Videos
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++
Want to see the full answer?
Check out a sample textbook solution
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
- t The determinant of matrix bellow is 0.2 0.2] 0.2 0.4 0.3 3 -0.4 0.2 0.3 4 O 0.002 O -0.002 O 1 O -0.054 O 0.054 O о оarrow_forwardAnswer the following questions using the simplest possible Θ notation. Assume that f(n) is Θ(1) for constant values of n.arrow_forwardWrite a program that computes the following: sigma summation i=0 to N (i^3 +2N)arrow_forward
- T(n) = 2T(n¹/²) +r n O Case 1 O Case 2 Case 3 The master theorem does not applyarrow_forwardSuppose n is a positive integer.arrow_forward= = 2×2 and 6 = (a) A composite number is a positive integer that has at least one divisor other than 1 and itself. For example, 2 1×2 is not a composite number but 4 2 × 3 are composite numbers. A logic circuit has four binary input variables, A, B, C and D. The output Z of the logic circuit is 1 if the unsigned integer represented by the binary number ABCD is a composite number. Using variables A and B for the select inputs S1 and S0 of a 4-to-1 multiplexer, implement the logic function Z(A, B, C, D) using this multiplexor and other logic gates.arrow_forward
- Computer Science Use summation to get the tight bound for following: func(j) | // j is a positive integer a = 0 for i = 1 to j a = a+1 for k = 1 to 3 a = a * a return aarrow_forwardGiven f(x) = (1+cos(x))^(1/3) a. calculate left end riemann sum using python b. calculate right end riemann sum using pythonarrow_forwardn is in O(n) true or falsearrow_forward
EBK JAVA PROGRAMMINGComputer ScienceISBN:9781337671385Author:FARRELLPublisher:CENGAGE LEARNING - CONSIGNMENT