hp40g+.book Page 17 Friday, December 9, 2005 1:03 AM

 

Then press

to

 

 

 

 

 

produce the result at the

 

 

 

right:

 

 

 

 

In other words,

 

 

 

 

y(–t) = –y(t) .

 

 

 

 

 

 

 

 

If M1(x(t),y(t))

is part of Γ , then Mx(x(–t),y(–t))is also

 

part of Γ .

 

 

 

 

Since M1and M2 are symmetrical with respect to the x-

 

axis, we can deduce that the x-axis is an axis of symmetry

 

for Γ .

 

 

 

Part 3

Calculate x′(t)

by typing:

DERVX

X

t. Press to highlight the expression.

Pressing returns the result at the right:

Press to simplify the result:

You can now define the function x′(t) by invoking DEF.

Note: You will first need to type =X1(t) then exchange

X1(t) with the previous expression.

To do this, highlight X1(t)

and type .

Now select the entire expression and apply the DEF command to it:

Finally press to finish the definition.

Step-by-Step Examples

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