Rest Flashcards

1
Q

How would you solve arctan(arctanx)

A

Chain rule

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2
Q

Differentiate 2^x

A

2^xln2 (ln both sides then differentiate)

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3
Q

What is a point of inflection

A

Where the second derivative=0

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4
Q

What rule would you use to differentiate 4x(2x+1)^3

A

Product rule

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5
Q

Differentiate ln(x^2+4x+2)

A

(2x+4)/(x^2+4x+2)

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6
Q

What happens if something is about to tilt?

A

If it is about to tilt about A then there is no reaction force for A rA=0

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7
Q

arc length in radians

A

R0

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8
Q

area in radians

A

1/2 r^2 0

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9
Q

Identity for tan

A

tan^2+1=sec^2

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10
Q

Identify for cosec

A

Cot^2+1=cosec^2

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11
Q

Sin2A

A

2sinAcosA

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12
Q

Cos2x ( in terms of squares)

A

cos^x-sin^2x

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13
Q

cos2x (interms of cos)

A

2cos^2 (x) - 1

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14
Q

cos2x (in terms of sin)

A

1-2sin^2 (x)

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15
Q

Identity for sech

A

sech^x=1-tanh^x

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16
Q

Identity for coth

A

coth^x=cosech^+1

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17
Q

what does coth differentiate to

A

-cosech^x

18
Q

What does sechx differentiate to

A

-sech tanh

19
Q

Describe the r sin and r cos things

A
20
Q

What does cosech differeniate to

A

Sosech coth

21
Q

cosh 2x

A
22
Q

For methods of differences start at what

A

0!!!!

23
Q

mixing

A

Unlikely mixing is instaneous

24
Q

SHow two non parralel lines same plane

A

Show they intersect

25
Q

Vector equiation of plane

A

lamda mew

26
Q

Cartesian plane

A

x,y,z

27
Q

Mian thing for double second order limit

A

Things can become neg when theyu shouldnt

28
Q

Singular matricies

A

determinant=0

29
Q

Non singular matrix

A

Determinant not=0

30
Q

What does it mean if singular

A

Either 0 solutions of infinite solutions

31
Q

What is infinite solutions mean

A

Sheath as planes intersect to form line or can all be same plane

32
Q

Singular matrix with 0 solutions

A

Prism or they can all be parrale

33
Q

Det a not equal 0

A

Meet at single point

34
Q

Same equations when you sub in

A

Sheaf

35
Q

Two equations that cannpot be possible when you plug in

A

Prism

36
Q

Consistent

A

Sheaf

37
Q

Non consistent

A

Prism

38
Q

All same

A

Stacked on top

39
Q

Tangents intersect circle once so

A

discriminant=0

40
Q

concave

A

less than 0

41
Q

Convec

A

Positive

42
Q
A