2-4-10

Function Calculations

The “piecewise” function returns one value when an expression is true, and another value when the expression is false.

The syntax of the “piecewise” function is shown below.

piecewise(<condition expression>, <return value when true>, <return value when false or indeterminate>[ ) ]

or

piecewise(<condition expression>, <return value when true>, <return value when false>, <return value when indeterminate>[ ) ]

Problem

Use this keyboard:

 

Operation

 

 

 

 

mth

abc

cat

2D

 

 

 

 

 

 

 

 

 

 

For the expression

 

 

Func

 

[piecewise] 0

X,1,

0 < x (x = variable), return 1

 

 

 

 

2 ,0 w

 

when x is greater than 0,

 

 

 

 

 

 

2 when x is 0 or less, and 0

 

 

 

 

 

 

when x is undefined.

 

 

 

 

 

 

 

 

 

 

 

 

 

kAngle Symbol (∠)

Use this symbol to specify the coordinate format required by an angle in a vector. You can use this symbol for a vector only.

Problem

 

Use this keyboard:

 

Operation

 

 

 

 

 

 

mth

abc

cat

2D

 

 

 

 

 

 

 

 

 

 

Convert the polar

 

OPTN

 

Func

 

Change the [Angle] setting to

coordinates r = 2,

 

 

 

 

 

“Radian”.

θ = π /4 to rectangular

 

 

 

 

 

[toRect] [9 2 ),

coordinates.

[1, 1]

 

 

 

 

7/4 )]w

 

 

 

 

 

 

 

kDerivative Symbol (’)

A single derivative symbol indicates the first derivative of an equation in the format: <variable name>’.

Problem

Use this keyboard:

 

Operation

 

 

 

 

mth

abc

cat

2D

 

 

 

 

 

 

 

 

Solve the differential

CALC

SMBL

Cmd

 

[dSolve] Y =X,X

equation y’ = x.

 

 

 

 

,Yw

{y = 0.5 · x2 + const (1)}

 

 

 

 

 

 

 

 

 

 

 

20050501