F&F Q1 Flashcards

1
Q

volume for cone

A

V= 1/3(3.14)r^2(h)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

volume for sphere

A

V=4/3(3.14)r^3

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

sin^2 X + cos^2 X=

A

1

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

1+tan^2 X =

A

sec^2 X

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

cot^2 X + 1

A

csc^2 X

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

sin2u=

A

2sin(u)cos(u)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

cos2u=

A

1) cos^2 u - sin^2 u
2) 2cos^2 u - 1
3) 1-2sin^2 u

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q

definition of even function

A

crosses y axis

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
9
Q

definition of odd func

A

crosses origin

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
10
Q
lim     sin(x) / x
x->0
A

1

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
11
Q

lim 1-cos(x) / x

x->0

A

0

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
12
Q

a function is continuous if

A

lim = lim
x->a^- x+a^+

lim = f(a)
x->a

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
13
Q

types of discontinuity

A

jump
infinite
removable
oscillating

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
14
Q

secant line

A

straight line crossing 2 points related to roc

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
15
Q

how do you find a limit approaching + and - ∞

A

find horizontal / slant asymptote

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
16
Q

when does a derivative not exist

A

discontinuity
corner
cusp
verticals tangent line

17
Q

instantaneous velocity / rate of change

A

related to tangent & derivative

18
Q

average velocity

A

slope/ average ROC / secant

19
Q

product rule

A

u’v + uv’

20
Q

quotient rule

A

u’v - uv’ / v^2

21
Q

chain rule

A

f(u) • u’

22
Q

power rule

A

x^n nx^n-1

23
Q

derivative of all 6 trig funcs

A
sinx=cosx
cosx=-sinx
tanx=sec^2 X
cotx = -csc^2 X 
secx = secxtanx
cscx = - cscxcotx
24
Q

volume for cylinder

A

V= 3.14r^2