[finding polar points]
1. find coterminal angle (r, 2n) if using tan (r, n)
for negative r: go in the opposite direction of the positive angle to find the point
for negative : go counterclockwise
[pol
[derivative]
substitute in r into the derivative formula
simplify and evaluate at the given angle
horizontal tangent line: top = 0 and bottom not equal to zero (dy/dt = 0 and
dx/dt is not equal to zer
[steps]
1. evaluate as normal
proper format: constant and 0 > convergeinfinity > divergestrig/ln(inf) >
DNE
improper format: indeterminate form > use a technique
note: the standard format is y
[steps] OS of the solved for variable
1. both functions either y = f(x) or x = f(y) (choose)
2. find a and b by always going left to right for y = f(x) and bottom to top for x =
f(y) [opposite] if ext
ln(x) x>0
sqrt(x) x is postive >= 0
note: negative proper fractions = 0
1 is just one of the answers of 1^infinity. the final answer is Indeterminate

both Indeterminate.
= DNE
all other trig are und
note: The divergence test and telescoping sums utilize the evaluation of
limts.don't confuse with the methods for sequences
for each type of series always try the divergence test first.
1. modify limi
horizontal tangent line top = 0 and bottom not equal to zero (dy/dt = 0 and
dx/dt is not equal to zero)
for ellipses a^2 >= b^2 a^2 is whichever is the larger denominator. b^2 is
whichever is the sm
[fluid force on vertical surface]
1.find a and b . a is the top of the object and is labeled 0  b is the bottom of the
object [0 to .]
it is either 2 to 10 or 0 to 8 either one is correct
2. weight d

Finding the interval of convergence and radius treat x as a constant when applying the
limit
1. apply the ratio test for absolute convergence then set the result < 1
if the result converges(treating
The rectangle is perpendicular to the axis of revolution (verified spring 6.3 notes)
[steps] OSO of the AOR (use if both functions opposite of aor)
1. create a mirror around the axis of revolution
2.
always simplify.it is necessary to get the correct answer
[mnemonics]
differentation(powers): EVD (exponent/variable/decrease) early voting district
negative differentation: DCN (applies to cos csc an