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Sketch the graph given the criteria: Limits- $100 Question Click to see answer
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The Great Calculus Journey
by Jesse Governale, Tom Sawtelle, and Jacob Donald
JEOPARDY BOARDLimits Graphing Limits
(algebraic) Derivatives Chapter 1 Calc Potpourri
$100 $100 $100 $100 $100 $100
$200 $200 $200 $200 $200 $200
$300 $300 $300 $300 $300 $300
$400 $400 $400 $400 $400 $400
$500 $500 $500 $500 $500 $500
FINAL JEOPARDY
Sketch the graph given the criteria:
Limits- $100 Question
Click to see answer
Note: Your answer is correct based on the placement of the given criteria, not the shape. You could use straight lines instead of the
parabolic curves shown in the example solution above.
Limits - $100 Answer
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Show there is a zero of the function y=3x^2+2x-1 using the Intermediate
Value Theorem
Limits - $200 Question
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1. Function is a Polynomial , therefore it is continuous everywhere
2. F(0)= -1 F(1)=4
3. Therefore, by IVT there exists a value C such that F(C)=0
Limits - $200 Answer
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Using the precise Definition of a limit, prove=3
Limits- $300 Question
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Restriction: 3<x<50<d<3(Ɛ-3)
Limits - $300 Answer
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On what interval is the given equation
continuous?
Limits - $400 Question
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Polynomial, therefore it is continuous from (-∞,∞)
Limits - $400 Answer
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Find the slope of the tangent line to the curve
described below.
Hint: use
Limits - $500 Question
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= 6
Limits - $500 Answer
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The table shows (lifetime) peptic ulcer rates (per 100 population) for various family incomes as
reported by the National Health Interview Survey. Make a scatter plot of these data and decide
whether a linear model is appropriate.
Graphing - $100 Question
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A linear model is appropriate.Graphing - $100 Answer
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Determine lim 1 / (x^3 - 1) x-->1 from the left
and lim 1 / (x^3 - 1) x-->1 from the right
from a graph of f
Graphing - $200 Question
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lim 1 / (x^3 - 1) = - infinity
x-->1 from the left
lim 1 / (x^3 - 1) = infinity
x-->1 from the left
Graphing - $200 Answer
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Explain why the function is discontinuous at the given number
a. Sketch the graph of the function.
f(x) = ln I x - 2 Ia = 2
Graphing - $300 Question
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The function is discontinuous at a because ln(0) is undefined.
Graphing - $300 Answer
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Use a graph of f(x)= (1 - 2/x)^x to estimate the value of limx→ infinity f(x)
to two decimal places
Graphing - $400 Question
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y = .10Graphing - $400 Answer
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Find an equation of the tangent line to the curve at the given point. Illustrate by graphing the curve and
the tangent lines on the same screen.
y = 3x^2 - x^3 (1,2)
Graphing - $500 Question
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(y - 2) = 3(x - 1)
Graphing - $500 Answer
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Solve the limit using Algebra
Hint: Common Denominator
Limits (alg) - $100 Question
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Limits (alg) - $100 Answer
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Solve the Limit using Algebra
Limits (alg) - $200 Question
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Limits (alg) - $200 Answer
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Solve the Limit using Algebra
Hint: Conjugate
Limits (alg) - $300 Question
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Limits (alg) - $300 Answer
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Solve the Limit using Algebra
Limits (alg) - $400 Question
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Limits (alg) - $400 Answer
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Solve the Limit using Algebra
Limits (alg) - $500 Question
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Limits (alg)- $500 Answer
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What is the derivative ofx2+7x-18
Derivatives - $100 Question
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2x+7
Derivatives- $100 Answer
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What is the derivative of4x2+17x+45
Derivatives - $200 Question
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8x+17
Derivatives - $200 Answer
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solve for f(x)’’5x3+8x2-12x+42
Derivatives- $300 Question
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30x+16
Derivatives- $300 Answer
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Solve for f(x)’’f(x)=4x4-14x3-12x2+13x+19
Derivatives- $400 Question
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48x2-84x-24
Derivatives- $400 Answer
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Solve for f(x)’’’f(x)=4x5-6x4-3x3+4x2-7x+34
Derivatives- $500 Question
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240x2-144x-18
Derivatives- $500 Answer
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Where does does the graph move when y=f(x-
6)?
Chapter 1 - $100 Question
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6 units to the right
Chapter 1 - $100 Answer
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Find sec(tan-112/5)
Chapter 1 - $200 Question
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13/5
Topic 5 - $200 Answer
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What is log .0001Chapter 1- $300 Question
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-4
Chapter 1- $300 Answer
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Find the line segment that connect points (-3,4) with (1,-2).
Chapter 1- $400 Question
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y=-3/2x+.5
Chapter 1- $400 Answer
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What is f(g(h(4)))?Chapter 1- $500 Question
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1 2 3 4 5 6 7
f(x) 2 3 1 5 2 6 4
g(x) 6 1 3 6 4 5 4
h(x) 3 5 4 3 7 7 8
f(g(h(4))) = 1
Chapter 1- $500 Answer
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Find the derivative of (e)^(e^x)
Calc Potpourri - $100 Question
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f’ = (e)^(e^x) * e^x
Calc Potpourri - $100 Answer
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Name the four ways that you can represent a
function.
Calc Potpourri - $200 Question
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Verbally, numerically, visually, and algebraicly
Calc Potpourri - $200 Answer
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Which one is f(x) and f’(x)?
Calc Potpourri - $300 Question
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Red = f’(x)Green = f(x)
Calc Potpourri - $300 Answer
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Use a table of values to estimate the value of the
limit. lim [sqrt(x+4) - 2] / x x-->0
Calc Potpourri - $400 Question
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lim = 0.250 x-->0
Calc Potpourri - $400 Answer
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Find the derivative of y = cos(sqrt(sin(tan(pi*x)))
Calc Potpourri - $500 Question
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f’ = -sin(sqrt(sin(tan(pi*x))) * (½)(sin(tan(pi*x)))^(-½) * cos(tan(pi*x)) * sec^2(x) * pi
Calc Potpourri - $500 Answer
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Topic: Type topic here
FINAL
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Final Jeopardy Question
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Solve for y’
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Final Jeopardy Answer
See yellow sticky inside envelope for alternate answer.