Orienting boundary with surface | Multivariable Calculus | Khan Academy
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normal
US / 'nɔ:ml /
•UK / ˈnɔrməl /
- adjecitve
- Standard or regular way of doing something
- Having standard mental or physical ability, health
itself
US / ɪtˈself /
•UK / ɪtˈsɛlf /
- pronoun
- Referring to it
once
US / wʌns /
•UK / wʌns /
- adverb
- One time; one instance
- At a time in the past
- conjunction
- When; as soon as
inside
US / ˌɪn'saɪd /
•UK / ɪnˈsaɪd, ˈɪnˌsaɪd /
- adjecitve
- Being in something
- Being in a building
- adverb
- Into a house; indoors
- noun
- Inner part or surface of something
point
US / pɔɪnt /
•UK / pɔɪnt /
- noun
- An item to be discussed
- Small spot or dot
- Fact or detail
- Feature of something
- The size of the text on a page or screen
- A certain time or stage in a process
- Certain position in time or space
- Idea or fact you try to convince people about
- Measurement of scores in a game, sport
- Sharp end of something, e.g. a pen or pin
- verb
- To face a certain direction, e.g. north
- To indicate something with your finger to others
valley
US / 'vælɪ /
•UK / ˈvæli /
- noun
- Area between mountains with river running through
sure
US / ʃʊə(r) /
•UK / ʃʊr /
- adjecitve
- Having no doubts about something
- Have confidence in your own words or actions
- Firmly established or held; being firm or stable
- Being correct or true
- adverb
- What you say to agree willingly
here
US / hɪə(r) /
•UK / hɪr /
- adverb
- In this place; at this location, position or time
actually
US / ˈæktʃuəli /
•UK / ˈæktʃuəli /
- adverb
- Used to add new (often different) information
use
US / ju:s /
•UK / ju:s /
- noun
- Ability to employ something
- Need to enable it to work
- Permission to do something with something
- Act of spending money
- Operation of a machine for its function
- verb
- To have; to eat, drink, consume etc.
- To need to operate or work
- To operate a machine, e.g. a computer
- To treat a person badly
- To do something with, for a task or purpose
walk
US / wɔ:k /
•UK / wɔk /
- noun
- Journey on foot done for pleasure or exercise
- verb
- To move with your legs at a slowish pace
convention
US / kənˈvenʃn /
•UK / kənˈvɛnʃən /
- adjecitve
- Concerning a large formal assembly or meeting
- noun
- Official agreement between two or more countries
- Large formal assembly, e.g. to make laws
- Proper and widely accepted way of behaving
true
US / tru: /
•UK / tru: /
- adjecitve
- Agreeing with the facts; not false; real or actual
would
US / wʊd /
•UK / wʊd /
- other
- Used to indicate something imagined
- Used to ask or request something politely
- Verb used to indicate possibility, request etc.
