Sketch 50 2
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Description :: All Functions
Enter an Equation using the variables x and/or y and an =, press Go:
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Description
It can plot an equation where x and y are related somehow (not just y=...), like these:
Examples:
- x^2+y^2=9 (an equation of a circle with a radius of 3)
- sin(x)+cos(y)=0.5
- 2x−3y=1
- cos(x^2)=y
- (x−3)(x+3)=y^2
- y=x^2
If you don't include an equals sign, it will assume you mean '=0'
It has not been well tested, so have fun with it, but don't trust it.
If it gives you problems, let me know.
Note: it may take a few seconds to finish, because it has to do lots of calculations.
If you just want to graph a function in 'y=...' style you may prefer Function Grapher and Calculator
Zooming
Use the zoom slider (to the left zooms in, to the right zooms out).
To reset the zoom to the original bounds click on the Reset button.
Dragging
Click-and-drag to move the graph around. If you just click-and-release (without dragging), then the spot you clicked on will be the new center
Note: the plots use computer calculations. Round-off can cause errors or values can be missed completely.
All Functions
Operators
| + | Addition operator |
|---|---|
| - | Subtraction operator |
| * | Multiplication operator |
| / | Division operator |
| ^ | Exponent (Power) operator |
Functions
| sqrt | Square Root of a value or expression. |
|---|---|
| sin | sine of a value or expression |
| cos | cosine of a value or expression |
| tan | tangent of a value or expression |
| asin | inverse sine (arcsine) of a value or expression |
| acos | inverse cosine (arccos) of a value or expression |
| atan | inverse tangent (arctangent) of a value or expression |
| sinh | Hyperbolic sine (sinh) of a value or expression |
| cosh | Hyperbolic cosine (cosh) of a value or expression |
| tanh | Hyperbolic tangent (tanh) of a value or expression |
| exp | e (the Euler Constant) raised to the power of a value or expression |
| ln | The natural logarithm of a value or expression |
| log | The base−10 logarithm of a value or expression |
| floor | Returns the largest (closest to positive infinity) value that is not greater than the argument and is equal to a mathematical integer. |
| ceil | Returns the smallest (closest to negative infinity) value that is not less than the argument and is equal to a mathematical integer. |
| round | Round to the nearest integer. Examples: round(−2.5) = −2, round(-0.1) = 0, round(0.1) = 0, round(2.5) = 3 |
| abs | Absolute value (distance from zero) of a value or expression |
| sign | Sign (+1 or −1) of a value or expression |
Constants
| pi | The constant π (3.141592654...) |
|---|---|
| e | Euler's number (2.71828...), the base for the natural logarithm |
Praline:(whistles a bit, then) Hello. I would like to buy a fish license, please.
Postal clerk: A what?
Praline: A license for my pet fish, Eric.
Clerk: How did you know my name was Eric?
Praline: No, no, no! My fish's name is Eric. Eric fish. He's an halibut.
Clerk: What?
Praline: He is an halibut.
Clerk: You've got a pet halibut?
Praline: Yes, I chose him out of thousands. I didn't like the others, they were all too flat.
Clerk: You must be a loony.
Praline: I am not a loony. Why should I be tarred with the epithet 'loony' merely because I have a pet halibut? I've heard tell that Sir Gerald Nabarro has a pet prawn called Simon - you wouldn't call him a loony! Furthermore Dawn Pathorpe, the lady showjumper, had a clam called Stafford, after the late chancellor. Alan Bullock has two pikes, both called Chris, and Marcel Proust had an 'addock! So if you're calling the author of 'A la recherche de temps perdu' a loony, I shall have to ask you to step outside!
Clerk: All right, all right, all right. A license?
Praline: Yes!
Clerk: For a fish.
Praline: Yes!
Clerk: You *are* a loony.
Praline: Look, it's a bleeding pet, isn't it? I've got a license for me pet dog Eric, I've got a license for me pet cat Eric.
