The rate at which two trains are moving away from each other after two hours. If train A is heading north at 75 mi/hr and train B is heading East at 90 mi/hr. Both trains start off at the same point of a right intersection.
What is 117.16 mi/hr?
100
f'(x) when f(x)= 7x^6+3x^4-x+2.
What is 42x^5+12x^3-1?
100
Equation for Integration by Parts.
What is uv-{vdu?
100
*No Calculator* *On paper*
The function graphed.
What is sin(x)?
100
The place Dan worked during college.
What is Jimmy John's?
200
The rate at which the volume of a balloon is changing, when the radius is 20cm^2 and changing at 3 cm/sec.
The speed at which the height of the water in a circular cylindrical tank drops, when being drained at 25 cm^3/sec. The tank stands upright and has a radius of 20 cm.
What is dh/dt= 1/16pi cm/sec?
300
The integral of {(3/t-2/t^2).
What is 3lnt+2/t+C?
300
When you evaluate {x^2e^x dx.
What is (x^2)e^x-2xe^x+2xe^x+C?
300
Given f and g are differential functions and..
f(a)=4 g(a)=b g(c)=15 f(b)=10
f'(a)=9 g'(a)=c g'(c)=6 f'(b)
and if h(x)=f(g(x)), h'(a) is found.
What is 10c?
300
The reason Dan cannot drive the school van.
What is not having a WI license?
400
In terms of perimeter, P, the rate of change of the area of a square with a side increasing at a constant rate of 0.5 cm/sec.
What is .25P?
400
z'(x) when z(x)=(sin(cos(2x-9))).
What is 2csc^2(sin(cos(2x-9))cos(cos2x-9)sin(2x-9)?
400
When {4cos(3x)dx is integrated.
What is 4/3sin(3x)+C?
400
The Mean Value Theorem?
What is f'(c)= f(b)-f(a)/b-a?
400
Dan's least favorite soda & "Food Chain".
What is Sprite and Papa John's?
500
The rate at which the angle between a line and the water changes when a fish is reeled in at a rate of 1 ft/sec from a point 10 ft above the water.
What is 0.01746 rad/sec?
500
dy/dx for x-y^3/y+x^2=x+2.
What is dy/dx= 1-y-3x^2-4x/3y^2+x+2?
500
The value of the definite integral between [2,4] {ln(x)dx.
What is 6ln(2)-2?
500
The first quadrant of the unit circle. Including points (x,y) degrees and radians.