State the horizontal asymptote of this function: (3x^2)/(x^3 - 4x +3)
What is 0?
100
Find the derivative of y= tanx.
What is y' = (sec x)^2?
200
From [0, 2pi), solve: sec x + 2 = 0
What is 2pi/3, 4pi/3?
200
Evaluate: ln e ^7
What is 7?
200
Solve: 4^(x+3) = 16^(5x)
What is x=1/3?
200
State the domain of this function: (x^2 +2)/(2x^2 - 5x - 3)
What is R, x cannot equal -1/2, 3?
200
Find the derivative of X^3 +5x.
What is 3X^2 +5?
300
Solve for tangent of 5pi/3.
What is - sqrt(3)?
300
Evaluate: log base 2 of 1/8
What is -3
300
Solve for: -x^2 +3x +10 =0
What is x = 5, x = -2?
300
The radius of a circle is decreasing at a constant rate of 3 in/ sec. What is the rate of increase in the area, in squared seconds, at the instant when the circumference of the circle is 40pi meters?
What is = -120 in squared/ sec
300
Find the derivative of sin (2x).
What is 2cos(2x)
400
Evaluate: ln0.
What is undefined?
400
Evaluate: arccos (1)
What is 0?
400
The vertical asymptote(s) for:
y = 1/ (2cosx +1)
What is 2pi/3, 4pi/3?
400
When the area in square units of an expanding circle is increasing twice as fast as its radius is increasing in linear units, the radius should equal...?
What is 1/ pi?
400
The second derivative of:
F(x) = ( X +cosx) * (x^2)
What is -3x^2 -x^2sinx +2xcosx?
500
Another way of writing sin2X (think double-angle formulas)
What is 2sinxcosx?
500
Solve from [0,2pi): 2sin^2 x - 3sin x +1 =0
What is x = pi/6, 5pi/6, pi/2
500
(secX)^2 -1 =?
What is (tanx)^2?
500
A rock is dropped down a well that is 256 ft deep. When will it hit the bottom of the well?
What is 4 sec?
500
Find the first derivative by implicit differentiation:
xy = 2x^4 + 5y