- Used to indicate a preference
- Used to indicate a reaction
- Indicates something that occurred repeatedly
- Used to indicate willingness or ability to do
understand
US / ˌʌndə'stænd /
•UK / ˌʌndɚˈstænd /
- verb
- To know the meaning of language, what someone says
pick
US / pɪk /
•UK / pɪk /
- noun
- Sharp tool used for breaking the ground
- Item selected from a group of choices
- verb
- To take fruit or vegetables from a plant or tree
- To decide on a thing from various choices; select
- To remove (flower, etc.) with your fingers
our
US / 'aʊə(r) /
•UK / aʊr /
- determiner
- Belonging to us
not
US / nɒt /
•UK / nɑt /
- adverb
- Word indicating the negative
- (Used to form the negative of verbs)
maybe
US / ˈmeɪbi /
•UK / ˈmebi /
- adverb
- Possibly but not certainly; perhaps
yellow
US / ˈjeləʊ /
•UK / ˈjeloʊ /
- adjecitve
- Color of lemons or the sun
- Lacking in courage; cowardly (used as an INSULT)
- verb
- To turn yellow, often due to being old
now
US / naʊ /
•UK / naʊ /
- adverb
- At the present time or moment
- Right away or in the next possible moment
- Used to refer to something that just happened
- Time between the present and a moment in the past
- conjunction
- Resulting from or because of something
vector
US / 'vektə(r) /
•UK / ˈvɛktɚ /
- noun
- Math a quantity that has both size and direction
inward
US / ˈɪnwəd /
•UK / ˈɪnwərd /
- adverb
- At the inside of
but
US / bət /
•UK / bʌt,bət /
- conjunction
- Used before you say something different, opposite
restate
US / ˌri:ˈsteɪt /
•UK / riˈstet /
- verb
- To repeat differently to ensure understanding
hat
US / hæt /
•UK / hæt /
- noun
- Item of clothing worn on your head
visualize
US / ˈvɪʒuəlaɪz /
•UK / ˈvɪʒuəˌlaɪz /
- verb
- To create a picture in your mind of something
outward
US / ˈaʊtwəd /
•UK / ˈaʊtwəd /
- adjecitve
- Going away from a place that will be returned to
- Seeming to be from the outside
- Concerning how something appears on the outside
can
US / kæn /
•UK / kən,kæn /
- noun
- A metal container for storing food
- other
- Able to; have the skill to; have the time to
- verb
- To have permission to
- To be possible to do
- To preserve food by sealing it in a metal container
want
US / wɔnt /
•UK / wɑnt, wɔnt /
- noun
- Something you desire or wish for
- State or condition of poverty
- verb
- To desire or wish for something; hope for a thing
video
US / 'vɪdɪəʊ /
•UK / ˈvɪdiˌo /
- adjecitve
- Of a moving film, with sound
- noun
- Recording capturing action with sound
- verb
- To make a moving film of, with sound
stoke
US / stəʊk /
•UK / stok /
- verb
- To add fuel or tend a fire to make it stronger
other
US / 'ʌðə(r) /
•UK / ˈʌðər /
- adjecitve
- A thing different from that mentioned
- determiner
- (Something) else; not the first (one)
- pronoun
- Being the one and only thing of that category
one
US / wʌn /
•UK / wʌn /
- pronoun
- You; we; people in general; someone
- The thing or person previously referred to
- adjecitve
- Used to refer to people generally
- Being a strong example of (something mentioned)
- number
- Number 1
surface
US / 'sɜ:fɪs /
•UK / ˈsɚfəs /
- adjecitve
- Of the top layer; not deep or meaningful
- noun
- Top layer of the ground or of water
- Nature or emotions that show, but may not be true
- Outside or upper layer of something
- verb
- To give (road) a top layer
- To appear after being hidden, unseen, or unknown
- To come to the top of something; emerge
- To come to the top level of water, mud, etc.
upside
US / ˈʌpsaɪd /
•UK / ˈʌpˌsaɪd /
- noun
- Above, over
- A positive aspect; advantage
this
US / ðɪs /
•UK / ðɪs /
- adjecitve
- Used to indicate something already been discussed
- Used to indicate something happening around now
- adverb
- An indication by a physical motion or gesture
- A specific amount of
- determiner
- Person, thing, or idea near you
- pronoun
- Person, thing that has already been discussed
you
US / jʊ /
•UK / ju /
- pronoun
- Person someone is speaking or writing to
- Person or people in general
sal
US / sæl /
•UK / sæl /
- noun
- A North Indian tree that yields hard, durable timber and dammar resin.
how
US / haʊ /
•UK / haʊ /
- adjecitve
- To what degree? in what amount?
- adverb
- (Used to explain the way to do something)
- exclamation
- For what purpose or reason?
- (Used to ask someone or something's condition)
kind
US / kaɪnd /
•UK / kaɪnd /
- adjecitve
- In a caring and helpful manner
- friendly and considerate
- noun
- One type of thing
also
US / 'ɔ:lsəʊ /
•UK / ˈɔlso /
- adverb
- In addition; too; in a similar way
bowl
US / bəʊl /
•UK / bol /
- noun
- Part of an object that has a rounded, inward curve
- Round container used for holding rice, soup etc.
