Jeopardy Limits Limits with Trig Slope of a Curve Continuity Potpourri $100 $200 $300 $400 $500 $100...
-
Upload
suzan-cooper -
Category
Documents
-
view
215 -
download
0
Transcript of Jeopardy Limits Limits with Trig Slope of a Curve Continuity Potpourri $100 $200 $300 $400 $500 $100...
![Page 1: Jeopardy Limits Limits with Trig Slope of a Curve Continuity Potpourri $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ecb5503460f94bd9537/html5/thumbnails/1.jpg)
JeopardyJeopardyLimits Limits with
Trig Slope of a
Curve
ContinuityPotpourri
$100
$200
$300
$400
$500
$100 $100$100 $100
$200 $200 $200 $200
$300 $300 $300 $300
$400 $400 $400 $400
$500 $500 $500 $500
![Page 2: Jeopardy Limits Limits with Trig Slope of a Curve Continuity Potpourri $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ecb5503460f94bd9537/html5/thumbnails/2.jpg)
$ 100
Click my picture to see the answer
Evaluate using any method:
![Page 3: Jeopardy Limits Limits with Trig Slope of a Curve Continuity Potpourri $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ecb5503460f94bd9537/html5/thumbnails/3.jpg)
Click my picture to return to the Jeopardy Game Board
$ 100
![Page 4: Jeopardy Limits Limits with Trig Slope of a Curve Continuity Potpourri $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ecb5503460f94bd9537/html5/thumbnails/4.jpg)
$ 200
Click my picture to see the answer
Evaluate using any method:
![Page 5: Jeopardy Limits Limits with Trig Slope of a Curve Continuity Potpourri $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ecb5503460f94bd9537/html5/thumbnails/5.jpg)
$ 200
Click my picture to return to the Jeopardy Game Board
![Page 6: Jeopardy Limits Limits with Trig Slope of a Curve Continuity Potpourri $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ecb5503460f94bd9537/html5/thumbnails/6.jpg)
$ 300
Click my picture to see the answer
Evaluate algebraically:
![Page 7: Jeopardy Limits Limits with Trig Slope of a Curve Continuity Potpourri $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ecb5503460f94bd9537/html5/thumbnails/7.jpg)
$ 300
Click my picture to return to the Jeopardy Game Board
-1/2
![Page 8: Jeopardy Limits Limits with Trig Slope of a Curve Continuity Potpourri $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ecb5503460f94bd9537/html5/thumbnails/8.jpg)
$ 400
Click my picture to see the answer
Evaluate algebraically:
![Page 9: Jeopardy Limits Limits with Trig Slope of a Curve Continuity Potpourri $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ecb5503460f94bd9537/html5/thumbnails/9.jpg)
$ 400
Click my picture to return to the Jeopardy Game Board
3/4
![Page 10: Jeopardy Limits Limits with Trig Slope of a Curve Continuity Potpourri $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ecb5503460f94bd9537/html5/thumbnails/10.jpg)
$ 500
Click my picture to see the answer
Evaluate algebraically:
![Page 11: Jeopardy Limits Limits with Trig Slope of a Curve Continuity Potpourri $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ecb5503460f94bd9537/html5/thumbnails/11.jpg)
$ 500
Click my picture to return to the Jeopardy Game Board
-1/4
![Page 12: Jeopardy Limits Limits with Trig Slope of a Curve Continuity Potpourri $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ecb5503460f94bd9537/html5/thumbnails/12.jpg)
$ 100
Click my picture to see the answer
Evaluate algebraically:
![Page 13: Jeopardy Limits Limits with Trig Slope of a Curve Continuity Potpourri $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ecb5503460f94bd9537/html5/thumbnails/13.jpg)
$ 100
Click my picture to return to the Jeopardy Game Board
![Page 14: Jeopardy Limits Limits with Trig Slope of a Curve Continuity Potpourri $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ecb5503460f94bd9537/html5/thumbnails/14.jpg)
$ 200
Click my picture to see the answer
Evaluate algebraically:
![Page 15: Jeopardy Limits Limits with Trig Slope of a Curve Continuity Potpourri $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ecb5503460f94bd9537/html5/thumbnails/15.jpg)
$ 200
Click my picture to return to the Jeopardy Game Board
-1
![Page 16: Jeopardy Limits Limits with Trig Slope of a Curve Continuity Potpourri $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ecb5503460f94bd9537/html5/thumbnails/16.jpg)
$ 300
Click my picture to see the answer
Evaluate algebraically:
