Transcript Jeopardy

Jeopardy
Limits
Rate of Δ
Graphs
Position
Potpourri
$100
$100
$100
$100
$100
$200
$200
$200
$200
$200
$300
$300
$300
$300
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$400
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$400
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$500
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$500
Final Jeopardy
Limits - $100
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The limit as x approaches 0 of f(x)=3x/x by limit
def.
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What is 3?
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This question teaches the basics of defining of a
limit as x approaches 0 due to the multiplicative
property of association because 3x/x is equal to
3(x/x) which equals 3.
Limits - $200
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The limit as x approaches 3 of the function f(x)
= 5/(x-3)
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What is DNE?
Limits - $300
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The limit as x approaches 9 of (1/x – 1/9)/(x-9)
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What is -1/81?
Limits - $400
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The limit as h approaches 0 of the function
((1+h)1/2 – 1)/h.
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What is 1/2?
Limits - $500
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The limit as x approaches 2 of the function f(x)
= (abs(x-2))/(x-2)
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What is DNE?
Rate of Δ
- $100
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Given point A and point B of a continuous function, with
point A at (0,3) and point B at (7,14), this quantity
represents the average rate of change over the interval
from point A to point B

What is 11/7?
Rate of Δ
- $200
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Using linear approximation, this quantity
represents the value when x=3.2 of the function
f(x)=x5
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What is 362?
Rate of Δ
- $300
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Given point A and point B of a continuous
function, with point A at (4,-3) and point B at
(6,0), this integer, representing an x-value, must
exist over the function

What is 5?
Rate of Δ
- $400
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An open box exists having a square base and
surface area of 108 square inches. This quantity
represents the dimensions of such box with
maximum volume.
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What is 6X6X3?
Rate of Δ
- $500
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The desks in Mr. Farrar’s class are arranged in a rectangular figure
with all desks equal height. From the front to back of the class, the
length of the space occupied by the desks is 30 ft. Every day, the
space occupied by the desks widens by 3 ft. When the width of the
area is 48 ft, this quantity represents how fast the area is changing.
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What is 90 square feet per day?
Graphs - $100
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The second derivative is positive between these
intervals
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What is (a,b) and (c,d)?
Graphs - $200
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Sketch a graph where f’’(x) is always positive
and f’(x) goes from positive to negative @ x=-3
with zeroes at x= -1 and -5
Graphs - $300
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f(x)=|x2-9| is not differentiable at these points.
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What is (3,0) (-3,0)?
Graphs - $400
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These represent the rel. extrema of the function
f(x)=x4-2x2 on the interval [-2,2]
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What is a Rel. min at (1,-1) (-1,-1) and rel. max
at (0,0)?
Graphs - $500

What is an abs. max at (π/6 , (3/2)31/2) and min
at (π/2 , 0)?
Position - $100

The velocity of a particle moving along the x axis at time
t is represented by the function f(t)=5t2/3+6t. This
quantity represents the total distance travelled by the
particle from t=1 to t=8 seconds.

What is 282 meters?
Position - $200
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The displacement of an object moving in a
straight line is given by s(t)=1+2t+t2/4. This
quantity represents the instantaneous velocity at
t=1 second.
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What is 2.5 m/s?
Position - $300
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A bottle rocket shot upward from a 10 ft stand
has velocity as represented in the function
v(t)=50-1.6t. This quantity represents the time
at which the rocket hits maximum height.
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What is 31.25 seconds?
Position - $400
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A particle is positioned along the x-axis as
represented by the function f(x)=x3+8x2+9.
This quantity represents the particle’s
acceleration when velocity is 12 m/s.
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What is 20 m/s/s?
Position - $500
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Given the position function of a particle being
s(t)=2t3-9t2, this duration represents the period
at which the particle is speeding up.
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What is (0,3/2) & (3,∞)?
Potpourri - $100
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The first derivative of f(x)=sin-1(k48cos(k))
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What is 0?
Potpourri - $200
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The equation of the horizontal asymptote of the
function f(x)=(73x2)/√(14x5)
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What is x=0?
Potpourri - $300
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The function f(x) such that the point (0,5) exists
and 18x+4 is the first derivative of the function
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What is f(x)=9x2+4x+5?
Potpourri - $400
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The fourth derivative of the function f(x)=42
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What is 0?
Potpourri - $500
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33
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What is 27?
Final Jeopardy
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A particle moves along the x-axis, starting at
x=0 and stopping at x=5, with an initial velocity
of 18m/s according to this position function.
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s(x)=(-5/36)x2+18x