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allison cort-s

allison c.

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Provide a reasonable hypothesis about why stickleback fish in some freshwater lakes have lost their pelvic spine, while those in other lakes and in the ocean have retained their spines.

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sin 16x Use l'Hôpital's Rule to evaluate lim Then determine the limit using limit laws and commonly known limits. x x→0 Use l'Hôpital's Rule to rewrite the given limit so that it is not an indeterminate form. sin 16x lim = lim x→0 x x→0

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is the sum of all chemical reactions in the body. A all answers are right B catabolism C metabolism D anabolism

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Which group of disorders is characterized by blaming and punishing the self? O internalizing O personality O learning O externalizing

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2 1/2 is to 4 as x is to 12. x = ?

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6. $D_7$ acts on $V$, the set of vertices of the regular 7-gon, in the usual way. Let $X$ be the set of red-blue colorings of $V$ such that 3 vertices are colored red and 4 are colored blue. How many orbits does the action of $D_7$ on $X$ have? (15 points)

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3. One form of Henderson-Hasselbalch Equation shown below (See also Chapter 19.4 and 26.3) can be derived from the generic equation for an acid-dissociation reaction. It is useful for approximating the pH of an aqueous buffer. The expression can also be arranged to solve for pKa or the ratio of (conjugate base]: [acid] or [base]:[conjugate acid] depending on the functional group being ionized. $K_a$ HA Acid Dissociation Reaction derivation $pH = pK_a + log\frac{[A^-]}{[HA]}$ Henderson-Hasselbaich Eqn. (solving for pH) Consider the two different cases below. Decide if the compound shown is most likely acting as a base or acid then draw the most likely ionized form of the compound as it would exist at pH 7. For each case calculate the % ionization. For Case 2 only, using the appropriate form of the Henderson-Hasselbalch expression, show your work which led to each % ionized answer. (2pts for each correct structure, 1pt for each correct % ionization, 4pts for relevant work shown). Note, the % ionized value approximated for each case should be some value < 100% and > 0%. Note: You will need to use Table 1.8 in your text to find the relevant pKa. Round the pKa to the nearest whole number. Case 1: $pH = 7$ OH unionized form % ionized at pH = 7 most likely ionized form Case 2: $N^+$: $pH = 7$ % ionized at pH = 7 unionized form most likely ionized form Show work for how you solved for the % ionization for Case 2 below:

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The spot exchange rate is 0.6756 USD per AUD, and the 12-month forward exchange rate is 0.6830 USD per AUD. The 12-month inflation rates in the U.S. and Australia are 7.1% p.a. and 7.4% p.a., and the 12-month interest rates in the U.S. and Australia are 5.49% p.a. and 4.35% p.a., respectively. Does purchasing power parity hold? (Round to three decimal places) (A) Yes, it holds. (B) No, it does not hold. (C) The information is not enough for a decision. (D) None of the above.

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Numerical methods: No programming language needed, just numerical methods and analysis. 2. A definite integral is given as follows: ∫(0 to 1) e^(-x) dx Use Maclaurin series of e to approximate the definite integral with an absolute error of 10^-6. 1) Determine at least how many terms are needed (Hint: Use the error estimation theorem for an alternating series. That is, if s is the sum of an alternating series that satisfies |b(n+1)| ≤ |bn| for all n ≥ 0, then the absolute error |s - sk| of using the sum of k terms, sk, to approximate the sum must satisfy |s - sk+1| ≤ |bn+1|). Answer: 2 terms. 2) Determine the approximated value with the number of terms determined in (1). Answer: 2.60267x10^-3.

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Ralph has a demand curve for office visits (Qd) to the doctor in a year given by Qd = 20 – (P/10) where P is the price of an office visit for Ralph. How many doctor visits would Ralph make if they cost $50? What price would result in Ralph seeing the doctor 10 times in a year?

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