Polynomials
Calculus
Applications
Formulas
Team
100

The square root of x2+2x+1.

What is |x+1|?

100

The formal definition of a derivative.

What is limh->0((f(x+h)-f(x))/h)

100

x, where x is a velocity equivalent to 60 mi/hr when converted from x ft/s.

What is 88 ft/s converted to mi/hr?

100

The area of a shadow of a sphere with radius r. (Assuming that the light source is far away).

What is pi*r2.

100

The names of your team members.

What are ...?

200

The zeroes of the function f(x)= 2x2-4x-6.

What is -1, 3?

200

The antiderivative of sec(x).

What is ln|sec(x)+tan(x)|+C?

200

After 12:00 the time at which the hour and minute hands point in the opposite direction of each other.

When is 12:32:44?

200

The area of a trapezoid.

What is 1/2 * h(b1 + b2)

200

The number of modules on the Plano campus including the library.

What is 12?

300

The polynomial -3x4-12x3+3x2+48x+36 divided by x+1.

What is -3x3-9x2+12x+36?

300

The series definition of ex?

What is the sum from n=0 to infinity of xn/n! ?

What is 1+x+x2/2+x3/6+x4/24+...?

300

The number of rotations a sphere of diameter 12 ft would need to rotate to travel 1 mile.

What is 140.06 rotations?

300

The quadratic formula for ax2+bx+c=0.

What is (-b +- sqrt(b2-4ac))/2a

300

The sum of the values that satisfy the equation:

x5-x3+64x2-64=0

What is 0?

450

f(g(f(g(x+1)))) where f(x)=x2+2 and g(x)=x-1

What is x4+2x2+3?

450

The derivative of xe-xsin(x).

What is e-x(xcos(x)-xsin(x)+sin(x))?

450

The area in a unit circle that is the difference between a sector from 0 to pi/3 and the equilateral triangle that has corners at the same points, namely (0,0), (1,0), and (1/2, sqrt(3)/2).

What is pi/6 - sqrt(3)/4?

450

The sum of inverse squares.

What is pi2/6.

450

The eighteenth term of the Fibonaucci sequence.

What is 1597?

600

The expanded form of (x+2)(3x+4)(5x+6).

What is 15x3 + 68x2 + 100x + 48

600

The derivative of xx.

What is xx(1+ln(x))?

600

The range on level ground of a projectile fired at 300 ft/s at an angle of 15 degrees assuming acceleration due to gravity is 32 ft/s2

What is 1406.25 ft?

600

The total volume of a cone with height and radius r subtracted from a sphere of radius r.

What is pi*r3?

600

(Without Calculator) The sum of:

12, 13, 14, 11, -3, 20, 56, 52, 12, 51,

11, 120, 1, 23, 100, 22, 71, 81, 9, 8,

920, -800, 42, 52, 11, 20, 21, 3, 14, 1,

31, 32, 17, 77, 7, 27, 11, 8, 11, 21.

What is 1210?