first calc quiz Flashcards

1
Q

tan pi/6

A

rt 3/3

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2
Q

tan pi/4

A

1

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3
Q

tan pi/3

A

rt 3

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4
Q

0/5

A

0

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5
Q

5/0

A

undefined

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6
Q

when do you set h not equal zero

A

when the equation is simplified and h is alone in the denominator

(or any variable)

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7
Q

imaginary numbers doesn’t exist in calculus

A

meaning: “not real”

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8
Q

average rate of change formula

A

f(b)-f(a)/ b-a

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9
Q

method for limits numberically/ algebraically

A

plug constant in
if get 0/0 -> inderterminant -> rationalize f(x)

most likely using conjugated, don’t simplify till end

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10
Q

positive exponential function less than 1

A

starts from top left ends in botto right

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11
Q

exponential functions have what features

A

horizontal asymptote

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12
Q

log/ ln functions have what feature

A

vertical asymptote

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13
Q

log with a base greater than 1

A

starts under origin at VA in lower left and ends to the far most right slightly upper

(same with ln!!!!!)

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14
Q

log with a base less than 1

A

starts at VA in upper left ends in lower right under the horizontal origin line

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15
Q

exponential functions less than 1 and negative

A

starts in top right on other side of origin line(y) and ends in left lower right above origin line/ asymptote(x)

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16
Q

When doing limit equations

A

Always being down limit sign when showing your work

17
Q

when finding invese coordinates

A

include parentheses

just switch x and y coordinates

18
Q

when endpoints on graph and you need coordinates

A

use brackets on parts with endpoints

use union symbol U to connect multiple coordinates

ex, [-5,2] U [4,5]