Test 1 - 9/23/21 Flashcards

1
Q

units of F(x) vs units of f related to x

A

f(x) is the value of the y axis while f related to x is ride/run

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2
Q

explain velocity increasing or decreasing in all senarios

A

getting faster in pos direction - inc
getting faster in neg direction - dec
getting slower in pos direction - dec
getting slower in neg direction - inc

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3
Q

average rot formula

A

F(a)-F(b)/a-b

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4
Q

what is the slpe of a secant line

A

the AROT over an interval

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5
Q

what os slope of tan line

A

ROT at a specific point

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6
Q

value of delta x at F’(x)

A

0

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7
Q

formula for f’(x)

A

F(a+Delta X)-F(a) / Delta X

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8
Q

what is squeeze throum

A

showing that a limit of a fucntion is somethingbecause it needs to be within two other funtions that have the same value at a specified point

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9
Q

what are the unites for velocity

A

s/t (units/time)

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10
Q

explain douuble sided limits

A

if they are equal forom both side, it exists at this point, if it is different from either side, this DNE

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11
Q

when can you seperate a limit into tow seperate limits and when can you not?

A

You can when both exist

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12
Q

lim x to 0 from pos for 1/x

A

inf

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13
Q

lim x to 0 from neg for 1/x

A

-inf

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14
Q

lim x to 0 1/x

A

DNE

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15
Q

if we have a limit of a funtion that is to the power of an integer, when can we bring the power over the entire limit?

A

If the limit function is to the power of a pos integer

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16
Q

If we have a funcion that has a function that is under a radicle, when can we bring this raduical over the whole limit?

A

If the root is a pos integer

17
Q

for squeeze, what do we usally use as our first term

A

cos or sin

18
Q

why do we use cos or sin in squeeze thereoum

A

because both have the range -1-1, domain -inf-inf

19
Q

lim x to 0 for siin(x)/x

A

1

20
Q

what is the IVT

A

Intermediat value thwerous, this is the provinf that a point either crosses or does not cross a line over a given interval.