For Exercises 35-42, use the results of Exercises 27-30 and use the parameter t to write parametric equations representing the given curve. Answers may vary. Ellipse with center 0 , 0 , vertices 0 , ± 5 , and foci 0 , ± 4
For Exercises 35-42, use the results of Exercises 27-30 and use the parameter t to write parametric equations representing the given curve. Answers may vary. Ellipse with center 0 , 0 , vertices 0 , ± 5 , and foci 0 , ± 4
Solution Summary: The author explains the parametric equations of a curve to represent that the curve is an ellipse with center (0,0), vertices, and foci
For Exercises 35-42, use the results of Exercises 27-30 and use the parameter
t
to write parametric equations representing the given curve. Answers may vary.
Ellipse with center
0
,
0
,
vertices
0
,
±
5
,
and foci
0
,
±
4
1. A bicyclist is riding their bike along the Chicago Lakefront Trail. The velocity (in
feet per second) of the bicyclist is recorded below. Use (a) Simpson's Rule, and (b)
the Trapezoidal Rule to estimate the total distance the bicyclist traveled during the
8-second period.
t
0 2
4 6 8
V
10 15
12 10 16
2. Find the midpoint rule approximation for
(a) n = 4
+5
x²dx using n subintervals.
1° 2
(b) n = 8
36
32
28
36
32
28
24
24
20
20
16
16
12
8-
4
1
2
3
4
5
6
12
8
4
1
2
3
4
5
6
=
5 37
A 4 8 0.5
06
9
Consider the following system of equations, Ax=b :
x+2y+3z - w = 2
2x4z2w = 3
-x+6y+17z7w = 0
-9x-2y+13z7w = -14
a. Find the solution to the system. Write it as a parametric equation. You can use a
computer to do the row reduction.
b. What is a geometric description of the solution? Explain how you know.
c. Write the solution in vector form?
d. What is the solution to the homogeneous system, Ax=0?
Elementary Statistics: Picturing the World (7th Edition)
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