NUEVA ECIJA UNIVERSITY OF SCIENCE AND TECHNOLOGY COLLEGE OF ENGINEERING Civil Engineering Department CE 323- Numerical Solutions to CE Problems Name: Score: Year & Section: I. Find the Taylor series (5 terms) & interval of convergence of the following functions. II. Bisection method. Multiple choice. III. Determine the positive real root of the following equations using Newton Method. Repeat iterations until 𝑓(𝑐) ≈ 0.001 1. f(x)=-25+82x-90x^2+44x^3-8x^4+0.75x^5 2. f(x)=-12-21x+18x^2-2.75x^3 (between 4 & 6) IV. Application. Use Newton-Raphson Method. 1. The volume of liquid a spherical tank can hold can be computed as If R = 3 m, to what depth must the tank be filled so that it holds 30 m^3? Prepared by: Engr. Rustom Renz B. Nuñez