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Numerical analysis) Given a number, n, and an approximation for its square root, a closer approximation of the actual square root can be found by using this formula:
Using this information, write a C++
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Chapter 5 Solutions
C++ for Engineers and Scientists
- Overview One of the oldest methods for computing the square root e of a number is the Babylonian Method e. The Babylonian Method uses an iterative algorithm to make successively more accurate estimates of a number's square root. The algorithm stops iterating when the estimate shows no further sign of improvement, or when the estimate is within some acceptable margin of error. The acceptable margin of error is often called an epsilon. Assuming that you need to solve for the square root of x, the algorithm works as follows. 1. Choose an epsilon value that determines how close your solution should be to the actual square root value before you decide it is "good enough." Because this assignment asks you to solve for the square root to three decimal places, we can safely set the epsilon value to 0.0001 (four decimal places). This guarantees that our solution will be accurate to the precision we need to display to the screen. 2. Choose an initial estimate e for the square root of x. An easy…arrow_forwardCorrect answer will be upvoted else Multiple Downvoted. Computer science. Polycarp has a most loved arrangement a[1… n] comprising of n integers. He worked it out on the whiteboard as follows: he composed the number a1 to the left side (toward the start of the whiteboard); he composed the number a2 to the right side (toward the finish of the whiteboard); then, at that point, as far to the left as could really be expected (yet to the right from a1), he composed the number a3; then, at that point, as far to the right as could be expected (however to the left from a2), he composed the number a4; Polycarp kept on going about too, until he worked out the whole succession on the whiteboard. The start of the outcome appears as though this (obviously, if n≥4). For instance, assuming n=7 and a=[3,1,4,1,5,9,2], Polycarp will compose a grouping on the whiteboard [3,4,5,2,9,1,1]. You saw the grouping composed on the whiteboard and presently you need to reestablish…arrow_forward(2) For all integers n, if n² is odd, then n is odd. Student answer:arrow_forward
- 1 1 correct 1 1 correct 8 8 correct 80 370 8 correct 370 At least one of the answers above is NOT correct. (1 point) Fermat's "Little" Theorem states that whenver n is prime and a is an integer, an n-1 = 1 mod n 431 and n = 491, then efficiently compute a) If a = 431490 = 1 mod 491 b) If a = 204 and n = : 233, then efficiently compute . 204 204231 = 1 mod 233 Use the Extended Euclidean Algorithm to compute 204-¹ = 1 8 Then 2042318 c) If a mod 233. mod 233. = 807 and n = 881, then efficiently compute 807882 = 370 mod 881 incorrectarrow_forwardAnswer in JS onlyarrow_forwardمسئله ۱: حل مشكله التحسين الخطى التالية باستخدام طریقهٔ Large:M Max Z = x, +8x, Subject to (1) X, +3x, 56 2x, + x, = 8 X1, X, 20 نصائح: احصل على منطقة الإجابات المحتملة باستخدام طريقة الرسم. احصل أيضا على الإجابة وأجب عنها في بيئة برامج LINGO Python ,i Question 1: Solve the following linear optimization problem using the Large M methodarrow_forward
C++ for Engineers and ScientistsComputer ScienceISBN:9781133187844Author:Bronson, Gary J.Publisher:Course Technology Ptr
EBK JAVA PROGRAMMINGComputer ScienceISBN:9781337671385Author:FARRELLPublisher:CENGAGE LEARNING - CONSIGNMENT