Rate of Change
The rate of change goes from positive to negative.
What is a relative maximum?
The polar equation z=2( cos (pi/6) + i sin (pi/6) ).
Find the equation in rectangular coordinates
What is sqrt 3 + i ?
x=2cos (pi/6) y=2sin (pi/6)
Simplify sec x - cos x so that cos is not used and there are only two terms.
What is tan x sin x?
Condensed into one logarithm, the result is
log ( (2xz) / (3y) )
What is log x2 + log z - log y3?
Middle solution for f(x) = x3-2x+1 and g(x) = log5(6x+1) rounded to three decimal places.
What is (.234, .545)?
Average rate of change over the open interval -3 <x< 2 for the function
f(x) = (x+4)2 * (x-2)2
What is -5?
The rectangular coordinate (4, 2) in polar coordinates is _______________.
What is (2 sqrt 5, tan-1 (1/2)?
r2=x2+ y2 arctan (2/4)
Solutions for the equation 4 sin2x-1=0 [0, 2PI]
What is PI/6, 5PI/6, 7PI/6, & 11PI/6?
sin x = +/- 1/2
The domain of f(x) = log (x-2) if the range of f(x) is less than zero.
What is 2 < x < 3 ?
For the table below:
x = 0 .5 1 2 3
y = -6 -6 -8 -18 -6
Find y if x = -2
What is y = 94 ?
2x4-7x3+3x2-6
Find the average rate of change for
f(x) = (2/3)(x+3)(2x-1) over the domain [-4, 1].
What is -2/3?
The equation that makes a three pedal rose symmetric about the y axis with a maximum distance of 5.
What is 5 sin (3 theta)?
Solution(s) for sin (x/3) = 1/2.
What is PI/2?
PI/2 and 5PI/2, but 5PI/2 is out of the Domain.
The value of x that makes the following equation true: 96x-2 = 243x+1
What is x = 9/7?
For the function f(x) = sin (x), describe the behavior of f for the interval 39 < x < 41.
What is increasing?
(Concave up then concave down.)
For the function g(x) = |x| -3, find the absolute value difference in the Average Rate of Change on the interval [-6, 6] and on the interval [2, 4].
What is 0 - 1 or | -1| or 1?
Two things that tell us that the graph is getting further from the pole.
What is the function is positive and increasing or the function is negative and decreasing?
The domain and range of sec x is ____________ & _______.
What is pi/2 + Pi *n & [- inf , -1] U [1, + inf]?
Rational number solution for log 3 sqrt (1/27).
What is -3/2 ?
log3 (3-3) 1/2 ==> log33-3/2
The product of the hole and the asymptote for the function
f(x) = (6x2+7x-3) / (4x2-4x-15)
What is -15 / 4 ?
A positive cubic function, f(x) is valid over the domain (-1, 2). I claim that there is a relative minimum value somewhere between the endpoints.
Find the reason that allows me to make this claim.
What is the AROC goes from negative to positive?
r = Theta
What is Archimedes Spiral?
Simplification of ( (sec x)(tan2x+1)(1-cos2x)(sin (2x)))/ (1-csc2x) using only tan and sin for trig functions.
What is -2 sin x tan2x?
Value for b to make the following an equivalent equation. Log 3 x = 2 log b x.
What b = 9 ?
The exact value of cos (5Pi / 12).
What is ( sqrt 6 + sqrt 2 ) / 4?