Numerade

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3. Determine if the following function is continuous at (0,0) or not: $$f(x,y) = \begin{cases} \frac{xy}{\sqrt{x^2+y^2}}, & (x,y) \neq (0,0) \\ 0, & (x,y) = (0,0) \end{cases}$$ [Hint: Recall the identity $$2xy \leq x^2 + y^2$$ you learned in middle school]

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While on a business trip, Mr. Kennedy is driving to meet a potential client when he realizes his fuel tank is nearly empty. Using the “GasFinder” app on his iPhone, he sees that the cheapest gas station is 12 miles away. However, there’s a station closer by, though its gas is $0.25 more per gallon. The vehicle he’s driving has a 20-gallon fuel tank. What is the most likely decision Mr. Kennedy will make, and why?

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A positive Entropy of the system value indicates? A temperature dependent reaction Cannot answer, more information is needed A spontaneous reaction A non-spontaneous reaction The reaction is reversible

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When dissolved in enough water to make 1.0 liter of solution, which of the following solutes yields the solution with the highest number of particles? 0.10 mole of CaCl2 0.15 mole of NaCl 0.30 mole of glucose All three of the above solutions have the same number of particles.

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15 Given: $ \angle A D C $ and $ \angle A B C $ are right $ \angle \mathrm{s} $. \[ \overline{\mathrm{AB}} \cong \overline{\mathrm{AD}} \] Conclusion: $ \overleftrightarrow{\mathrm{AC}} \perp $ bis. $ \overline{\mathrm{BD}} $

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Comment briefly on what seems to be the largest factor causing discrepancy from Kirchhoffs rules

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La longitud de la curva $y = \int_1^x \sqrt{t^8 - 1}dt$, $1 \le x \le 4$ (recuerde: $\frac{d}{dx}(\int_a^x f(t)dt) = f(x)$) Seleccione una: $\circ$ a. $\frac{4^5}{5} - \frac{1}{5}$ $\circ$ b. $\frac{4^9}{9} + \frac{1}{9}$ $\circ$ c. $\frac{4^9}{9} - \frac{1}{9}$ $\circ$ d. $\frac{4^5}{5} + \frac{1}{5}$

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16.33 Which type of sugar produces a positive Benedict's test result? a. oxidizing sugars b. alditols c. reducing sugars d. sugar acids

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Find the inverse of the function: h(t) = log₉(t) h^(-1)(t) = Find the inverse of the function: h(t) = log₉(t) h₁(t)

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If A = 4, r = 4, w = 1, F = 12 and the firm wants to produce q = 32, Determine this firm’s marginal cost MC*.

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jennifer a.