The first thing you have to realize is that
tangent is the
slope of a curve on a given point. You can solve for the slope by finding the derivative of the given function. So:
Next use
product rule (I recommend watching videos if you're confused):
![= [sin(x)] + [x*cos(x)]](https://tex.z-dn.net/?f=%3D%20%5Bsin%28x%29%5D%20%2B%20%5Bx%2Acos%28x%29%5D)
Next substitute you x-value (π/2) into your derivative:
![= [sin( \frac{ \pi}{2} )] +[ \frac{\pi}{2}*cos( \frac{\pi}{2})]](https://tex.z-dn.net/?f=%3D%20%5Bsin%28%20%20%5Cfrac%7B%20%5Cpi%7D%7B2%7D%20%29%5D%20%2B%5B%20%5Cfrac%7B%5Cpi%7D%7B2%7D%2Acos%28%20%5Cfrac%7B%5Cpi%7D%7B2%7D%29%5D%20%20)
So our slope at π/2 is 1. Next we use our slope-form and substitute our given value and solve for y-intercept (algebra-stuff)
So we get our equation:
So our answer is E
Feel free to ask any questions.
Hopes this helps!
Answer:
B. Tracing a sequence of events resulting in a positive outcome
Explanation:
Answer B
Correct. Writers frequently use certain recognizable approaches to develop and organize the reasoning of their arguments. In the opening lines of the passage, the author employs such a method of development when he traces a sequence of events that he believes have culminated in a positive outcome: the First World War happened; the war provided a cautionary example; world leaders have been trying to prevent another outbreak of war; in the end, they succeed in devising the “greatest preventive measures ever adopted by nations.” A method of development provides an audience with the means to trace a writer’s reasoning in an argument. In this case, the author’s approach to organizing his argument suggests that he understands recent peace preservation efforts in terms of a temporal chain of events—one in which each event is linked to the next by a causal logic.
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Federalism is the division of power between states and the federal government.
Federal law preempts state law. This is due to the National Supremacy Clause in Article 6 of the U.S. Constitution.
Middle English speakers adapted "socour," the predecessor of "succor<span>," from the Anglo-French sucors, which essentially had the same meaning as our modern word. "Sucors," in turn, derives from the Medieval Latin succursus, itself a derivative of the Latin verb succurrere, meaning "to run to the rescue or "to bring aid."</span>
