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Christmas Movie Trivia
100
Find the limit of f(x) as x approaches 1
f(x)=(x-1)/(x^2-1)
1/2
100
Find
dy/dx
y=x^2/(4-x^2)
(8x)/(4-x^2)^2
100
Find
dy/dx
2y-xy-9=4x
(4+y)/(2-x)
100
The velocity of a particle is represented by the graph above. Determine whether the speed of the particle is increasing, decreasing, or neither at time, t = 3.
increasing
100
In the 1983 movie, A Christmas Story, which Christmas gift does Ralphie want so badly?
A Daisy Red Ryder BB gun
200
Find the limit of f(x) as x approaches 0
f(x)=sinx/x
1
200
Find the derivative of
f(x)=(2-7x)^5
-35(2-7x)^4
200
If (4,5) is a point on the graph of g, find the equation of the tangent line to g at x = 4.
y - 5 = -2(x - 4) or y = -2x + 13
200
Use the table to find h'(1) if h(x)=f(g(x)).
30
200
In the 1989 comedy National Lampoon's Christmas Vacation, what had Clark Griswold been planning to buy with the Christmas bonus he expected from work?
a pool
300
Evaluate the limit as h approaches 0.
(cos^2(x+h)-cos^2x)/h
-2cosxsinx
300
Find the equation of the tangent line at
x=(3pi)/4
g(x)=sinx
y-sqrt2/2=-sqrt2/2(x-(3pi)/4)
300
An observer stands 1,200 ft away from a launch pad to observe a rocket launch.The rocket blasts off and maintains a velocity of 900 ft/sec. How fast is the distance between the rocket and the observer changing when the rocket is 2400 ft from the ground?
804.984 ft/sec
300
Use the table to estimate f'(2.5)
9.5
300
The Charles Dickens' classic, A Christmas Carol, recounts the story of an elderly miser named . . .
Ebenezer Scrooge
400
Find the limit as x approaches -4
(sin(pix))/(x^2-16)
-pi/8
400
Differentiate.
sinxcosx
cos^2x-sin^2x
400
During the time interval
0<=t<=12
the amount of heating oil in a tank is given by the following function. To the nearest whole number, what is the least amount of heating oil in the tank?
H(t)=1/6t^3-11/3t^2+20t+125
123 gallons
400
Use the velocity graph to find the acceleration at time t = 7.5
-0.1
400
In the 2004 movie, The Polar Express, how did the hero boy lose the bell?
fell through a hole in his pocket
500
Find the limit of f(x) when x approaches -1
f(x)=(x+1)/(sqrt(x+5)-2)
4
500
If
f(x)=sec^2(sqrtx)
, then find
f'(x)
(sec^2(sqrtx)tan(sqrtx))/sqrtx
500
Train A and B leave the same station but on different tracks. Train A heads north at 60 mi/hr while Train B heads east at 80 mi/hr. After 1.75 hours, how fast is the distance between the trains increasing?
100 mi/hr
500
The position of an object attached to a spring is given by the function below, where t is time in seconds. In the first 4 seconds how many times is the velocity of the object equal to 0?
y(t)=1/6cos(5t)-1/4sin(5t)
6
500
The actor who plays Elf in the 2003 movie
Will Farrell