Test #4 vocab

Question 1

Power Series

Answer 1

Polynomial with an infinite number of terms

Question 2

Power Series always

Answer 2

converges somewhere

Question 3

2

Answer 3

Alternating Haromic Series : converges

Question 4

Never want a negative tied to

Answer 4

any number other than 1

Question 5

2^x derivative

Answer 5

2^x ln ( 2 )

Question 6

y = ax^2 : if a is positive…

Answer 6

parabola opens up or right

Question 7

y = ax^2 : if a is negative…

Answer 7

parabola opens down or left

Question 8

y = ax^2 : if x is squared…

Answer 8

parabola opens up or down

Question 9

y = ax^2 : if y is squared…

Answer 9

parabola opens left or right

Question 10

parabola vertex formula

Answer 10

( -b/2a , f ( -b/2a ) )

Question 11

Unit circle

Answer 11

centered a 0 , radius of 2

Question 12

Circle

Answer 12

points all equal distance from each other

Question 13

Eclipse

Answer 13

has a major and minor axis

Question 14

Major axis length

Answer 14

sqrt of larger denominator , then multiply by 2

Question 15

Minor axis length

Answer 15

sqrt of smaller denominator , then multiply by 2

Question 16

Circle formula

Answer 16

x^2 + y^2 = r^2 or ( x - h )^2 + ( y - k )^2 = r^2: center = ( h , k )

Question 17

Eclipse formula

Answer 17

x^2 + y^2 = 1 ; a = larger
—– —–
b^2 a^2

Question 18

if ratio test is 0

Answer 18

“converges for all x” R = infinity , I = ( - inf , inf )

Question 19

if ratio test is infinity

Answer 19

diverges for all x besides x = c , R = 0 , I = { c }