Answer:
Explanation:
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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!
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- Learning about, using, and understanding these pyramids is an ... sides, age on the y-axis, and the percentage of population on the x-axis. ... Rather, it displays percentages and shows what portion of people fall ... The more a graph looks like a pyramid, the faster that population is growing; old generations ...
(a) Microville has the absolute advantage producing cars. Because the most it can produce is 10 while Macroville can only produce 5.
(b) The opportunity cost is 5 cars if Macroville decides to use all of its resources and produce 20 boats.
(c) Microville has the comparative advantage in producing cars? Because its opportunity cost for 1 car is 1 boat while Macroville's cost for 1 car is 4 boats.
(d) If each country were to specialize in producing either cars or boats and then trade for the other product, Macroville makes 20 boats and Microville makes 10 cars. Each country produces the goods it has a comparative advantage in. Cars for Microville and boats for Macroville.