The strain S on a solid object depends on the external tension force F (in Newtons) acting on the solid and on the cross-sectional area A (in m2) according to the model S = 5 × 10 − 6 · F A Find the strain for a rod with a cross-sectional area of 8.75 × 10 − 3 m 2 and a tension force of 2.45 × 10 5 N .
The strain S on a solid object depends on the external tension force F (in Newtons) acting on the solid and on the cross-sectional area A (in m2) according to the model S = 5 × 10 − 6 · F A Find the strain for a rod with a cross-sectional area of 8.75 × 10 − 3 m 2 and a tension force of 2.45 × 10 5 N .
Solution Summary: The author explains the strain for a rod with cross sectional area of 8.75times 10-3m
The strain
S
on a solid object depends on the external tension force
F
(in Newtons) acting on the solid and on the cross-sectional area
A
(in m2) according to the model
S
=
5
×
10
−
6
·
F
A
Find the strain for a rod with a cross-sectional area of
8.75
×
10
−
3
m
2
and a tension force of
2.45
×
10
5
N
.
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?
Chapter 4 Solutions
Mylab Math With Pearson Etext -- Standalone Access Card -- For Precalculus (11th Edition)
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Area Between The Curve Problem No 1 - Applications Of Definite Integration - Diploma Maths II; Author: Ekeeda;https://www.youtube.com/watch?v=q3ZU0GnGaxA;License: Standard YouTube License, CC-BY