- Round Building to watch sports events, concerts
- Low-lying land with higher ground around it
- verb
- To roll a ball in the sport of bowling
- To throw a ball in a game such as cricket
order
US / 'ɔ:də(r) /
•UK / ˈɔrdɚ /
- noun
- Religious or social group, as of nuns
- Instructions to others to do what you want
- State in which things are neat and organized
- What you ask to buy, e.g. food in restaurant
- Social or political control of an area
- verb
- To put things in a sequence, e.g. a, b, c
- To give instructions to others to do what you want
- To ask for something you want to buy, e.g. a meal
path
US / pɑ:θ /
•UK / pæθ, pɑθ /
- noun
- Method of living leading to a particular result
- Track made with stones, by walking over the ground
make
US / meɪk /
•UK / mek /
- noun
- Product made by a particular company; brand
- verb
- To arrange or prepare something e.g. dinner
- To get to (a place) on time
- To gain the status of (teacher, lawyer, etc.)
- To create something by putting things together
- To earn a certain amount of money at a job
- To cause or force a person to do something
- To cause something to happen or be formed
hill
US / hɪl /
•UK / hɪl /
- noun
- High land not as high as a mountain
- Where the road or land goes upward; slope
- Person's name
differently
US / 'dɪfrəntlɪ /
•UK / ˈdɪfərəntlɪ /
- adverb
- In another and different manner
the
US / ðə /
•UK / ðə /
- article
- Used to refer to something already mentioned
- Used to show there is only one of something
- determiner
- Used to describe all of a family
might
US / maɪt /
•UK / maɪt /
- other
- Used to politely request an action
- Used to express that something could happen
- Power, strength, force or influence
let
US / let /
•UK / lɛt /
- verb
- To allow someone to do something
- Introducing a suggestion to do something together
- To rent a house, etc. to others
little
US / 'lɪtl /
•UK / ˈlɪtl /
- adjecitve
- Being short in length of time
- Not great in size, amount, or degree; small
- Being very young or younger than others
- adverb
- By an amount or degree that is not very much
- Not often; rarely
- noun
- A person's name
big
US / bɪɡ /
•UK / bɪɡ /
- adjecitve
- Popular
- Serious
- Large
opposite
US / ˈɔpəzit /
•UK / ˈɑpəzɪt /
- adjecitve
- Being totally different from
- noun
- Person, thing that is totally different to another
- preposition
- Across from or on the side facing something
right
US / raɪt /
•UK / raɪt /
- adjecitve
- Correct or true
- The south side of you looking at the rising sun
- adverb
- Exactly in a place or time
- Being appropriate for a particular event
- In a straight or direct manner
- noun
- Something you are legally or morally allowed to do
- Ideal of what is just and good
- Political view based on conservatism
- verb
- To fix something previously wrong or unjust
- To make upright, as a boat that has turned over
essentially
US / ɪˈsenʃəli /
•UK / ɪˈsenʃəli /
- adverb
- Basically; (said when stating the basic facts)
type
US / taɪp /
•UK / taɪp /
- noun
- Printed letters or blocks used for printing them
- Group of things or people sharing common features
- verb
- To identify something belonging to a group
- To write by touching keys on a keyboard
boundary
US / 'baʊndrɪ /
•UK / ˈbaʊndəri, -dri /
- noun
- A division or border to separate two areas
then
US / ðen /
•UK / ðɛn /
- adverb
- A time that is not now
- Following another thing in time or arrangement
- Following on reasonably from what was just stated
- At that time, not now
down
US / daʊn /
•UK / daʊn /
- adjecitve
- Being sad, sick, or unhappy
- Not operating, working, or functioning as expected
- adverb
- In a sitting or lying position
- Towards or on the ground, floor, or bottom
- Written or copied onto a piece of paper or book
- noun
- A period of play in American Football
- The soft, smooth hairs that cover a bird's body
- preposition
- Along something's path, course, or direction
- Going from a higher position to a lower position
- verb
- To eat or drink very quickly and without stopping
each
US / i:tʃ /
•UK / itʃ /
- determiner
- Every one of two or more things
- pronoun
