2-7-13

Using the Action Menu

utaylor

Function: Finds a Taylor polynomial for an expression with respect to a specific variable.

Syntax: taylor (Exp/List, variable, order [,center point] [ ) ]

Example: To find a 5th order Taylor polynomial for sin(x) with respect to x = 0 (in the Radian mode)

Menu Item: [Action][Calculation][taylor]

• Zero is the default when you omit “[,center point]”.

utanLine

Function: Returns the right side of the equation for the tangent line (y = ‘expression’) to the curve at the specified point.

Syntax: tanLine (Exp/List, variable, variable value at point of tangency [ ) ]

Example: To determine the function of the line tangent to y = x3 at x = 2

Menu Item: [Action][Calculation][tanLine]

unormal

Function: Returns the right side of the equation for the line normal (y = ‘expression’) to the curve at the specified point.

Syntax: normal (Exp/List, variable, variable value at point of normal [ ) ]

Example: To determine the function of the line normal to y = x3 at x = 2

Menu Item: [Action][Calculation][normal]

uarcLen

Function: Returns the arc length of an expression from a start value to an end value with respect to a specified variable.

Syntax: arcLen (Exp/List, variable, start value, end value [ ) ]

3

Example: To determine the arc length for y = x from x = 0 to x = 4

2

Menu Item: [Action][Calculation][arcLen]

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