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
.
3.
Consider the sequences of functions fn: [-T, π] → R,
sin(n²x)
n(2)
n
(i) Find a function f : [-T, π] R such that fnf pointwise as
n∞. Further, show that f uniformly on [-T,π] as n→ ∞.
[20 Marks]
(ii) Does the sequence of derivatives f(x) has a pointwise limit on [-7,π]?
Justify your answer.
[10 Marks]
Good Day,
Please assist with the following.
Regards,
For each given function f(x) find f'(x) using the rules learned in section 9.5.
1. f(x)=x32
32x
2. f(x)=7x+13
3. f(x) =
x4
4. f(x) = √√x³
5. f(x) = 3x²+
3
x2
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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