   Chapter 13.1, Problem 1CP ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# For the interval (0, 2]. determine whether the following statements are true or false.(a) For 4 subintervals, each subinterval has width 1 2 .(b) For 200 subintervals, each subinterval has width 1 100 .(c) For n subintervals, each subinterval has width 2 n .(d) For n subintervals, x 0 = 0 ,   x 1 = 2 n ,   x 2 = 2 ( 2 n ) ,   .   .   . ,   x i = i ( 2 n ) ,   .   .   . ,   x n = 2 . (a)

To determine

Whether the statement “For 4 subintervals, each subinterval has width 12” is true or false where the interval is [0,2].

Explanation

Given Information:

The provided interval is [0,2].

Consider the interval [0,2].

The width of n subintervals is ban where the interval is [a,b].

Since, there are 4 subintervals on the interval [0,2].

Thus, n=4, a=0 and b=2

(b)

To determine

Whether the statement “For 200 subintervals, each subinterval has width 1200” is true or false where the interval is [0,2].

(c)

To determine

Whether the statement “For n subintervals, each subinterval has width 2n” is true or false where the interval is [0,2].

(d)

To determine

Whether the statement “For n subintervals, x0=0, x1=2n, x2=2(2n), , xi=i(2n), , xn=2” is true or false where the interval is [0,2].

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