Concept explainers
Polynomial interpolation consists of determining the unique
where the p's are constant coefficients. A straight forward way for computing the coefficients is to generate n
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Chapter 10 Solutions
EBK NUMERICAL METHODS FOR ENGINEERS
- Case study: Roots of equation (use any method under finding roots of equation) Problem: Mechanical engineers, as well as most other engineers, use thermodynamics extensively in their work. The following polynomial can be used to relate the zero-pressure specific heat of dry air, cp kJ/(kg K), to temperature (K): C, = 0.99403 + 1.671 × 10 *T + 9.7215 × 10 *7² -9.5838 × 10 "T³ + 1.9520 × 10¯Upt Determine the temperature that corresponds to a specific heat of 1.2 kJ/[kg K).arrow_forwardEx=A/X The formula defines: Select one: 1. Relative Error 2. Reduced Error 3. Absolute Errorarrow_forwardAn integer is chosen at random from the first 100 positive integers. Find the probability that the chosen integer is Multiple of 10: (a) 99/100 (b) 0 (c) 10 (d) 1/10arrow_forward
- An industrial company has factories and distribution centers and is considering finding a location for its third plant and you have the following information: Number of Cost (ka) per charged Current facilities Coordinates units charged unit S.A. S.A. Н.А К.А. Factory 1 (M1) 20 30 755 1 dinar Factory II (M2) 10 40 900 1 dinar First Distribution Center 30 50 450 1 dinar (T1) Distribution Center I| 40 60 500 1 dinar (Т2) Required: Locate the third factory using the simple broker model and calculate the total associated costs?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_forwardFind the value of the variables a and b of the given linear equation below. a + b= 2 2a + b = 1 За + 2b %3D 3arrow_forward
- Consider a Hermit curve in the xy plane defined by the following geometric coefficient: a) Find a Bezier curve of degree 3 that represents the given Hermit curve as exactly as possible. In other words, determine the four control points of the Bezier curve. b) Expand both of the curve equations in polynomial form and compare them. 2 4 ܟ ܢܝ ܚܝܐ 31 Po 0 P₁ 2 Po -4¹ P₁arrow_forwardKinetic energy of a fluid flow can be computed by pv - vdV, where p(r, y, z) and v(z, y, z) are the pointwise fluid density and velocity, respectively. Fluid with uniform density 9. flows in the domain bounded by z + 2 9 and 0arrow_forwardPartII Say you've deployed a robot that can can measure electric field due to specified charge at the specified location with good accuracy. And you got these results from the robot: Electric field due to q2 at point p1 is (-1667.0) i + (18340.0) j Electric field due to q3 at point p1 is (-2496.0) i + (–1628.0) j Electric field due to q1 at point p2 is (-6311.0) î + (2470.0) } Electric field due to q2 at point p2 is (-11585.0) î + (–6951.0) ĵ Electric field due to q3 at point p2 is (4657.0) î + (11310.0) } c) Find the net Electric field at pj .arrow_forwardThe general solution to an inhomogeneous second order differential equation is: y = Aem + Ben + ax? + bæ + c 2. where m = 2.1 n = 1.3 a = 2.3 b = 1.3 c= 2.3 with initial conditions y = 2.6 and dy/dx = 2.2 when x = 0 %3D Find the value of A. Give your answer to three decimal places.arrow_forward* :Q4/B/ the value of X-bar is 0.987 1.5 2 2.5 2.5 O 2.5 X 0.398 O 2.5 2.5 0.857 0.55 0.254 0.5 0.487 1.06 0.65arrow_forwardYou are the mechatronics engineer of a manufacturing plant. You decide to perform an analysis on a robot arm of the assembly line with the objective of optimizing its performance. After taking several readings of the speed of the arm’s end effector, you approximate its velocity to the function given below. v(t) = -t4 + 5t3 - 7t2 + 3t + 0.22 0 =< t =< 3 where the velocity is in ms-1 d) Knowing that the distance travelled by an object is the area under its velocity-time graph, determine the distance travelled by the end effector on the interval 0 =< t =< 1 by using the mid-ordinate rule. Simpson’s rule correct to 3 decimal places using four intervals. e) Calculate the same distance as in (d) above by using the appropriate definite integral. f) Compare the distances you calculated in (d) and (e) above and comment on the accuracy of the two methods you used in (d)arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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