exam flashcards

1
Q

polar form

A

r(cosx+isinx)

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2
Q

1 in polar form

A

1=cos2pi+isin2pi

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3
Q

integers

A

Z (-2, -1, 0, 1, 2)

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4
Q

natural numbers

A

N -positive integers (1, 2, 3)

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5
Q

whole numbers

A

W (0, 1, 2, 3)

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6
Q

real numbers

A

R -every number (rational and irrational)

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7
Q

contradiction

A

assume conjecture is false

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8
Q

A’= -A

A

skew symmetric matrix

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9
Q

skew symmetric matrices always have

A

0s in the lead diagonal

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10
Q

redundancy means

A

there is an infinite number of solutions

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11
Q

cosecx=

A

1/sinx

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12
Q

cotx=

A

1/tanx

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13
Q

cos^2x-sin^2x=

A

cos2x

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14
Q

f’’(x)>0

A

minimum t.p.

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15
Q

f’’(x)<0

A

maximum t.p.

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16
Q

2sin^2x=

A

1-cos2x

17
Q

If’(x).f(x)=

A

1/2(f(x))^2+c

18
Q

2cos^2x=

A

1+cos2x

19
Q

sin2x=

A

2sinxcosx

20
Q

displacement =

A

|(x(t))^2+(y(x))^2|

21
Q

direction=

A

tana= dy/dt / dx/dt

22
Q

tanx=0/1

A

0

23
Q

tanx=0/-1

A

pi

24
Q

if A=A’

A

the matrix is symmetrical

25
Q

A+B=

A

A’+B’

26
Q

co prime

A

having no positive factors in common aside from 1

27
Q

Itanx/cosx=

A

secx

28
Q

(n-2)!=

A

(n-2).(n-3)!