Fall Semester Exam Flashcards

1
Q

bounded regions have ___ and ___ solutions

A

max and min

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2
Q

difference of cubes

A

a^3-b^3=(a-b)(a^2+ab+b^2)

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3
Q

sum of cubes

A

a^3+b^3=(a+b)(a^2-ab+b^2)

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4
Q

square root of -4

A

2i

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5
Q

square root of -28

A

2i√7

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6
Q

square root of -2

A

i√2

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7
Q

i

A

√-1

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8
Q

i^2

A

-1

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9
Q

i^3

A

-i

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10
Q

i^4

A

1

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11
Q

1 remainder

A

i/√-1

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12
Q

2 remainder

A

i^2/-1

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13
Q

3 remainder

A

i^3/-i

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14
Q

0 remainder

A

i^4/1

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15
Q

discriminant=0

A

1 real solution

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16
Q

discriminant>0

A

2 real solution

17
Q

discriminant<0

A

2 imaginary/complex solution (i)