For Exercises 33-48, solve the system if possible by using Cramer's rule. If Cramer's rule does not apply, solve the system by using another method. (See Examples 6-8) 5 x + y = 7 x + 4 4 x = 10 y − 8
For Exercises 33-48, solve the system if possible by using Cramer's rule. If Cramer's rule does not apply, solve the system by using another method. (See Examples 6-8) 5 x + y = 7 x + 4 4 x = 10 y − 8
Solution Summary: The author calculates the solution of the system 5(x+y)=7x +4and4x=10y-8 using Cramer’s rule.
For Exercises 33-48, solve the system if possible by using Cramer's rule. If Cramer's rule does not apply, solve the system by using another method. (See Examples 6-8)
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?
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
HOW TO FIND DETERMINANT OF 2X2 & 3X3 MATRICES?/MATRICES AND DETERMINANTS CLASS XII 12 CBSE; Author: Neha Agrawal Mathematically Inclined;https://www.youtube.com/watch?v=bnaKGsLYJvQ;License: Standard YouTube License, CC-BY