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100

This is the derivative of y = 2x3 - 4x + 1

What is y' = 6x2 - 4?

100

This is the maximum possible product of two integers, x * y, when x + y has a sum of 32.

What is 256?

100

This is the indefinite integral of y = 4x + 7.

What is Y = 2x2 + 7x + C?

100

This is 18∫(5x + 9)dx.

What is 441/2? 

What is 220.5?

100

This is why randomization is essential in sampling.

What is to mitigate bias?

200

This is the derivative of y = (2x4 - 5)(3x2 + 8).

What is y' = 36x5 + 64x3 - 30x?

200

This is the maximum profit possible when C(x) = 1/2 x2 + 2 and R(x) = -1/5 x3 + 20x, in dollars per unit.

What is $60.50?

200

This is the indefinite integral of y = (3x - 2)(4x + 9).

What is Y = 4x3 + 9.5x2 - 18x + C?

200

This is f'(5) when f(x) = (2x - 3)(4x + 5).

What is 78?

200

This is the acceleration due to gravity on Earth's moon.

What is 1.625 m/s2

What ist 5.318 ft/s2?

300

This is the derivative of y = ln(2sin(3x+1)).

What is y' = 3 ln(2) * cos(3x + 1)?

300

This is the minimum possible perimeter of a rectangle with an area of 96 cm2.

What is 16√6 cm? 

What is 39.2 cm?

300

This is the indefinite integral of y = (2x + 8) / (4x3).

What is Y = (-x - 2)/(2x2) + C? 

What is Y = -1/2 x-1 - x-2 + C?

300

If f(x) = x / ( 4x - 10), then this is f-1(10).

What is 100/39? 

What is 2.56?

300

This is the number of distinct notes in a single octave of a chromatic scale. 

What is 12?

400

This is the derivative of y = csc(2x - 3x).

What is y' = (3 - ln(2) * 2x) * csc(2x - 3x) * cot(2x - 3x)?

What is y' = (3 - ln(2) * 2x) * cos(2x - 3x) / sin2(2x - 3x)?

400

A rancher wants to construct two identical rectangular corrals using 200 ft of fencing.  The rancher decides to build them adjacent to each other, so they share fencing on one side.  These are the dimensions that the rancher should use to construct each corral so that together, they will enclose the largest possible area. 

What are 25 ft by 100/3 ft? 

What are 25 ft by 33.3 ft?

400

This is the indefinite integral of y = 5 / (x + 1).

What is Y = 5 ln(|x + 1|) + C?

400

This is the area bounded by  y= -x2 + 2x + 5, y = x3 - x - 1, the x-axis, and the y-axis. 

What is 34/3? 

What is 11.3?

400

This is the number of movements in Camille Saint-Saëns' Carnival of the Animals.

What is 14?

500

This is the derivative of y = xx.

What is y' = xx + xx ln (x)? 

What is y' = xx (ln(x) + 1)?

500

This is the point on the graph of y = √x that is closest to the point (5, 0)?

What is (9/2, 3√2/2)? 

What is (4.5, 2.12)?

500

This is the indefinite integral of y = sec(2x - 5) * csc(2x - 5) * tan(2x - 5). 

What is 1/2 * tan(2x - 5) + C?

500

This is the area bound by the curves of y = 2/x and y = -3/16 x2 + 7/8 x.

What is 7/4 - 2 ln(2)? 

What is 0.364?

500

These are the two Pokemon types that are both super effective against each other in the first generation, but aren't super effective against each other at all in any other generation. 

What are Bug and Poison?