The Great Calculus Journey by Jesse Governale, Tom Sawtelle, and Jacob Donald

JEOPARDY BOARD Limits Graphing Limits (algebraic) DerivativesChapter 1 Calc Potpourri $100 $200 $300 $400 $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 - $100 Answer Click to return to Jeopardy Board

Show there is a zero of the function y=3x^2+2x-1 using the Intermediate Value Theorem Limits - $200 Question - $200 Question Click to see answer

1.Function is a Polynomial, therefore it is continuous everywhere 1.F(0)= -1 F(1)=4 1.Therefore, by IVT there exists a value C such that F(C)=0 Limits - $200 Answer - $200 Answer Click to return to Jeopardy Board

Using the precise Definition of a limit, prove =3 Limits- $300 Question- $300 Question Click to see answer

Restriction: 3<x<5 0<d<3( Ɛ -3) Limits - $300 Answer - $300 Answer Click to return to Jeopardy Board

On what interval is the given equation continuous? Limits - $400 Question - $400 Question Click to see answer

Polynomial, therefore it is continuous from (-∞,∞) Limits - $400 Answer - $400 Answer Click to return to Jeopardy Board

Find the slope of the tangent line to the curve described below. Hint: use Limits - $500 Question - $500 Question Click to see answer

= 6 Limits - $500 Answer - $500 Answer Click to return to Jeopardy Board

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 - $100 Question Click to see answer

A linear model is appropriate. Graphing - $100 Answer - $100 Answer Click to return to Jeopardy Board

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 - $200 Question Click to see answer

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 - $200 Answer Click to return to Jeopardy Board

Explain why the function is discontinuous at the given number a. Sketch the graph of the function. f(x) = ln I x - 2 I a = 2 Graphing - $300 Question - $300 Question Click to see answer

The function is discontinuous at a because ln(0) is undefined. Graphing - $300 Answer - $300 Answer Click to return to Jeopardy Board

Use a graph of f(x)= (1 - 2/x)^x to estimate the value of lim x → infinity f(x) to two decimal places Graphing - $400 Question - $400 Question Click to see answer

y =.10 Graphing - $400 Answer - $400 Answer Click to return to Jeopardy Board

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 - $500 Question Click to see answer

(y - 2) = 3(x - 1) Graphing - $500 Answer - $500 Answer Click to return to Jeopardy Board

Solve the limit using Algebra Hint: Common Denominator Limits (alg) - $100 Question - $100 Question Click to see answer

Limits (alg) - $100 Answer - $100 Answer Click to return to Jeopardy Board

Solve the Limit using Algebra Limits (alg) - $200 Question - $200 Question Click to see answer

Limits (alg) - $200 Answer - $200 Answer Click to return to Jeopardy Board

Solve the Limit using Algebra Hint: Conjugate Limits (alg) - $300 Question - $300 Question Click to see answer

Limits (alg) - $300 Answer - $300 Answer Click to return to Jeopardy Board

Solve the Limit using Algebra Limits (alg) - $400 Question - $400 Question Click to see answer

Limits (alg) - $400 Answer - $400 Answer Click to return to Jeopardy Board

Solve the Limit using Algebra Limits (alg) - $500 Question - $500 Question Click to see answer

Limits (alg)- $500 Answer (alg)- $500 Answer Click to return to Jeopardy Board

What is the derivative of x 2 +7x-18 Derivatives - $100 Question- $100 Question Click to see answer

2x+7 Derivatives- $100 Answer- $100 Answer Click to return to Jeopardy Board

What is the derivative of 4x 2 +17x+45 Derivatives - $200 Question Click to see answer

8x+17 Derivatives - $200 Answer Click to return to Jeopardy Board

solve for f(x)’’ 5x 3 +8x 2 -12x+42 Derivatives- $300 Question- $300 Question Click to see answer

30x+16 Derivatives- $300 Answer Click to return to Jeopardy Board

Solve for f(x)’’ f(x)=4x 4 -14x 3 -12x 2 +13x+19 Derivatives- $400 Question Click to see answer

48x 2 -84x-24 Derivatives- $400 Answer Click to return to Jeopardy Board

Solve for f(x)’’’ f(x)=4x 5 -6x 4 -3x 3 +4x 2 -7x+34 Derivatives- $500 Question- $500 Question Click to see answer

240x x-18 Derivatives- $500 Answer Click to return to Jeopardy Board

Where does does the graph move when y=f(x-6)? Chapter 1 - $100 Question - $100 Question Click to see answer

6 units to the right Chapter 1 - $100 Answer - $100 Answer Click to return to Jeopardy Board

Find sec(tan -1 12/5) Chapter 1 - $200 Question - $200 Question Click to see answer

13/5 Topic 5 - $200 Answer Click to return to Jeopardy Board

What is log.0001 Chapter 1- $300 Question- $300 Question Click to see answer

-4 Chapter 1- $300 Answer- $300 Answer Click to return to Jeopardy Board

Find the line segment that connect points (-3,4) with (1,-2). Chapter 1- $400 Question- $400 Question Click to see answer

y=-3/2x+.5 Chapter 1- $400 Answer- $400 Answer Click to return to Jeopardy Board

What is f(g(h(4)))? Chapter 1- $500 Question- $500 Question Click to see answer f(x) g(x) h(x)

f(g(h(4))) = 1 Chapter 1- $500 Answer Click to return to Jeopardy Board

Find the derivative of (e)^(e^x) Calc Potpourri - $100 Question - $100 Question Click to see answer

f’ = (e)^(e^x) * e^x Calc Potpourri - $100 Answer - $100 Answer Click to return to Jeopardy Board

Name the four ways that you can represent a function. Calc Potpourri - $200 Question - $200 Question Click to see answer

Verbally, numerically, visually, and algebraicly Calc Potpourri - $200 Answer - $200 Answer Click to return to Jeopardy Board

Which one is f(x) and f’(x)? Calc Potpourri - $300 Question - $300 Question Click to see answer

Red = f’(x) Green = f(x) Calc Potpourri - $300 Answer - $300 Answer Click to return to Jeopardy Board

Use a table of values to estimate the value of the limit. lim [sqrt(x+4) - 2] / x x-->0 Calc Potpourri - $400 Question - $400 Question Click to see answer

lim = x-->0 Calc Potpourri - $400 Answer - $400 Answer Click to return to Jeopardy Board

Find the derivative of y = cos(sqrt(sin(tan(pi*x))) Calc Potpourri - $500 Question - $500 Question Click to see answer

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 - $500 Answer Click to return to Jeopardy Board

Topic: Type topic here FINAL Click to see Click to see question

Final Jeopardy Question Click to see answer Solve for y’

Click to return to Jeopardy Board Final Jeopardy Answer See yellow sticky inside envelope for alternate answer.