For Exercises 5-8, determine if the ordered triple is a solution to the system of equations. (See Example 1) − x + 3 y − 7 z = 7 2 x + 4 y + z = 16 3 x − 5 y + 6 z = − 9 a . 2 , 3 , 0 b . − 2 , 4 , 1
For Exercises 5-8, determine if the ordered triple is a solution to the system of equations. (See Example 1) − x + 3 y − 7 z = 7 2 x + 4 y + z = 16 3 x − 5 y + 6 z = − 9 a . 2 , 3 , 0 b . − 2 , 4 , 1
Solution Summary: The author evaluates whether the ordered triple is a solution to the system given below.
Calculus III
May I please have some elaborations on Example 2 part a? Thank you.
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
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