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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_forwardFor any integer n > 0, n! is defined as the product n * n - 1 * n - 2 ... * 2 * 1 0! is defined to be 1. It is sometimes useful to have a closed- form definition instead; for this purpose, an approximation can be used. R. W. Gosper proposed the following such approximation formula:arrow_forwardt 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_forward
- Suppose 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_forwardAnswer the following questions using the simplest possible Θ notation. Assume that f(n) is Θ(1) for constant values of n.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_forwardn is in O(n) true or falsearrow_forwardGiven f(x) = (1+cos(x))^(1/3) a. calculate left end riemann sum using python b. calculate right end riemann sum using pythonarrow_forward
EBK JAVA PROGRAMMINGComputer ScienceISBN:9781337671385Author:FARRELLPublisher:CENGAGE LEARNING - CONSIGNMENT