FINAL JEOPARDY!. Try Angles Slippery Slopes Putting it all Together SadisticsTheorems $200 $400 $600 $800 $200 $400 $600 $800 $200 $400 $600 $800 $200.

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Presentation transcript:

FINAL JEOPARDY!

Try Angles Slippery Slopes Putting it all Together SadisticsTheorems $200 $400 $600 $800 $200 $400 $600 $800 $200 $400 $600 $800 $200 $400 $600 $800 $200 $400 $600 $800 $1000 JEOPARDY!

Angles : $200 This “dull” type of angle measures over 90 degrees. JEOPARDY!

Angles : $400 JEOPARDY! The ‘co’ in cosine stands for this type of angle found in a right triangle.

Angles : $600 The height of a tower whose base is 100 m away and whose pinnacle has an angle of elevation of 45 . The height of a tower whose base is 100 m away and whose pinnacle has an angle of elevation of 45 . JEOPARDY!

Angles : $800 cos(arcsin(2/3)) JEOPARDY!

Angles : $1000 The period of: The period of: JEOPARDY!  tan(x/  )

Slopes : $200 For the segment containing (-2, -3) and (4, 5), the slope is this. For the segment containing (-2, -3) and (4, 5), the slope is this. JEOPARDY!

Slopes : $400 Given a function the formula for its slopes is given by this. Given a function the formula for its slopes is given by this. JEOPARDY!

Slopes : $600 The slope of x = cos(t), y = sin(t) at t = pi/4. JEOPARDY!

Slopes : $800 The derivative of the function: The derivative of the function: JEOPARDY! f(x) = sec 3 (ln x)

Slopes : $1000 The direction vector for the space curve: The direction vector for the space curve: r(t) = (t^2, t, sqrt(t)). JEOPARDY!

Together : $200 Area under y = 1/x from x = 1 to x = 100. Area under y = 1/x from x = 1 to x = 100. JEOPARDY!

Together : $400 While the exact value eludes us, we can say that the series does this. JEOPARDY!

Together : $600 1/3 + 1/12 + 1/48 + … 1/3 + 1/12 + 1/48 + … JEOPARDY!

Together : $800 The average value of cos(x) on the interval [0, pi/2]. The average value of cos(x) on the interval [0, pi/2]. JEOPARDY!

Together : $1000 JEOPARDY! The Maclaurin series for this function is: The Maclaurin series for this function is: 1 + x 2 + x 4 /2! + x 6 /3! + … 1 + x 2 + x 4 /2! + x 6 /3! + …

Sadistics : $200 Another word for average. Another word for average. JEOPARDY!

Sadistics : $400 This measures the average distance to the mean. This measures the average distance to the mean. JEOPARDY!

Sadistics : $600 Daily Double!!! Daily Double!!! JEOPARDY!

Sadistics : $800 For UNC’s geography majors, Michael Jordan’s starting salary of $250,000 was one of these. For UNC’s geography majors, Michael Jordan’s starting salary of $250,000 was one of these. JEOPARDY!

Sadistics : $1000 JEOPARDY! I can’t remember this memoryless continuous analog of the geometric distribution.

Theorems : $200 The distance formula in the xy-plane is a consequence of this theorem from antiquity. The distance formula in the xy-plane is a consequence of this theorem from antiquity. JEOPARDY!

Theorems : $400 The Cauchy-Goursat theorem says that the integral of an analytic function on a simple closed contour is always equal to this. The Cauchy-Goursat theorem says that the integral of an analytic function on a simple closed contour is always equal to this. JEOPARDY!

Theorems : $600 JEOPARDY! This not too difficult theorem can be used to estimate zeroes of polynomials.

Theorems : $800 JEOPARDY! That the distribution of sample means tends to be normal is a result of this theorem.

Theorems : $1000 JEOPARDY! This theorem asserts that every polynomial of degree n has at most n roots.

Daily Double Daily Double Use this method to find the line of best fit. Use this method to find the line of best fit. JEOPARDY!

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Final Jeopardy