![Page 17: Jeopardy Limits Limits with Trig Slope of a Curve Continuity Potpourri $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ecb5503460f94bd9537/html5/thumbnails/17.jpg)
$ 300
Click my picture to return to the Jeopardy Game Board
-1
![Page 18: Jeopardy Limits Limits with Trig Slope of a Curve Continuity Potpourri $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ecb5503460f94bd9537/html5/thumbnails/18.jpg)
$ 400
Click my picture to see the answer
Evaluate algebraically:
![Page 19: Jeopardy Limits Limits with Trig Slope of a Curve Continuity Potpourri $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ecb5503460f94bd9537/html5/thumbnails/19.jpg)
$ 400
Click my picture to return to the Jeopardy Game Board
5/2
![Page 20: Jeopardy Limits Limits with Trig Slope of a Curve Continuity Potpourri $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ecb5503460f94bd9537/html5/thumbnails/20.jpg)
$ 500
Click my picture to see the answer
Evaluate algebraically:
![Page 21: Jeopardy Limits Limits with Trig Slope of a Curve Continuity Potpourri $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ecb5503460f94bd9537/html5/thumbnails/21.jpg)
$ 500
Click my picture to return to the Jeopardy Game Board
2
![Page 22: Jeopardy Limits Limits with Trig Slope of a Curve Continuity Potpourri $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ecb5503460f94bd9537/html5/thumbnails/22.jpg)
$ 100
Click my picture to see the answer
Identify the points of discontinuity and the type
![Page 23: Jeopardy Limits Limits with Trig Slope of a Curve Continuity Potpourri $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ecb5503460f94bd9537/html5/thumbnails/23.jpg)
$ 100
Click my picture to return to the Jeopardy Game Board
X = 0, removableX = 5, non-removable
![Page 24: Jeopardy Limits Limits with Trig Slope of a Curve Continuity Potpourri $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ecb5503460f94bd9537/html5/thumbnails/24.jpg)
$ 200
Click my picture to see the answer
Determine all points of discontinuity.
![Page 25: Jeopardy Limits Limits with Trig Slope of a Curve Continuity Potpourri $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ecb5503460f94bd9537/html5/thumbnails/25.jpg)
$ 200
Click my picture to return to the Jeopardy Game Board
π/3 + 2πn5π/3 + 2πn
![Page 26: Jeopardy Limits Limits with Trig Slope of a Curve Continuity Potpourri $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ecb5503460f94bd9537/html5/thumbnails/26.jpg)
$ 300
Click my picture to see the answer
Rewrite the following function (if possible) to be continuous for all x. If not possible, explain why.
![Page 27: Jeopardy Limits Limits with Trig Slope of a Curve Continuity Potpourri $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ecb5503460f94bd9537/html5/thumbnails/27.jpg)
$ 300
Click my picture to return to the Jeopardy Game Board
Not possible, x = -2 is a
non-removable point of discontinuity
![Page 28: Jeopardy Limits Limits with Trig Slope of a Curve Continuity Potpourri $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ecb5503460f94bd9537/html5/thumbnails/28.jpg)
Draw a picture of a graph that is not
continuous at x = 2 because f(2) does
not equal the limit as x approaches 2
of f(x)
$ 400
Click my picture to see the answer
![Page 29: Jeopardy Limits Limits with Trig Slope of a Curve Continuity Potpourri $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ecb5503460f94bd9537/html5/thumbnails/29.jpg)
$ 400
Click my picture to return to the Jeopardy Game Board
Draw a graph that has a hole at x = 2 and an extra point above or below the hole.
![Page 30: Jeopardy Limits Limits with Trig Slope of a Curve Continuity Potpourri $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ecb5503460f94bd9537/html5/thumbnails/30.jpg)
$ 500
Click my picture to see the answer
Find the value of k that will make the following function
continuous for all x
![Page 31: Jeopardy Limits Limits with Trig Slope of a Curve Continuity Potpourri $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ecb5503460f94bd9537/html5/thumbnails/31.jpg)
k = 4
$ 500
Click my picture to return to the Jeopardy Game Board
![Page 32: Jeopardy Limits Limits with Trig Slope of a Curve Continuity Potpourri $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ecb5503460f94bd9537/html5/thumbnails/32.jpg)
$ 100
Click my picture to see the answer
Write the equation of the secant line
that connects x = -2 and x = 5 on the function f(x) =
x2
in slope-intercept form.
