MHS Pi-Day Jeopardy

Hon Pre-Calc

100

if f(x)=8x²-13x-15, find f(3)-f(0)

33

200

simplify: 

sinx+sinxcot²x

cscx

300

Solve for x: 

√(log₃x) = 2

81

400

Find vertical asymptotes:

f(x) = (4x²+3x-1)/(2x²-5x+7)

x=2

500

Solve for x: 

4x + 4^(x+1) =72

x=2

AP Calc AB

100

Evaluate the limit:

Lim x→2 (x²-4)/(x-2)

4

200

Find:

d/dx (x³e^x)

3x²e^x+x³e^x

300

Compute ∫3x²sin(x)dx

-3x²cos(x)+6xsin(x)-6cos(x)+C

400

Evaluate the limit:

lim x->0 (sin(5x))/x

5

500

Solve the differential equation:

dx/dy + y = xe^-x, y(0)=1

y=e^-x((x²/2)+1)

AP Calc BC

100

Does the series converge or diverge?

∞

∑ n!/2ⁿ

n=1

Diverges

200

Find dy/dx:

x²+y²=25

dy/dx=-x/y

300

Determine the interval of convergence for the power series:

∞

∑ xⁿ/n

n=1

(−1,1]

400

Find the Maclaurin series for:

f(x) = 1/(1+x³)

∞

∑ (-1)ⁿx³ⁿ

n=0

500

Lim x→𝝅 (cosx+sin(2x)+1)/(x²-𝝅²)

1/𝝅

Hon/AP Stat

100

I would like to increase power in my study by decreasing variability in the data, so I should change this.

Sample Size

200

Suppose 80% of jurors come to a just decision. In a jury of six people, what is the probability more than half come to a just decision?

 A) .09888 B) .34464 C) .8 D) .90112 E) .98304

D) .90112

300

You should be cautious interpreting chi-squared results if any of the cells are smaller than this number

5

400

A researcher is conducting a study looking at the relation between number of books a person has in their house and their self-reported rating of preference for reading on a 1-5 scale. What test should they run?

Spearman's Correlation

500

Suppose the average score on a national exam is 500 with a standard deviation of 100. If each score is increased by 20 and the result is increased by 10 percent, what are the new mean and standard deviation? 

A) mean = 570, standard dev. = 100 B) mean = 570, standard dev. = 110 C) mean = 572, standard dev. = 100 D) mean = 572, standard dev. = 110 E) mean = 572, standard dev. = 132  

D) mean = 572, standard dev. = 110