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In Exercises 35 and $36,$ find the area of the region by subtracting the area of a triangular region from the area of a larger region.The region on or above the $$x...

Question

In Exercises 35 and $36,$ find the area of the region by subtracting the area of a triangular region from the area of a larger region.The region on or above the $$x$$ -axis bounded by the curves $$y=4-x^{2}$$ and $y=3 x$$

In Exercises 35 and $36,$ find the area of the region by subtracting the area of a triangular region from the area of a larger region. The region on or above the $$x$$ -axis bounded by the curves $$y=4-x^{2}$$ and $y=3 x$$



Answers

In Exercises 35 and $36,$ find the area of the region by subtracting the area of a triangular region from the area of a larger region.
The region on or above the $$x$$ -axis bounded by the curves
$$y=4-x^{2}$$ and $y=3 x$$

Someone noticed that since this is symmetric, this area equals this area over here. So that means our answer area will be two times in a girl from 0 to 2. Ah, you experience lines exit fourth my eyes to exploit like Texas work squared minus x 1/4. Yes, we have two times angle and not the angle. So the entered Europe, if we should be for excuse over three mice exit if over five from to zero here. Of course, we just get a zero. If we just put in two, we have 64 or three. My eyes 64 over five. You would give us 128 over 15 and if we put this into a calculator, you're checking.

We're looking for the area between the blue and purple line. It was moving and everything they do want to warn. That's two mice. Execute minus X minus three. So be five minus X minus an excuse. Yes, yeah. Five eggs minus X word over too, minus extra force four from one scene, one one a night of one will get the same when it's square or cute. Her brought to the fourth Power Slew. These two terms will give us Ciro, so it gives us five times one minus negative one. We'll be five times two or 10.

Who here? We're taking in your old from 0 to 4. Uh, negative. X grip was three x plus one minus one. Money's X that's Native X squared plus or ex Yes gives us negative X cubed over three, plus Q X squared I for zero here was getting zero especially important for it gives us NATO 64 over three. US 32 is US 32 over three.

Dealing with new before X cubed minus zero area in between them from *** 32 Native born. So we'll take this and a girl and I will give us two over X squared. Are you a native born? If three was to my stupid nine, so be 16 open nine.


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