHU-I-Sinix3%))-i%ﬁ‘)+ 3xzé'3+.2€[email protected]"5(-35'ﬂ_' MM: fb'ﬁggcegﬁ9¥a_.i~nphd’r\7 ‘- atx‘+7z)L2X+277’)= 373?} _______.______\$ub.zh}ul¢ X.=">.7‘=i and AeQue 1% 7’“ . 7 2_(_.|_+0i-2 +27’)= ~8 + 37’ , __ _ ,8 +8y':-8+H7‘ => IVE: whiz—0‘ __ ,nﬁ—. V, 7,.“___. H Fm; 23-.» ' f :7. (Arm-:9 ﬁﬁiLQiIgElg Siﬁn , , .. _. _ __ “m -2. O '2. M W, . .. — 0* i # __ - _ __.. .. / A ; , imam-3mg on (-‘3‘3; - "2—). “"1 (2 I00) __ ___..___._d9_LT.E ' . en“: .Cr'ZIO) (End (012-) __ _ _ ._ _Lglr_§mfh£m§o}o\enwe Rove “3’1 ‘1 MRX‘ . _ . __. x29. 0. Hwy BBWEE9§5ﬁ0H . ___#_ : , H 4 :5 __:;'ces=__x:er;é: ___..’E"--g—?:)—mq'—8* """"’ ' ' ' _ ' '7 _' "d 9 \$tme :Egeﬁtngw .L ﬂare. 10.99. 1:9,, ,.___,7,,__ﬁ_ V _ __F______. __ﬁ_.._4 M__ﬁ _ﬁ _. _ v K M w __i f - f __rr _r._4 __+..____, ._,f _._ __ # .__#77____._J _ f, _ __, ___. __.__r—___ﬁ w # .._.n, I _._.__,i.___.__.i ...
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