# Ilap; Image; Int - HP 48gII Advanced User's Reference Manual

Graphing calculator.

Level 1/Item 3: b.
Note the order, c is first.
Flags:
Exact mode must be set (flag –105 clear).
Numeric mode must not be set (flag -3 clear).
Radians mode must be set (flag –17 set).
Example:
Find a, b and c such that a18 + b24 = c, where c is the GCD of 18 and 24.
Command:
IEGCD(18,24)
Result:
{6,-1,1}
ABCUV, EGCD, IABCUV

## ILAP

Type:
Function
Description:
Returns the inverse Laplace transform of an expression. The expression must evaluate to a
rational fraction.
Calculus, !Ö
Access:
Input:
A rational expression.
Output:
The inverse Laplace transformation of the expression.
Flags:
Exact mode must be set (flag –105 clear).
Numeric mode must not be set (flag -3 clear).
Radians mode must be set (flag –17 set).
Example:
Find the inverse Laplace transform of:
Command:
ILAP(1/(X-5)^2)
Result:
X*EXP(5*X)
LAP, LAPL

### IMAGE

Type:
Command
Description:
Computes the basis of the image (also called the range) of a linear application
Matrices, !Ø
Access:
Input:
A matrix representing a linear application
Output:
A list of vectors representing a basis of the image of
Flags:
Exact mode must be set (flag –105 clear).
Numeric mode must not be set (flag -3 clear).
Example:
Find the image of
Command:
IMAGE([1,1,2] [2,1,3] [3,1,4])
Result:
{[1,0,-1] [0,1,2]}
BASIS, KER

### INT

Type:
Function
Description:
Calculates the antiderivative of a function for a given variable, at a given point.
Catalog, ...µ
Access:
DIFFERENTIAL EQNS
1
------------------ -
x 5
LINEAR APPL
in terms of the standard basis.
f
1 1 2
2 1 3
3 1 4
2
f.
Computer Algebra Commands 4-41
.
f