Numerade

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Q1. (20%) Find an npda on $\Sigma = \{a, b, c\}$ that accepts the language $L = \{w_1cw_2 : w_1, w_2 \in \{a, b\}^*, w_1 \neq w_2^R\}$

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5. The joint MGF of $X_1$ and $X_2$ is given by $M(t_1, t_2) = e^{2t_1 + 3t_2}$ a) Find $E(X_1)$. b) Find $E(X_1X_2)$. c) Find $Cov(X_1, X_2)$.

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Hydrogen peroxide can be prepared by the reaction of barium peroxide with sulfuric acid according to the reaction \[ \mathrm{BaO}_{2}(\mathrm{~s})+\mathrm{H}_{2} \mathrm{SO}_{4}(\mathrm{aq}) \longrightarrow \mathrm{BaSO}_{4}(\mathrm{~s})+\mathrm{H}_{2} \mathrm{O}_{2}(\mathrm{aq}) \] How many milliliters of $ 2.25 \mathrm{M} \mathrm{H}_{2} \mathrm{SO}_{4}(\mathrm{aq}) $ are needed to react completely with $ 69.9 \mathrm{~g} \mathrm{BaO}_{2}(\mathrm{~s}) $ ? \[ V= \] $ \square $ \[ \mathrm{mL} \]

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The phenotype ratio for a Mendelian trait is written using the format: Group of answer choices Recessive : Dominant aa : Aa : AA Dominant : Recessive AA : Aa : aa

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Those who make situational attributions regarding poverty and unemployment tend to adopt political positions that Multiple Choice tend to blame the poor for their problems. are unsympathetic to the poor. offer direct support to the poor. are more neutral regarding poverty and unemployment.

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How does Levodopa exert its therapeutic effects in the treatment of Parkinson's disease?Group of answer choicesIt is converted into dopamine in the brain, compensating for the decreased production of dopamine in the substantia nigra.It decreases the release of dopamine from presynaptic terminals without altering dopamine synthesis.It inhibits the enzyme monoamine oxidase B (MAO-B), decreasing the breakdown of dopamine in the brain.It acts directly as a dopamine receptor agonist, mimicking the action of dopamine.

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12. Find all ideals of the Cartesian product F_{1}*F_{2} of two fields F_{1} and F_{2}

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Use row operations to change the matrix below to reduced form. $\begin{bmatrix} 1 & 2 & -2 & -1 \ 0 & 3 & -15 & 1 \ 0 & -1 & 5 & -\frac{1}{3} \end{bmatrix}$

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The nominal values for Q and $T_i$ are 5000 kcal/min and 100 C. The heating capacity is 0.04 kcal/kg.min. The nominal flow into the tank is 500 kg/min. The new inflow is 400 kg/min. Show that the analytical solution for change of temperature in the tank is $T(t) = 100 \ e^{-t/4} + 3.29 \ (1 - \ e^{-t/4})$ IS this correct? How do you solve using numerical for the change of temperature due to the change of inflow?

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Problem 1: TANF and Labor Supply (25 points). Kerry has an hourly wage rate of $20 and 2,000 hours to spend on either labor or leisure. a) Find an equation for Kerry's budget constraint with no welfare, and graph it. b) In an attempt to reduce moral hazard, the government changes the TANF program to a benefit guarantee of G = $15,000 and a benefit reduction rate $t = 50\%$. (As a fraction, $t = \frac{1}{2}$). Graph Kerry's new budget constraint. What might this do to Kerry's hours worked? Consider multiple scenarios. c) Consider the same program as in part b), but now Kerry has to fill out paperwork frequently to continue receiving welfare. Filling out this paperwork has a cost of $5,000 to Kerry. Graph Kerry's new budget constraint. How might this affect Kerry's welfare dependency? Consider multiple scenarios. d) Consider the same program as in part b), but now Kerry's benefits are linked to her publicly provided health insurance, which is worth $7,000. That is, if Kerry goes off welfare she can no longer receive publicly provided health insurance. Graph Kerry's new budget constraint. How might this affect Kerry's welfare dependency? Consider multiple scenarios.

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hannah t.