- Per one person or thing
what
US / wɒt /
•UK / hwɑt, hwʌt, wɔt, wʌt,hwət, wət /
- pronoun
- Thing or things that; the same kind as
- Used to emphasize something you are about to say
- adjecitve
- Used to refer to a particular amount, or number
- Used to place emphasis on a particular quality
- adverb
- To a certain degree
- determiner
- Question words used for asking for information
- exclamation
- Used to express excitement, shock, or surprise
- Used to ask people to repeat something they said
that
US / ðæt /
•UK / ðæt, ðət /
- adjecitve
- The person or thing being talked about
- Used to identify something both the speakers know
- adverb
- Used to reinforce adjectives and adverbs
- To such a degree
- conjunction
- Used to connect a noun clause
- Used to introduce an adverbial clause
- Used to introduce a noun clause
- determiner
- Used as a noun to refer to something
- pronoun
- Referring an object far away
- Used to refer to the relative pronoun ‘which’
like
US / laɪk /
•UK / laɪk /
- adjecitve
- Being equal in status or kind to something else
- Similar; the same
- adverb
- For example
- preposition
- Used as a filler; used to ad emphasis
- In a way similar to the way something is done
- Such as; for example
- verb
- To want to
- To find something pleasing; to prefer something
again
US / ə'ɡen /
•UK / əˈɡɛn /
- adverb
- One more time, once more
about
US / ə'baʊt /
•UK / əˈbaʊt /
- adverb
- To be ready to; going to
- Nearly; approximately; roughly
- Near; next to; close to
- In every direction; in the area of
- preposition
- Concerning or of (a topic)
hard
US / hɑ:d /
•UK / hɑː(r)d /
- adjecitve
- Difficult to do; difficult to understand
- (Of facts) not able to be misunderstood; clear
- (Of alcohol) strong
- Involving or requiring lots of work, effort, care
- Being full of pain, trouble, and problems
- Strong
- (Of edge) clear; sharp
- Difficult to bend, break or cut; solid
- adverb
- With lots of force, power, or impact
get
US / ɡet /
•UK / ɡɛt /
- verb
- To become affected by illness or disease
- To begin to feel or understand an emotion or idea
- To send or bring someone or something home, etc.
- To go somewhere to obtain something
- To (cause to) do a particular thing
- To obtain, receive or be given something
- To currently have
- To prepare for use
- To understand something being said or read
wear
US / weə(r) /
•UK / wer /
- noun
- Clothing designed for a purpose e.g. skiing
- Damage from continual use over a long period
- verb
- To have clothes, glasses, shoes etc. on your body
- To display an expression or emotion on the face
- To become weaker or damaged from continued use
could
US / kəd /
•UK / kʊd /
- other
- Past form of 'can' to mean have ability
- Used to ask for something politely, or to offer
have
US / həv /
•UK / hæv /
- verb
- To drink, smoke, eat or use something
- To experience the effects of something
- To organize an event, or join in an activity
- To own, possess, or hold something
- To cause to happen or produce a particular effect
with
US / wɪð /
•UK / wɪð, wɪθ /
- preposition
- As an employee of a certain company
- Against something or someone
- By using something as a means
- Due to; because of
- Including
- Possessing as a feature
- Related to
- (Of the manner/attitude by which you do something)
- Used to express that people or things are together
theorem
US / ˈθɪərəm /
•UK / ˈθiərəm, ˈθɪrəm /
- noun
- A statement that can be proved
mind
US / maɪnd /
•UK / maɪnd /
- noun
- One's opinion or way of thinking about something
- Part of humans that allows us to think or feel
- verb
- To be bothered or upset by something
- To take care of someone e.g. as a bodyguard
draw
US / drɔ: /
•UK / drɔ /
- noun
- Something that attracts people to visit a place
- A lottery or prize
- Result of a game, contest where the score is equal
- verb
- To attract attention to someone or something
- To get closer to or approach something or someone
- To influence a person's involvement in something
- To move an object by pulling
- To create an image using pen or pencil and paper
- To take one thing out of a container, etc.
