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7. For each molecule shown, determine whether the two faces of the alkene or carbonyl are homotopic, enantiotopic, or diastereotopic. For the two cyclohexenes, although a single chair conformer is provided in each case, we are interested in the average structure, so you may prefer to draw the rings in a single plane (as has been done for the 5-membered rings in this question). For ethyl phenyl ketone, designate the Re and Si faces. CH3 CH3 O

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Which one of the following is the theory that a firm should borrow up to the point where the additional tax benefit from an extra dollar of debt equals the additional costs associated with financial distress from that additional debt?M&M Proposition I, without taxesStatic theory of capital structureM&M Proposition I, with taxesHomemade leverage proposition M&M Proposition II, with taxes

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The production possibilities frontier (PPF) is a curve that:

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y = -8.5x + 3/4

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Which of the following represents the CORRECT order of stages in mitosis? Prometaphase, metaphase, prophase, anaphase, telophase. Prophase, prometaphase, metaphase, telophase, anaphase. Prophase, prometaphase, metaphase, anaphase, telophase. Prometaphase, metaphase, prophase, telophase, anaphase.

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MAT1313/GELO - Page 2 of 2 - Name: 2. Now we will look at this situation from a linear perspective. We looked at linear depreciation earlier this semester; this will build on that. This model will have the form $y = mz + b$ where $z$ is years since 2002 and $y$ is the value of the home in thousands of dollars. (a) What is the slope of the line? What does that number mean? (b) What is the equation for the line? (c) Predict the value of the home in 2020. How does that compare to the value predicted using the exponential model above? (d) During what year will the value of the home reach $200,000? How does that compare to the year predicted using the exponential model above?

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Find the distance between the skew lines \vec{r}(t) = (5, -2, 0)t + (9, -6, -3) and \vec{p}(s) = (4, 0, 5)s + (6, -9, -1).

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Explain the differences between the Texas Instruments products IWR6843 and IWR6432, finding: the overall pros and cons of each product, and which support which features (presence, people counting, static tracking, classification, gesture, and vital signs).

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Three charges, q1 = q2= 3 µC, and q3= 8 µC, are located as shown in the figure, what is the magnitude of the net electric force exerted on charge q2 by charges q1 and q3. (2 Points) 5.42 N 1.62 N 7,65 N 2.25 N

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2. (50 points) Consider the definite integral $I(cos(x^2)) = \int_0^{\sqrt{\frac{\pi}{2}}} cos x^2 dx$. We cannot calculate its exact value but we can compute accurate approximations to it using $T_h(cos x^2)$.\\ Let\\$q(h) = \frac{T_{\frac{h}{2}}(cos x^2) - T_h(cos x^2)}{T_{\frac{h}{4}}(cos x^2) - T_{\frac{h}{2}}(cos x^2)}$\\\\ • Using your code, find a value of h for which q(h) is approximately equal to 4.\\ • Get an approximation of the error, $I(cos x^2) - T_h(cos x^2)$, for that particular value of h.\\ • Use this error approximation to obtain the extrapolated, improved, approximation\\$S_h(cos x^2) = T_h(cos x^2) + \frac{4}{3}(T_{\frac{h}{2}}(cos x^2) - T_h(cos x^2))$ \\ • Explain why $S_h(cos x^2)$ is more accurate and converges faster to $I(cos(x^2))$ than $T_h(cos x^2)$ \\ • Let\\$q_1(h) = \frac{S_{\frac{h}{2}}(cos x^2) - S_h(cos x^2)}{S_{\frac{h}{4}}(cos x^2) - S_{\frac{h}{2}}(cos x^2)}$\\Using your code, find a value of h for which $q_1(h)$ is approximately equal to 16.

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tammy a.