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Test 2 Key

# Test 2 Key - 1 MATHISSO-S Test 2B Name{16 Show all work in...

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Unformatted text preview: 1' - . MATHISSO-S Test 2B 10/02/07 _ Name {16% Show all work in the space provided. If more room is needed, use the back oflhe page. Please be neat. . 1. Find the derivative of each function. Do NOT simpllﬁ. [48 points] f(x)=360(1—Jc2)——i1~~--+~ex3 4 ’ 5’ 4—)} ’ Mm - 1 2. Find the second deﬁvative of G(x) : 3 4 . ' + x Gm: (3 mi)" 1 , v9“ _ G ‘ (it) -: a C3+MT> M3 2 "ix-3 [3+ 45%) W 2 “ix? ca (WWW) + (MIWW 1) [10 points] 3. 21) Find 6% using implicit differentiation for Jae-x2"1 +312 = 6 {12 points] Kit/K6,)“ 3* vQﬂA—i‘ (51} “Li ‘Q‘f/M .{— 4%i%% Z O _Q Kit} 0i A 2 _ '0 anti we 5 in 1%; _.. . X 79 H x 9‘ * ‘i‘ A? i (g b) Find the equation of the tangent Iine o the curve at the point (2, 2). 2 L~J ,_ _ NA :"1‘3'1'6/ ”i 2% 453—;{J 2. 3/3(7Q—-5ZJ MW :3 , Mac 5‘ 4. Find the ﬁrst and second derivative of x4 + y4 z 8 . [12 points] Simply? as much as possible. Show ALL work. Circle ﬁnal answers 1+ 3+ 1+ ”552?? :0 £1 3&3 9Q) ”t 3) (3_%_&% >6 f; (£3: 43,: 5% in 4c M l {Mix : iﬁjj 5%; ﬁg” M 2 4x 2 5. Find the value(s) of x Where the curve y = has a horizontal tangent. Show all work. x — x — 2 [8 points} _ ‘i L§ 2 6. A particle moving along a line has position 3(1) = t3 — 612 élSt Where S is in centimeters and l is time in seconds. [10 points] 3) Find the velocity function. 19) Find the acceleration function. 3. n ' ,. ' chbt ~l1taet§ aﬂzﬁ ‘14 c) Find the time(s) when the velocity is zero. d) Find the acceleration at the times found in c). (be -—- iii #13 = O :5 (theft— e5?) = o 3 (Jet-5*) U344} :0 «5:5: "I ﬂew, v c» 0 am 7:. w— rat _,_.. (gm/52 Bonus.- Find the formula f " (x)for f (x)=x'2. {6 points} \ f‘txl="9:>53 “:5 I 1:; a\ \$2 £HEX)= '9w’3‘X: 5 mysi ti) : . ‘Q‘HDC) : “K-h-“i \$9 :3 ... 414- \$21} ...
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Test 2 Key - 1 MATHISSO-S Test 2B Name{16 Show all work in...

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