- (Of 2 teams) to finish a game with the same score
dip
US / dɪp /
•UK / dɪp /
- noun
- Food or sauce eaten with crackers/raw vegetables
- Place on surface (e.g. a road) lower than the rest
- verb
- To decrease or lower temporarily
- To put something in and out of a liquid quickly
- To switch off or lower lights on a car
contour
US / 'kɒntʊə(r) /
•UK / ˈkɑnˌtʊr /
- noun
- Shape of the outside edge of a face, a hill, etc.
something
US / ˈsʌmθɪŋ /
•UK / ˈsʌmθɪŋ /
- adverb
- In some degree or measure
- noun
- a person or thing of some value or consequence
- pronoun
- Thing that is not yet known or named
- Approximately
keep
US / ki:p /
•UK / kip /
- noun
- Large, strong tower in the middle of a castle
- Money spent on you so you can live in a place
- verb
- To continue doing something; not to stop
- To stop balls going in a goal in sports
- To not give back or return something
- (Of food) to not spoil or not rot
- To take possession of something to own, e.g. a pet
- To have and continue to hold something
- To do something that you have promised or agreed
- To stay in a certain place or condition
- To maintain the rules
base
US / beɪs /
•UK / bes /
- noun
- Place military personnel live, train, and operate
- Bottom part of an object that touches a surface
- Unit of counting, e.g. 10 for counting
- Most important idea or ingredient to add others
- Origin or start from which something came
- Main place where an organization or a person works
- verb
- To use as the starting point or origin for
- To have as the main location for (company, etc.)
and
US / ənd /
•UK / ənd, ən,ænd /
- conjunction
- Used to refer to two or more things
- Plus; in addition; on top of that
- Used to introduce an action that follows another
two
US / tu: /
•UK / tu /
- number
- 2
put
US / pʊt /
•UK / pʊt /
- phrasal verb
- to make a light stop shining by pressing or moving a switch
- verb
- To move or place a thing in a particular position
- To rate something in importance or value
- To write or say something in a certain manner
over
US / 'əʊvə(r) /
•UK / ˈovɚ /
- adverb
- Finished; no longer happening
- Towards the ground/away from a standing position
- noun
- A set of six consecutive balls bowled in cricket
- other
- Finished
- preposition
- Showing the relation when a thing is above another
- On or covering something
- Above or across something
- More than you need
- From one side to the other
- In the direction of; toward
along
US / əˈlɒŋ /
•UK / əˈlɔ:ŋ /
- adverb
- As a companion; taken with someone
- preposition
- At a point on a line
leave
US / li:v /
•UK / liv /
- noun
- Permission to do something
- Vacation time; time off work
- verb
- To go away from; depart
- To gift property to someone after you die
- To allow something to continue happening
- To let something remain unused or available
- To let something or someone remain somewhere
think
US / θɪŋk /
•UK / θɪŋk /
- verb
- To have an idea about something without certainty
- To have an idea, opinion or belief about something
just
US / dʒʌst /
•UK / dʒʌst /
- adjecitve
- Proper or appropriate; as is deserved
- Doing or being what is right or fair
- Legally correct; having enough evidence
- adverb
- Almost; nearly
- Exactly at the time of
- Exactly (the same as, like)
head
US / hed /
•UK / hɛd /
- noun
- Counter for the number of cattle
- Natural mental ability or intelligence
- Leader or person with the greatest authority
- Mind; mental ability; mental state
- Side of a coin with a head on it
- Top part of your body with eyes and a mouth
- Starting point of something, e.g. a river
- verb
- To hit a ball with your head in a game
- To be first or at the front or top (e.g. a list)
- To travel or move toward a particular place; To go in a particular direction
