Elementary Differential Equations
10th Edition
ISBN: 9780470458327
Author: William E. Boyce, Richard C. DiPrima
Publisher: Wiley, John & Sons, Incorporated
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Let $f(x)$ be a continuous function on the interval $[0,1]$ such that $f(0) = f(1) = 0$. Prove that for any positive integer $n$, there exists a real number $x$ in $[0, 1 - \frac{1}{n}]$ such that $f(x) = f(x + \frac{1}{n})$.
K/FT
イ
5
SLOPE
AB
TB3.3
C
15
TROY
16.7
y
Yo 13.3
GIVEN: BEAM +
LOADING
DRAW V+H
SOLUTION:
DIAGRAMS
1) FIND REACTIONS
R=14/15 (20)
= 20k
(@EMB=20F (5) - Roy(15)
RRY = 6.7k
EFу=0= 20+67+RBY
RBY = 13.3k+
5
6.7
ro
Question 1: (10 points) Determine whether the following Realation is an Equivalent
Relation or not, and show the reason for your answer.
If A={1,0}
R= {(1,1), (0,0), (1,0), (0,1)}
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