An interval polynomial is of the form
with its coefficients belonging to intervals
Use Kharitonov’s theorem and the Routh-Hurwitz criterion to find if the following polynomial has any zeros in the right half-plane.
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- The natural exponential function can be expressed by . Determine e2by calculating the sum of the series for:(a) n = 5, (b) n = 15, (c) n = 25For each part create a vector n in which the first element is 0, the incrementis 1, and the last term is 5, 15, or 25. Then use element-by-element calculations to create a vector in which the elements are . Finally, use the MATLAB built-in function sum to add the terms of the series. Compare thevalues obtained in parts (a), (b), and (c) with the value of e2calculated byMATLAB.arrow_forwardConsider the mass matrix, 4.00 0.00 0.00 M= 0.00 2.00 0.00 0.00 0.00 1.00 Matrix M is None 2.00 0.00 0.00 M12= 0.00 1.41 0.00 0.00 0.00 1.00 0.30 0.00 0.00 M-1/2=0.00 0.42 0.00 0.00 0.00 0.60) 1.56 0.00 0.00 M-1/2= 0.00 1.10 0.00 0.00 0.00 0.78 0.50 0.00 0.00 M12-0.00 0.71 0.00 0.00 0.00 1.00arrow_forwardVariable Separable and Homogeneous Functionarrow_forward
- 3. List the truth table of the function F = xy + xy' + y'zarrow_forwardConsider the following linear equations,arrow_forwardTHEOREM 1.39 = "Every nondeterministic finite automaton has an equivalent deterministic finite automaton." Use the construction given in Theorem 1.39 to convert the following two nondeterministic finite automata to equivalent deterministic finite automata. a 1 2 а,b a Please Show your work (including intermediate results).arrow_forward
- 1. Three springs, A, B and C, are connected as shown below, with one end of A and C attached to rigid supports. All springs are interconnected by a light, inextensible bar that is constrained from rotating. Also, forces of 250 N and 175 N are applied to the springs as shown. The stiffness of A, B and C are 100, 150 and 200 N/mm, respectively. By modelling each spring as a linear simplex finite element, determine: (a) (b) (c) the global assembly the elongation of the springs the reactions at the supports (Ans: (b) u, = 1.417 mm, u, = 1.667 mm, uc = 11.417 mm (c) Ren = 141.67 N, left, Riaht = 283.33 N, left) B 250 N wwww-→ A 175 Narrow_forwardSolve the following initial value problem by the method of Laplace Transformarrow_forwardFree-form curves are always represented by parametric polynomial equations. O true O falsearrow_forward
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