The conventional algorithm for evaluating a polynomial anx" + an-1x"-1 + .…. + a¡x+ ao at x = c can be expressed in pseudocode by procedure polynomial(c, ao, a1, .., an : real numbers) power := 1 y := ao for i := 1 to n power := power * c y :=y+ a¡ * power return y(y 3Dа,с" + а,-1c"- +... + ajc + do } where the final value of y is the value of the polynomial at x = c. a) Evaluate 3x² +x+1 at x = 2 by working through each step of the algorithm showing the values assigned at each assignment step. b) Exactly how many multiplications and additions are used to evaluate a polynomial of degree n at x = c? (Do not count additions used to increment the loop variable.)

Computer Networking: A Top-Down Approach (7th Edition)
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ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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13. The conventional algorithm for evaluating a polynomial anx" + an-1x"-1 + .… + a¡x+ ao at x = c can be expressed in pseudocode
by
procedure polуnоmial(c, ao, ај,..., а, : real numbers)
power := 1
y := ao
for i := 1 to n
power := power * c
y := y + a; * power
return y{y = a„c" + an-1C"
cn-1
+ ... + ajc + ao}
where the final value of y is the value of the polynomial at x = c.
a) Evaluate 3x² +x+1 at x = 2 by working through each step of the algorithm showing the values assigned at each assignment step.
b) Exactly how many multiplications and additions are used to evaluate a polynomial of degree n at x = c? (Do not count additions
used to increment the loop variable.)
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Transcribed Image Text:Q Search the web.. f a D : New Tab Type here to search + Converter c Search Te x Bb Announc x O Post Att O W10C1H b Answere X a Amazon. (15) Algo x - Payin' It x E Class MA X M MHE Rea x A https://player-ui.mheducation.com/#/epub/sn_fdab#epubcfi(%2F6%2F118%5Bdata-uuid-e3b255aed4f44fc1bb.. * Sign in ... 13. The conventional algorithm for evaluating a polynomial anx" + an-1x"-1 + .… + a¡x+ ao at x = c can be expressed in pseudocode by procedure polуnоmial(c, ao, ај,..., а, : real numbers) power := 1 y := ao for i := 1 to n power := power * c y := y + a; * power return y{y = a„c" + an-1C" cn-1 + ... + ajc + ao} where the final value of y is the value of the polynomial at x = c. a) Evaluate 3x² +x+1 at x = 2 by working through each step of the algorithm showing the values assigned at each assignment step. b) Exactly how many multiplications and additions are used to evaluate a polynomial of degree n at x = c? (Do not count additions used to increment the loop variable.) 3:30 PM P Type here to search Address 11/5/2020
Q Search the web..
f a D :
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Type here to search
+
Converter
C Search T
ВЫ Announc х
O Post Atte
O W10C1H x
b Answere x
a Amazon
O (15) Algo x
O Hurr
E Class MA X
M MHE Rea x
A https://player-ui.mheducation.com/#/epub/sn_fdab#epubcfi(%2F6%2F118%5Bdata-uuid-e3b255aed4f44fc1bb.
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16. What is the largest n for which one can solve within a day using an algorithm that requires f (n) bit operations, where each bit
operation is carried out in 10-1l seconds, with these functions f (n)?
a) log n
b) 1000n
c) n2
d) 1000n²
e) n3
f) 2"
g) 22n
h) 22"
17. What is the largest n for which one can solve within a minute using an algorithm that requires f (n) bit operations, where each bit
operation is carried out in 1012 seconds, with these functions f (n)?
a) log log n
b) log n
c) (log n)²
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Transcribed Image Text:Q Search the web.. f a D : New Tab Type here to search + Converter C Search T ВЫ Announc х O Post Atte O W10C1H x b Answere x a Amazon O (15) Algo x O Hurr E Class MA X M MHE Rea x A https://player-ui.mheducation.com/#/epub/sn_fdab#epubcfi(%2F6%2F118%5Bdata-uuid-e3b255aed4f44fc1bb. Sign in ... 16. What is the largest n for which one can solve within a day using an algorithm that requires f (n) bit operations, where each bit operation is carried out in 10-1l seconds, with these functions f (n)? a) log n b) 1000n c) n2 d) 1000n² e) n3 f) 2" g) 22n h) 22" 17. What is the largest n for which one can solve within a minute using an algorithm that requires f (n) bit operations, where each bit operation is carried out in 1012 seconds, with these functions f (n)? a) log log n b) log n c) (log n)² 3:31 PM P Type here to search Address 11/5/2020 近
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