welcome to jeopardy! ap calculus contestants!. call 911! we need a parametric. too hip to be...
TRANSCRIPT
Welcome to Jeopardy!
AP Calculus Contestants!
Call 911! We Need a
Parametric.
Too hip to be squared.
Can You Function in
the Morning?
Opposites Attract
I Saw the Sine.
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Graph the curve and determine the initial and terminal points, if any.
And the Answer Is:
Back to the Board.
π°ππππππ πππ π»πππππππ π·πππππ :(π ,π)8
6
4
2
-2
-4
-6
-8
-10 -5 5 10
Find a Cartesian equation for a curve that contains the parametrized
curve. What portion of the graph of the Cartesian equation is traced
by the parametrized curve?
And the Answer Is:
Back to the Board.
All
Find the values of t that produce the graph in Quadrant IV.
And the Answer Is:
Back to the Board.
βπ<π<π
Find a parametrization for the part of the graph that
lies in Quadrant I.
Possible Answers Include:
Back to the Board.
Find a parametrization for the left half of
the parabola
Back to the Board.
Possible Answers Include:
Rewrite the following
expression to have base 3:
Back to the Board.
And the Answer Is:
πβππ
Determine how much time is required for an investment to triple in
value if interest is earned at the rate of 5.75% compounded
daily.
Back to the Board.
And the Answer Is:
If John invests $2300 in a savings account with
a 6% interest rate compounded annually,
how long will it take until Johnβs account has a balance of $4150?
And the Answer Is:
Back to the Board.
βππ .ππππππππ
The half life of a certain radioactive substance is 12
hours. There are 8 grams present initially.
a) Express the amount of substance remaining as a function of time.
b) When will there be 1 gram remaining?
And the Answer Is:
Back to the Board.
a) Amount =
b) After 36 hours
The population of Glenbrook is 375,999 and is increasing at the rate of 2.25% per year. Predict when the population will
be 1 million.
Back to the Board.
And the Answer Is:
After about 44.081 years
Write an equation for the lines parallel and
perpendicular to the line and contains the point .
And the Answer Is:
Back to the Board.
Find the domain and range of the following
function:
Back to the Board.
And the Answer Is:
Determine if the following function is
even or odd:
And the Answer Is:
Back to the Board.
Odd function
Find the formula of the piecewise function displayed on the following graph:
And the Answer Is:
Back to the Board.
π (π )={πβ π , πβ€ππ π ,π<π
Find the composition of functions , , , and when
and
Back to the Board.
And the Answer Is:
Is the function one-to-one?
Explain why or why not.
And the Answer Is:
Back to the Board.
No because not every output has only one
input. (Does not pass the horizontal line
test.)
Does the function have an inverse?
If yes, find If not, explain why.
Back to the Board.
1f
And the Answer Is:
Back to the Board.
Yes, 1( )f x
Find the inverse of the following function
and verify that :
And the Answer Is:
Back to the Board.
π βπ (π )=βπβπ
Solve the following equation
algebraically and support your answer
graphically.
And the Answer Is:
Back to the Board.
Graph and on the
same screen.
What do you notice?
And the Answer Is:
Back to the Board.
8
6
4
2
-2
-4
-6
-8
-10 -5 5 10
π βπ (π ) ππ πππππππππππππ π (π )ππππ πππ πππππ=π
Determine the period and amplitude and
draw the graph of the following function:
π=πππ¬π (π π+π )βπ
And the Answer Is:
Back to the Board.
Period: Amplitude: 3 6
5
4
3
2
1
-1
-2
-3
-4
-5
-6
-7
-10 -8 -6 -4 -2 2 4 6 8 10
Find the value of the six trigonometric
functions at given that
And the Answer Is:
Back to the Board.
Evaluate the following expression:
And the Answer Is:
Back to the Board.
π¬π’π§(ππ¨πβπ(πππ ))= πππ
Show that is an odd function of x.
Using this, show that the reciprocal of an odd function is also odd.
And the Answer Is:
Back to the Board.
ππ¬π(βπ½ ΒΏ)= πβπ
=β( ππ )=βππ¬ππ½ ΒΏ
The reciprocal of cosecant is the sine function:
Solve the following equation in the
specified interval:
And the Answer Is:
Back to the Board.
π=π πππ§π
ππ π