![Page 33: Jeopardy Limits Limits with Trig Slope of a Curve Continuity Potpourri $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ecb5503460f94bd9537/html5/thumbnails/33.jpg)
$ 100
Click my picture to return to the Jeopardy Game Board
![Page 34: Jeopardy Limits Limits with Trig Slope of a Curve Continuity Potpourri $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ecb5503460f94bd9537/html5/thumbnails/34.jpg)
$ 200
Click my picture to see the answer
If f(x) = 6x2, find the slope of the curve at x = -3
![Page 35: Jeopardy Limits Limits with Trig Slope of a Curve Continuity Potpourri $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ecb5503460f94bd9537/html5/thumbnails/35.jpg)
$ 200
Click my picture to return to the Jeopardy Game Board
![Page 36: Jeopardy Limits Limits with Trig Slope of a Curve Continuity Potpourri $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ecb5503460f94bd9537/html5/thumbnails/36.jpg)
$ 300
Click my picture to see the answer
Write the equation of the line that is tangent to f(x) = 5x
– 2at x = 3.
![Page 37: Jeopardy Limits Limits with Trig Slope of a Curve Continuity Potpourri $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ecb5503460f94bd9537/html5/thumbnails/37.jpg)
$ 300
Click my picture to return to the Jeopardy Game Board
![Page 38: Jeopardy Limits Limits with Trig Slope of a Curve Continuity Potpourri $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ecb5503460f94bd9537/html5/thumbnails/38.jpg)
$ 400
Click my picture to see the answer
Write the equation of the line that is
normal to
at x = 1
![Page 39: Jeopardy Limits Limits with Trig Slope of a Curve Continuity Potpourri $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ecb5503460f94bd9537/html5/thumbnails/39.jpg)
$ 400
Click my picture to return to the Jeopardy Game Board
![Page 40: Jeopardy Limits Limits with Trig Slope of a Curve Continuity Potpourri $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ecb5503460f94bd9537/html5/thumbnails/40.jpg)
$ 500
Click my picture to see the answer
Find the point on the function f(x) = x2 – 6x + 8 where
the tangent line is horizontal (if possible).
![Page 41: Jeopardy Limits Limits with Trig Slope of a Curve Continuity Potpourri $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ecb5503460f94bd9537/html5/thumbnails/41.jpg)
$ 500
Click my picture to return to the Jeopardy Game Board
(3, -1)
![Page 42: Jeopardy Limits Limits with Trig Slope of a Curve Continuity Potpourri $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ecb5503460f94bd9537/html5/thumbnails/42.jpg)
Find the average rate of change of f(x) = x3 – 3x over the interval [2, 10]
$ 100
Click my picture to see the answer
![Page 43: Jeopardy Limits Limits with Trig Slope of a Curve Continuity Potpourri $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ecb5503460f94bd9537/html5/thumbnails/43.jpg)
$ 100
Click my picture to return to the Jeopardy Game Board
![Page 44: Jeopardy Limits Limits with Trig Slope of a Curve Continuity Potpourri $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ecb5503460f94bd9537/html5/thumbnails/44.jpg)
Find the equation of the horizontal asymptote for the following function (if possible) using
proper limit notation.
$ 200
Click my picture to see the answer
![Page 45: Jeopardy Limits Limits with Trig Slope of a Curve Continuity Potpourri $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ecb5503460f94bd9537/html5/thumbnails/45.jpg)
y = 8
(because the limit as x approaches
infinity equals 8)
$ 200
Click my picture to return to the Jeopardy Game Board
![Page 46: Jeopardy Limits Limits with Trig Slope of a Curve Continuity Potpourri $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ecb5503460f94bd9537/html5/thumbnails/46.jpg)
$ 300
Click my picture to see the answer
If , what do you know about the graph of f(x)
![Page 47: Jeopardy Limits Limits with Trig Slope of a Curve Continuity Potpourri $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ecb5503460f94bd9537/html5/thumbnails/47.jpg)
$ 300
Click my picture to return to the Jeopardy Game Board
There is a vertical asymptote at x = 4.
![Page 48: Jeopardy Limits Limits with Trig Slope of a Curve Continuity Potpourri $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ecb5503460f94bd9537/html5/thumbnails/48.jpg)
$ 400
Click my picture to see the answer
Find the slope of the curve y = 5x2 – 3x + 2 at x = a.
![Page 49: Jeopardy Limits Limits with Trig Slope of a Curve Continuity Potpourri $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ecb5503460f94bd9537/html5/thumbnails/49.jpg)
10a - 3
$ 400
Click my picture to return to the Jeopardy Game Board
![Page 50: Jeopardy Limits Limits with Trig Slope of a Curve Continuity Potpourri $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ecb5503460f94bd9537/html5/thumbnails/50.jpg)
$ 500
Click my picture to see the answer
At t seconds after lift-off, the height of a rocket is 3t2 ft. What is the instantaneous rate of change of the height of the rocket at 10 seconds after lift-off?
![Page 51: Jeopardy Limits Limits with Trig Slope of a Curve Continuity Potpourri $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ecb5503460f94bd9537/html5/thumbnails/51.jpg)
$ 500
Click my picture to return to the Jeopardy Game Board
60 ft/sec