Activities 105
Optional Exercise
Assuming the same initial velocity of 95 feet per second, find the angle
that the ball should be hit to achieve the greatest distance.
Visualizing Complex Zeros of a Cubic Polynomial
This activity describes graphing the complex zeros of a cubic polynomial.
Visualizing Complex Roots
Perform the following steps to expand the cubic polynomial
(xN1)(xNi)(x+i), find the absolute value of the function, graph the
modulus surface, and use the Trace tool to explore the modulus surface.
7. Display the
TABLE SETUP dialog box, and
change tblStart to 0 and @tbl to 0.1.
Note: Press 8 &.
8. Display the table in the left side and press D
to highlight
t=2.
Note: Press 8 '.
9. Switch to the right side. Press …, and trace
the graph to show the values of
xc and yc
when tc=2.
Note: As you move the trace cursor from
tc=0.0 to tc=3.1, you will see the position of
the ball at time tc.
1. On the Home screen, use the
expand( )
function to expand the cubic expression
(xN1)(xNi)(x+i) and see the first polynomial.
2. Copy and paste the last answer to the entry
line and store it in the function
f(x).
Note: Move the cursor into the history area
to highlight the last answer and press ¸,
to copy it to the entry line.
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