3.The region of experimentation for two factors are temperature (100 ≤T≤300°F) and catalyst feed rate (10≤C ≤30 lb/h). A first order model in the usual ± 1 coded variables has been fit to a molecular weightresponse, yielding the following model.Iy=2000+125x₁ +40x2(a) Find the path of steepest ascent.(b) It is desired to move to a region where molecular weights are above 2500. Based on the informationyou have from the experimentation in this region, about how many steps along the path of steepestascent might be required to move to the region of interest?

Answered: Image /qna-images/answer/0b67298d-573f-43f7-8693-fab6e72ed1c0.jpg

Answered: 3. The region of experimentation for…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Obtain characteristics for y2 Uxx + Uyy = %3D
Draw the phase portraits of the following linear systems and justify the choice of the direction of trajectories. (4.1) * = ( 13 1³ ) *. X, -3 (4.2) = *-(34)x X.
4. Final: A filling process is supposed to fill jars with 16 ounces of grape jelly. Specifications state that each jar must contain between 15 95 ounces and 16.05 ounces. A jai is selected from the process every half hour until a sample of 100 jars is obtained When the fills of the jars are measured, it is found that x (xbar) = 16.0024 ands = .02454. Using x (xbar) and s as point estimates of u (meu) and a (sigma). estimate the probability that a randomly selected jar will have a fill, x, and that is less than minimum reading Assume that the process is in contiol and that the population of all jar fills is normally distributed. O a. .0391 O b. .0411 O c.0229 O d. .0166 O e. None of the above 1) HUAWEI
NONHOMOGENEOUS 2ND ORDER LINEAR D.E. With ConstantCoefficients please answer b.
Consider the equation dy a – y². = dt a) Find all of the critical points for the equation. Observe that there are no critical points if a 0. b) Draw the phase line in each case and determine whether each critical point is asymptotically stable, semistable, or unstable. c) In each case, use a graphing utility to sketch several solutions of the equation in the ty-plane. a) If a > 0, y* = and y* : If a = 0, y* =| P Type here to search
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6. Consider the problem u + u2ux = 0, |x| 0 satisfying the initial condition u(x,0) = %3D 1+x2 a. Find and plot the characteristics. b. Graphically locate where a gradient catastrophe might occur. Es- timate from your plot the breaking time. c. Analytically determine the breaking time. timo
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Q3 The heat transfer performance of a new conductor bar of length 20 cm is under inspection. The material is fully insulated such that the heat transfer is only one dimensional in axial direction (x-axis). The left end is maintained at temperature of 100°C, while the right end is maintained at temperature of 20°C, for 1>0. The distribution of the initial temperatures is shown in Figure Q3. The unsteady state heat conduction equation is given by; ax =0 Where is a thermal diffusivity of material and x is the longitudinal coordinate of the bar. The thermal diffusivity of the material is given as x=10 cm²/s, and A = 2 second.

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