a. For each of the following inputs, find the corresponding output: (1,9), (7,3), (3,7), (√5.√5). The output for (1,9) is The output for (7,3) is The output for (3,7) is The output for (√5,√5) is b. Find the set of all inputs for which the output is 14. O A. ((0,7), (1,6), (2,5), (3,4), (4,3), (5,2), (6,1), (7,0)) O B. ((0,7), (1,6), (2,5), (3,4))
a. For each of the following inputs, find the corresponding output: (1,9), (7,3), (3,7), (√5.√5). The output for (1,9) is The output for (7,3) is The output for (3,7) is The output for (√5,√5) is b. Find the set of all inputs for which the output is 14. O A. ((0,7), (1,6), (2,5), (3,4), (4,3), (5,2), (6,1), (7,0)) O B. ((0,7), (1,6), (2,5), (3,4))
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Transcribed Image Text:Consider a function machine that accepts inputs as ordered pairs.
Suppose the components of the ordered pairs are positive real
numbers and the first component is the length of a rectangle and the
second is its width. The machine computes the perimeter (the
distance around a figure) of the rectangle. Thus, for a rectangle
whose length, L, is 3 and whose width, W, is 2, the input is (3,2) and
the output is 2.3+2.2, or 10. Complete parts (a) through (c)
below.
L, W)
Y
O A. {(0,7), (1,6), (2,5), (3,4), (4,3), (5,2), (6,1), (7,0))
O B. ((0,7), (1,6), (2,5), (3,4)}
O C. {(1,6), (2,5), (3,4), (4,3), (5,2), (6,1))
O D. {(1,6), (2,5), (3,4)}
c. What is the domain and range of the function?
2L + 2W
a. For each of the following inputs, find the corresponding output: (1,9), (7,3), (3,7), (√5,√5).
The output for (1,9) is
The output for (7,3) is
The output for (3,7) is
The output for (√5,√5) is
b. Find the set of all inputs for which the output is 14.
O A. The domain of the function is R* XR* and the range is R*.
O B. The domain and range cannot be reasonably determined because the real life limit of the size of the
rectangle cannot be determined.
O C. The domain of the function is the set of ordered pairs such that the sum of the coordinates is even.
The range is all even numbers.
O D. The domain and range of the function are all real numbers.
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