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debra mariscal

debra m.

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If diatom diversity increased to 450 over the next 5 million years, what would you predict for changes in mysticetes and odontocetes?

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Which of the following leads are anatomically contiguous? O II, V$_2$ O II, III, V$_3$ O I, V$_3$, V$_4$ O V$_2$, V$_3$, V$_4$

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Bacteria growing in a lab are "fed" through the use of ___________. Microbiology

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Suppose both the price of capital and the wage rate increase. The isocost:

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Free riding can reduce the intensity of what? Profit sharing Direct Price Competition Loss Recovering All of the above

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2. In this problem, we'll study the error in the Trapezoid rule on 16-xdx. Note that this is a test problem. a) (2 points) Use the Trapezoid rule by hand to approximate 16-xdx with b) (5 points) Use the error term in the Trapezoid rule to determine how many trapezoids suffice to approximate 16-xd to within 10-4 of the actual value. You can use Wolfram Alpha or other software to find f" if necessary. c) (2 points) Use your myTrap.m code from MGHW9 to approximate 16-x2dx using the number of intervals you found in part (b). Report i) the approximation to 6 significant digits, and ii) the actual error associated with the approximation (which is possible, since this is a test problem). You don't have to do the integral by hand, but do use the exact value when you compute the actual error. d) (2 points) Use your myTrap.m code to approximate 16-xd with n=100 subintervals. (i) What is the actual error associated with the approximation? (ii) Explain why this is compatible with the n you found in part (b). 3. Now consider 16-xdx. a) (3 points) Can you use the method of Question 2b to determine a number of intervals sufficient to approximate this integral to within 10-4 of the actual value using the Trapezoid rule? (No. Explain why not) b) (3 points) Despite this, we can use the Trapezoid rule to approximate 16-xdx to within 10-4 of the actual value by using a large enough value of n (although it may be hard to decide which n will work). Explain why.

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Calculate the moments of inertia with respect to the x-x and y-y axes of the following shapes. If necessary, use the transfer formula and tabular method. Report the answers in units of in.$^4$, ft$^4$, cm$^4$, or mm$^4$ as appropriate. Some of these problems can be solved with formulas in Appendix C. If the Transfer Formula is required, be sure to draw the compound shape, identifying the reference axis and clearly labeling the shapes, $x$, $y$, $d_x$, and $d_y$ dimensions. If you need the transfer formula to solve for both $I_x$ and $I_y$, draw a separate diagram for each solution, and create two tables. 1. Three 2x8 boards glued together. See Appx. E for actual dimensions. y 2. 2$^{nd}$ degree half parabola. 3. Tee. 8 in. 4 in. 4 in.. 4. Irregular pentagon. 6 cm 10 cm y 9 cm y 4 cm x y 2 in. 6 cm x x 4 cm 12 in. y

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2. Use only one MATLAB command to find the factors of the equation below $s^5 + 2s^4 + 4s^3 + 8s^2 + 3s + 1$ 3. Use only two MATLAB commands to find the initial value of the time domain response of the following equation. $\frac{2s}{(s + 1)^2(s + 2)}$ 4. 5. Use MATLAB commands to find $G(s)$ expressed as factors in the numerator divided by factors in the denominator. $G(s) = \frac{18s^2}{s^3 + 58s^2 + 75s + 4}$

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12. Which Fossil Fuel creates the most CO2 per Btu of Thermal energy released during combustion.

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2. Develop your methodology of stress analysis to study the following problem: Consider a spherical tank for storage of a gas. The shell plating is a 15 mm thick low-carbon steel having a yield strength of 246 MPa. Find: (a) What is the maximum permissible gas pressure? (b) The state of stress on the inner and outer surfaces. (c) Principal and maximum ($\tau_{max}$) shear stresses. (d) Using the calculated principal stress and Von Mises failure criteria, determine which materials from Table 1 (below) that should be selected under this internal gas pressure with a safety factor of 3. Materials Yield strength (MPa) Ultimate Strength (MPa) Low alloy steel 344.7 517 High carbon steel 620.5 965.20 High manganese steel 517.1 813.50 Martensitic stainless steel 551.5 68.90

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