Math Jeopardy $100 $100 $100 $100 $100 $200 $200 $200 $200 $200 $200 $300 $300 $300 $300 $400 $400 $400 $400 $500 $500 $500. Logs and Exponents
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1 This is Chapter 3
2 Math Jeopard Trig Derivatives Chain Rule Inverse Trig Implicit Different. Logs and Exponents ALL MIXED UP $100 $100 $100 $100 $100 $100 $200 $200 $200 $200 $200 $200 $300 $300 $300 $300 $300 $300 $400 $400 $400 $400 $400 $400 $500 $500 $500 $500 $500 $500
3 Cat1Help Text Object. Math Tpe Object Double Click to Edit
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9 $100 =csc(3x) Find '.
10 $100 =csc(3x) ' 3csc(3 x)cot(3 x) Find '.
11 $200 What is the derivative of 5cos( x) sec(2 x)?
12 $200 What is the derivative of 5cos( x) sec(2 x) ' 5sin( x) 2sec(2 x)tan(2 x)
13 $300 sin( t) A particle is at st () t for an time, t>0 seconds. What is its velocit at t = /2? (NO CALCULATOR)
14 $300 A particle is at sin( t) st () t for an time, t>0 seconds. What is its velocit at t = /2? v( ) 2 4 2
15 $400 cos(4 x) 3x 2 '?. Simplif our answer.
16 $400 cos(4 x) 2 3x ' 4xsin(4 x) 2cos(4 x) 3x 3
17 $500 If tan(3 x) find the equation of the normal line to this curve at the point x= 4
18 $500 If find the equation of the normal line to this curve at the point x= 4 tan(3 x) 1 1 ( x ) ( 24) x 6 24
19 $100 (10 x 4) 5 '?
20 $100 (10 x 4) 5 50(10 x 4) 4 '
21 $ x 4 '?
22 $200 ' 6 x(9x 2 4) 2/3
23 Find $300 '. 3 sin (4 t)
24 $300 ' 12sin 2 (4 t)cos(4 t)
25 $ v 1 v 3 '?
26 $400 ' 9(1 2 v) ( v 1) 4 2
27 $500 Given the curve: (4x 3) 5 ( x 2) Find the equation of the line tangent at x = 1.
28 $500 Given the curve: 3 61( x 1) 5 (4x 3) ( x 2) Find the equation of the line tangent to x = 1. 61x 58
29 $100 1 sin (5 x) '?
30 $100 ' 1 sin (5 x) x 2
31 $200 (arctan x) 2 '?
32 $200 (arctan x) 2 2tan 1 x ' 1 x 2
33 $300 Find the derivative of: x cot 1 ( ) cot 1 ( x) 5
34 $300 ' x cot ( ) cot ( x) x 1 x
35 $400 '? 1 t ln( t 2 4) tan 1 ( ) 2 2 Simplif as much as possible.
36 $400 2t 1 ' t ln( t 4) tan ( ) 2 2 t 2 4
37 $500 2 x 1(csc x) 1 '?
38 $ x 1(csc x) ' 1 csc 1 x x x 1
39 $100 4x Find d dx
40 $ x 4 25 d x dx
41 $200 d dx? when 2 2 cos( ) 3x
42 $200 cos( ) 3x 2 2 d 6x dx 2 sin( )
43 $ x x 1 d dx
44 $300 x x x d dx 3 2 x
45 4x $ x d dx? 5 Hint: Cross Multipl, then Take the derivative
46 $400 4x d dx? x 5 8x x 2
47 $500 When 5x 4/5 10 6/5 15 Find the slope of the Tangent line at x=1.
48 $500 When 4/5 6/5 5x Find the slope of d dx 4x 12 1/5 1/5 the tangent line at x=1. So slope = -1/3
49 $100 d dx ln(8 x)?
50 $100 d dx ln(8 x)? 1 x
51 $200 d dx cos( e 2x )?
52 $200 d dx 2x cos( e ) 2x 2x 2e sin(e )
53 $300 2 (5 x) x e ln(2x 1) d dx?
54 $300 2 (5 x) x e x d dx ln(2 1) 2 2 (5 x) (5 x) 5x e 2xe 2x 1
55 $400 e e x x 2 1 Find the derivative.
56 $400 e e x x 2 1 d 3e x x 2 dx (e 1)
57 $500 If Find ' x ln x
58 $500 x ln x ln x d 2ln x(x ) dx x
59 $100 e d dx?
60 $100 d dx e 0!! (it s a constant)
61 $ cos(5x 3 x) d dx?
62 $ cos(5x 3 x) d dx 2 sin(5x 3 x)(10x 3) 2 2 cos (5x 3 x)
63 $300 d dx sin 1 (cos x)?
64 $300 d dx 1 sin (cos x)? sin( x) 2 1 cos ( x) 1!
65 $ x tan( x) e x '(0)?
66 $400 x tan( x) e '(0)? 2 2x 2 2x ' 2x sec x 2e '(0) 1
67 $500 A particle is following the Path of x Find its velocit at (3,1)
68 $500 A particle is following the path of 2 3 x Find its velocit at (3,1) -3m/sec.
69 Final Jeopard Create Question Here
70 Final Jeopard Answer
71 Final Jeopard Nice Tr.
72 Sound and other objects sn0065a Slot machines J Space Laser J Space Laser 2 J Large Explosion J Space Door Do Not Delete! Contains objects for game.
73 Design Credits PowerPoint Slide Show created b Rand Watt Green Hope High School Morrisville, NC Adapted from Slide Show b Carol Nata
74 Revision Histor Version 4 June 2003 Changed points to dollars Added link to credits screen b clicking on Math Jeopard on game board Changed problems and answers to generic place holders Minor color and sound changes on opening game screen Version 5 September 2003 Removed macros and visual basic code Rearranged back to problem and back to game board buttons on answer pages
75 Testing Area
76 Help for Teachers To create a new set of categories and problems: Update topics on title screen (slide 2) Rename categor headers on question board (slide 3) Change categor help slides (immediatel following question board) Modif questions and answers (answers immediatel follow each question slide) Cut and Paste Dail Doubles Tips: Questions and answers are MathTpe objects. It is easier if ou keep it that wa. Even for text problems. To put cop of question on the answer slide, cop and paste the MathTpe object from the question slide then resize. The EXIT graphic on the game board will exit WITHOUT saving anthing. It is intended for student use when plaing. Make sure ou test our game to make sure everthing is linked and working correctl. When plaing the intro screen of the game ou can click in the lower right corner at an time to skip the intro and go directl to the question board. Do NOT: Change an hperlinks Tpe <ctrl><home> to return to 1 st slide
This is. BC Calculus Review
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