Numerade

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Find the value of a that makes the following function differentiable for all values of x. $$g(x)=\begin{cases} ax & \text{if } x<0 \\ x^2-21x & \text{if } x\ge0 \end{cases}$$ The function g(x) is differentiable for all values of x when a = ____. (Simplify your answer.)

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What is the relationship between neighborhood disadvantage and mental health, according to Catherine Ross (2000): advantaged neighborhoods tend to have higher levels of depression. it only affects individuals with specific demographic characteristics. it surprisingly has no impact on mental health. it is associated with higher levels of depression and psychological distress.

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A 7.5 kW, 400V, 50Hz, 3-phase induction motor is started by star-delta starter. If the full-load current is 12A, calculate the line current during starting.

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Most common side effects of the alpha 1 selective antagonist are: orthostatic hypotension (1st dose phenomenon), lightheadedness, dizziness

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Explain the concept of quantum gravity and the challenges in unifying general relativity and quantum mechanics. What are some leading approaches to formulating a theory of quantum gravity?

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f(x)=(1)/(5)x^(2)(x^(2)-5) A) 0 , multiplicity 2 , crosses x-axis B) 0 , multiplicity 2 , crosses x-axis; sqrt(5), multiplicity 1 , touches x-axis; -sqrt(5), multiplicity 1 , touches x-axis C) 0 , multiplicity 2 , touches x-axis; D) 0 , multiplicity 2 , touches x-axis sqrt(5), multiplicity 1 , crosses x-axis; -sqrt(5), multiplicity 1 , crosses x-axis A0,multiplicity 2,crosses x-axis B0,multiplicity 2,crosses -axis; 5, multiplicity 1, touches x-axis; 5multiplicity 1,touches x-axis D0,multiplicity 2,touches -axis C0,multiplicity 2,touches x-axis; 5, multiplicity 1, crosses -axis; -5, multiplicity 1, crosses x-axis

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Sarah is part of the federal government. She represents the constituents within a district in her home state and is responsible for making laws that benefit her constituents' interests, as well as the nation as a whole. Which body of the government is Sarah most likely part of?

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Solve the following logarithmic equation. $2 \log_9 (x - 4) + \log_9 9 = 2$

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Place the stages of the stress response in chronological order: Instructions the alarm reaction the stage of resistance the stage of exhaustion

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Please answer this question in detail. Many economists make the case that the textbook model for analyzing and regulating monopolies is inappropriate for economic policy theorists even for the most egregious historical examples of monopoly. In 50 words or fewer, explain this argument using both your understanding of this position and your understanding of the text-book monopoly model that you just learned.

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miguel o.