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Presentation transcript:

$100 $400 $300 $200 $400 $200 $100$100 $400 $200$200 $500$500 $300 $200 $500 $100 $300 $100 $300 $500 $300 $400$400 $500

Tangents

Veolcity

Limits & Rationalizing

More Limits

Continuity

Velocity Continuity $100 $300 $300 $300 $300 $200 $400 $400 $400 $400 $500 $Tangents Limits & Rationalizing More Limits

CATEGORY 1 - $100 Calculate the slope of the tangent to each curve at the given point or value of x. f (x) = x 2 + 3x - 5, (-3, -5)

CATEGORY 1 - $200 Calculate the slope of the tangent to each curve at the given point or value of x. y = 4, (6, 1) x-2

CATEGORY 1 - $300 Calculate the equation of the tangent to each curve at the given point or value of x.

CATEGORY 1 - $400 Find the coordinates of the point on the curve f (x)= 3x 2 - 4x where the tangent is parallel to the line y=8x

CATEGORY 1 - $500 Show that, at the points of intersection of the quadratic functions y= x 2 and y= 0.5- x 2 the tangents to the functions are perpendicular.

CATEGORY 2 - $100 The function describes s(t) = 6t 2 + 6t the distance (in kilometres) that a car has travelled after a time (in hours), for 0 <= t <=6. find the velocity when t=2.

CATEGORY 2 - $200 Consider the function f(t) = 7t t where t is measured in seconds and f(t) is measured in metres. Now, find the instantaneous velocity when t=1.

CATEGORY 2 - $300

CATEGORY 2 - $400

CATEGORY 2 - $500 A manufacturer of basketballs finds that the profit from the sale of x basketballs per week is given by the function P (x) =180x-2x 2, where P is measured in dollars. What is the rate of change of profit between the time of selling 20 basketballs and 60 basketballs?

CATEGORY 3 - $100 Rationalize each denominator. a) b)

CATEGORY 3 - $200

CATEGORY 3 - $300 Evaluate the limit. If the limit does not exist, explain why.

CATEGORY 3 - $400 Find the indicated limit, if it exists.

CATEGORY 3 - $500

CATEGORY 4 - $100 Evaluate the following limits

CATEGORY 4 - $200 Evaluate the following limits

CATEGORY 4 - $300 Evaluate the following limits

CATEGORY 4 - $400 Evaluate the following limits

CATEGORY 4 - $500

CATEGORY 5 - $100 Determine all values of x for which each function is continuous.

CATEGORY 5 - $200 Find the value(s) of x at which the following functions are discontinuous, and state the type of discontinuity.

CATEGORY 5 - $300 Find the value(s) of x at which the following functions are discontinuous, and state the type of discontinuity.

CATEGORY 5 - $400

CATEGORY 5 - $500

$ Answer CATEGORY 1 - $100 a)-3

$ Answer CATEGORY 1 - $200 -9

$ Answer CATEGORY 1 - $300 Y=1/6 x +1/6

$ Answer CATEGORY 1 - $400 (2, 4)

$ Answer CATEGORY 1 - $500

$ Answer CATEGORY 2 - $ km/h

$ Answer CATEGORY 2 - $ m/s

$ Answer CATEGORY 2 - $ m/s

$ Answer CATEGORY 2 - $ m/s

$ Answer CATEGORY 2 - $500 $20/basketball

$ Answer CATEGORY 3 - $100

$ Answer CATEGORY 3 - $200 a. 2 b. 2 c. -1 d. DNE e. 1

$ Answer CATEGORY 3 - $300 a. 90 b. DNE c. 1

$ Answer CATEGORY 3 - $400 DNE

$ CATEGORY 3 - $500 Answer m=1, b=-1/3

$ CATEGORY 4 - $100 Answer 2√5 5

$ Answer CATEGORY 4 - $200 6

$ Answer 0 CATEGORY 4 - $300

$ Answer 0 CATEGORY 4 - $400

$ Answer CATEGORY 4 - $500

$ Answer CATEGORY 5 - $100 a. all real numbers b. x >= 4 and x ≠ 0

$ Answer CATEGORY 5 - $200 VA: x = 4 Infinite discontinuity

$ Answer CATEGORY 5 - $300 x = 4, x =-4 Open Hole discontinuity x =-1 Jump discontinuity

$ Answer CATEGORY 5 - $400 k = 2

$ Answer CATEGORY 5 - $500 a =1, b=0

FINAL CATEGORY $

INSERT FINAL QUESTION (ANSWER) HERE $

WHAT OR WHO IS THE FINAL ANSWER? FINAL CATEGORY $

END OF GAME Daily Doubles and usage notes follow...

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Contestant 1 Contestant 2 Contestant 3 $ $ $

JEOPARDY! Slide Show Setup The font for the question & answer slides is “Enchanted;” a copy of this font in located in the “REAL Jeopardy Template” folder or included in the “jeopardy_pc.zip” file. (This font will need to be installed in the C:/WINDOWS/FONTS folder of the computer running the show.) In order to keep all of the sounds and fonts together, copy the entire “REAL Jeopardy Template” folder or “jeopardy_pc.zip” file. To change the categories: –1. Go to the “Edit”menu and choose “Replace…” –2. In the Find box, type CATEGORY X (X being 1 through 5) (all caps). –3. In the Replace box, type the category in all caps (for example, PRESIDENTS). –4. Click Replace All… To change the dollar values (for example to create Double Jeopardy): –1. Go to the “Edit” menu and choose “Replace…” –2. In the Find box, type $X (the dollar value you want to change). –3. In the Replace box, type the new dollar value (with $). –4. Click Replace All...

JEOPARDY! Slide Show Setup continued To set up the Daily Double: –1. Choose which dollar value(s) to set as Daily Double (normally, Jeopardy has one Daily Double, and Double Jeopardy has two). –2. Go to the Game Board slide (Slide 8), right click once on the dollar value for the appropriate question, choose Hyperlink, and choose Edit Hyperlink. –3. In the Edit Hyperlink window, go to “Named location in file” and click “Browse…” –4. In the Hyperlink to Slide window, scroll down to the appropriate slide; Slides 64 and 65 are regular Daily Doubles, Slide 66 is an Audio Daily Double, Slide 67 is a Video Daily Double. Click “OK.” –5. Go to the Daily Double slide just linked to, and right click once on the answer arrow at the bottom right, choose Hyperlink, and choose Edit Hyperlink. –6. In the Action Settings window, make sure the Hyperlink button (to the left of “Hyperlink”) is selected, and in the select box underneath choose “Slide…” –7. In the Hyperlink to Slide window, scroll down to the appropriate question slide (the original slide number of the question). NOTE: Using the Audio and Video Daily Doubles requires adding audio or video/picture clips to the question slides. If you are not familiar with doing this in PowerPoint, do not use those Daily Doubles.

Running the JEOPARDY! Slide Show On the game board with the categories on top (Slide 8), click on the desired dollar value. (The first game board is used only to blink in the dollar values like the show.) The question slide will pop up; the slides are timed with an eight-second timer. At the end of the timer, an alarm will chime. ICONS: –? Go to the answer screen. –House Go back to the game board. –Right Arrow (on Daily Doubles) Go to the question screen. –Right Arrow w/ Bar (on Game Board) Go to the Final Jeopardy category. –Turned-up Arrow Reload question screen after incorrect guess. –$ Go to the Scoreboard slide. –Left Arrow (on Scoreboard) Go to the previous slide.