Clerk: You don't need a license for your cat.
Praline: I bleedin' well do and I've got one! Can't be caught out there!
Clerk: There is no such thing as a bloody Cat license.
Praline: Yes there is.
Clerk: No there isn't.
Praline: Is!
Clerk: Isn't!
Praline: Is!
Clerk: Isn't!
Praline: Is!
Clerk: Isn't!
Praline: Is!
Clerk: Isn't!
Praline: Is!
Clerk: Isn't!
Praline: Is!
Clerk: Isn't!
Praline: What's that then?
Clerk: This is a dog license with the word 'dog' crossed out and 'cat' written in in crayon.
Praline: Man didn't have the right form.
Clerk: What man?
Praline: The man from the cat detector van.
Clerk: The loony detector van, you mean.
Praline: Look, it's people like you what cause unrest.
Clerk: What cat detector van?
Praline: The cat detector van from the Ministry of Housinge.
Clerk: Housinge?
Praline: It was spelt like that on the van. I'm very observant. I never seen so many bleedin' aerials. The man said their equipment could pinpoint a purr at four hundred yards, and Eric being such a happy cat was a piece of cake.
Clerk: How much did you pay for this?
Praline: Sixty quid and eight for the fruit-bat.
Clerk: What fruit-bat?
Praline: Eric the fruit-bat.
Clerk: Are all your pets called Eric?
Praline: There's nothing so odd about that. Kemel Attaturk had an entire menagerie called Abdul.
Clerk: No he didn't.
Praline: Did!
Clerk: Didn't!
Praline: Did, did, did, did, did and did!
Clerk: Oh all right.
Praline: Spoken like a gentleman, sir. Now, are you going to give me a fish license?
Clerk: I promise you that there is no such thing. You don't need one.
NB: The TV Version continues.....the album version continues below
Praline: Then I would like a statement to that effect signed by the Lord Mayor.
(Fanfare of trumpets. Mayor gorgeously dressed with dignitaries enters flanked by trumpeters.)
Clerk: You're in luck.
(In long shot now. The Mayor, who is nine foot high, and dignitaries approach a startled Praline. Organ music below a reverent voice over)
********** TV Version finishes - continuation of album version **********
Praline: In that case give me a bee license.
Clerk: A license for your pet bee.
Praline: Correct.
Clerk: Called Eric? Eric the bee?
Praline: No.
Clerk: No?
Praline: No, Eric the half bee. He had an accident.
Clerk: You're off your chump.
Praline: Look, if you intend by that utilization of an obscure colloquialism to imply that my sanity is not up to scratch, or even to deny the semi-existence of my little chum Eric the half bee, I shall have to ask you to listen to this. Take it away, Eric the orchestra-leader.
Singer: A one... two-- A one... two... three... four...
Sketch 50 2 Free
Praline (sings): Half a bee, philosophically,
Must, ipso facto, half not be.
But half the bee has got to be
Vis a vis, its entity. D'you see?
But can a bee be said to be
Or not to be an entire bee
When half the bee is not a bee
Due to some ancient injury?
Singing...
Chorus: La dee dee, one two three,
Eric the half a bee.
A B C D E F G,
Eric the half a bee.
Praline: Is this wretched demi-bee,
Half-asleep upon my knee,
Some freak from a menagerie?
No! It's Eric the half a bee!
Chorus: Fiddle de dum, Fiddle de dee,
Eric the half a bee.
Ho ho ho, tee hee hee,
Eric the half a bee.
Praline: I love this hive, employee-ee,
Bisected accidentally,
One summer afternoon by me,
I love him carnally.
Sketch 50 2 Movie
Chorus: He loves him carnally,
Semi-carnally.
Sketch 50 2020
Praline: The end.
Sketch 50 2019
Clerk: Cyril Connelly?
Praline: No; semi-carnally!
Clerk: Oh.
Chorus: Cyril Connelly. (whistling)