Autumn Half Term 1 Flashcards

1
Q

what is p x p x p x p

A

p^4

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2
Q

what is 5^2

A

125

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3
Q

what is √121

A

11

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4
Q

what are the two possible answers to x = √81

A

-9 or +9

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5
Q

what is a^1/2

A

√a

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6
Q

what is a^1/n

A

n√a

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7
Q

how would you make x^-n positive

A

1/x^n

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8
Q

how would you make (3/5)^-1 positive

A

(5/3)^1

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9
Q

a^b x a^c =

A

a^b+c

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10
Q

a^b / a^c

A

a^b-c

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11
Q

(x^a)^b

A

x^ab

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12
Q

what is 4,000,000 in standard form?

A

4 x 10^6

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13
Q

what is 36,000 in standard form?

A

3.6 x 10^4

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14
Q

differentiate y = x^n

A

dy/dx = nx^n-1

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15
Q

what is another name for dy/dx ?

A

the gradient function

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16
Q

when does a turning point occur?

A

when dy/dx = 0

17
Q

how would you find the coordinates of a turning point?

A

differentiate and solve the given equation (ie y = x^2 + 2) to find x, then substitute x in and solve to find y

18
Q

how many times must we differentiate to find the velocity?

A

once

19
Q

what is the formula for velocity?

A

ds/dt = 3t^2 + 10t

20
Q

how many times must we differentiate to find the acceleration?

A

twice

21
Q

what is the formula for acceleration?

A

dv/dt = 6t + 10