Name:________________________________
MAT 517

HW 6                                                 Due:
T, 8-4                                                                         Summer
2009

1. Find the equation of the circle which passes through the points
( - 5 , 0 ), ( 1 , 0 ), ( - 2 , - 3 ).

a) Show the 3 equations with variables C, D and E.

b) Show the standard matrix.

c) Show the augmented matrix.

d) Show the standard form.

e) Complete the square to get general form.

2. Find the area of the triangle passing through the points
( 0 , - 5 ), ( 2 , 10 ), ( - 4 , - 1 ) using determinants. Calculate the
determinant by hand, showing all work. Check on your calculator.

3. a) If a, b and c represent the
three sides of a triangle, then its area is given by Heron’s Formula:  where. Use this formula to write a program that finds the area of
a triangle from its three sides. You should have prompts and inputs for the
lengths of the three sides. Finally, the area of the triangle should be
displayed.

b) Use it to calculate the area of a triangle with
sides:     i) 20, 21,
29            ii) 13, 14, 15

4. List the output produced by the given program segment.

a) : 3 ® A                                           b)
: -1 ®
A                              c)
: 3 ®
A

: 5
®
B                                                : 2 ® B                                    : 4 ® B

: A
+ B ®
A                                        : 3 ® C                                   : A2 – B ®
X

: A
– B ®
B                                        : 2A + B – C ® X
: “X2 – 2x + 4” ® Y1

: A
– B ®
A
: X2  – 3X +
7 ®
Y                   : Disp Y1(X)

:
Disp “A=”,A
:Disp “Y(X)=”,Y