- To become the leader of something
- To lead or be responsible for something
traverse
US / trəˈvɜ:s /
•UK / trəˈvɜ:rs /
- verb
- To pass across, over, or through
positive
US / ˈpɒzətɪv /
•UK / ˈpɑzɪtɪv /
- adjecitve
- Showing agreement or support for something
- Being sure about something; knowing the truth
- Having the charge produced by electrons
- Being good or useful
- Showing that a chemical is present in a test
clockwise
US / ˈklɒkwaɪz /
•UK / ˈklɑkˌwaɪz /
- adjecitve
- In the same direction as a clock's hands
those
US / ðəʊz /
•UK / ðoz /
- determiner
- The people or things we are talking about
- pronoun
- The objects far from the speaker
orient
US / 'ɔ:rɪənt /
•UK / ˈɔriənt, -ˌɛnt, ˈor- /
- noun
- Area comprising Asia
- verb
- To give information about something to newcomers
pop
US / pɒp /
•UK / pɑp /
- adjecitve
- Type of music or art popular with many people
- noun
- Sweet soda drink
- verb
- To cause something to open or burst suddenly
- To go to or in a place for a brief period of time
for
US / fə(r) /
•UK / fɔr,fə /
- preposition
- Used to show the purpose, or need of something
situation
US / ˌsɪtʃuˈeɪʃn /
•UK / ˌsɪtʃuˈeʃən /
- noun
- Place, position or area that something is in
- Circumstance or condition surrounding an event
- An unexpected problem or difficulty
both
US / bəuθ /
•UK / boθ /
- determiner
- Used to refer to two things at the same time
- pronoun
- Used to refer to two things at the same time
look
US / lʊk /
•UK / lʊk /
- noun
- Person's beauty or physical attractiveness
- Particular style of dress, clothes, or appearance
- The way someone, something appears to be
- Act of searching for or examining something
- verb
- To appear to be; seem
bit
US / bɪt /
•UK / bɪt /
- noun
- Device put in a horse's mouth to control it
- Small piece of something
- verb
- (E.g. of fish) to take bait and be caught
counterclockwise
US / ˌkaʊntəˈklɒkwaɪz /
•UK / ˌkaʊntərˈklɑ:kwaɪz /
- other
- In a direction opposite to the direction in which the hands of a clock move
- In the direction opposite to the rotation of the hands of a clock
way
US / weɪ /
•UK / we /
- adverb
- Used to emphasize the amount of something
- noun
- Particular aspect of something being thought about
- One of various choices that could be made
- Particular existing condition or state
- (Often long) distance or length of time
- How something is done
- Route to go to a place
- Small street
- Usual behavior, emotions or habits of someone
direction
US / də'rekʃn /
•UK / dɪˈrɛkʃən, daɪ- /
- noun
- When someone tells people what to do
- Describes the way you are going, e.g. North
orientation
US / ˌɔ:riənˈteɪʃn /
•UK / ˌɔriɛnˈteʃən, -ən-, ˌor- /
- noun
- Where you are in a location, e.g. facing east/west
- Process of giving information about something new
- A person's preferences, e.g. sexual preferences
top
US / tɒp /
•UK / tɑp /
- adjecitve
- Being good or great; excellent
- Being the most in degree or quality
- noun
- Item of clothing covering shoulders to waist, hips
- A cover or lid
- Part (e.g. road) that is the furthest away
- Highest or upper part or point of something
- Best or highest status or position
- Flat upper surface or edge of an object
- Child's toy that spins on its point
- Upper section or leaves of fruits and vegetables
- Winning in a sport or contest
- verb
- To be higher or larger than a specific value
- To arrive at the highest point of something
- To put a cover or layer or over something
- To kill; murder
- To hold the highest position on a list
- To be more important, successful or better than
- To beat someone or win at a game
correctly
US / kə'rektlɪ /
•UK / kəˈrɛktlɪ /
- adverb
- In an accurate or correct manner