misc math! Flashcards

1
Q

in how many ways can 6 books be arranged on a shelf?

A

6 x 5 x4 x 3 x 2 x1

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2
Q

A locker password consists of 4 different digits from 0 to 9. How many different passwords can be made if order matters?

A

10 x 9 x 8 x 7

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2
Q

A racing event has 15 competitors. How many different ways can the top 4 finishers be arranged in order?

A

15!/(15−4)!

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3
Q

distance formula

A

√(x2−x1)^2+(y2−y1)^2

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4
Q

midpoint formula

A

(x1 + x2)/2, (y1 + y2)/2

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5
Q

csc reciprocal identity

A

1/sin

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6
Q

sec reciprocal identity

A

1/cos

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7
Q

cot reciprocal identity

A

1/tan

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8
Q

tan quotient identity

A

sin/cos

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9
Q

how to get the limitation

A

substituting. if it isnt rational then factor

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10
Q

how to get the derivative

A

multiply the coefficient with the exponent of the variable, and then subtract 1 from the exponent.

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