<span>3down votefavoriteFind the area between the circles <span><span><span>x2</span>+<span>y2</span>=4</span><span><span>x2</span>+<span>y2</span>=4</span></span> and <span><span><span>x2</span>+<span>y2</span>=6x</span><span><span>x2</span>+<span>y2</span>=6x</span></span> using polar coordinates.I have found that the equation of the first circle, call it <span><span>C1</span><span>C1</span></span>, is <span><span>r=2</span><span>r=2</span></span> on the other hand, for <span><span>C2</span><span>C2</span></span>, I get that its equation is <span><span>r=6cosθ</span><span>r=6cosθ</span></span>. Then, to find the bounds of integration, I have found that their angle of intersection should be <span><span>θ=arccos(1/3)</span><span>θ=arccos(1/3)</span></span> and <span><span>θ=−arccos(1/3)</span><span>θ=−arccos(1/3)</span></span>. Then, to set up the double integral:<span><span>A=<span><span>∫<span>arccos(1/3)</span><span>−arccos(1/3)</span></span><span><span>∫2<span>6cosθ</span></span>rdrdθ</span></span></span><span>A=<span><span>∫<span>−arccos(1/3)</span><span>arccos(1/3)</span></span><span><span>∫<span>6cosθ</span>2</span>rdrdθ</span></span></span></span>However, when evaluating this integral with the calculator, I get a negative value. What would be the problem in this case? Thanks in advance for your help.</span>
<span>So basically you drove 1/2 hour at 100 km/h which works out to a total travel distance of 50 km (you multiply a 1/2 by 100)
Then you drove for 3/4 hour at 80 Km/h which works out to a total travel distance of 60 km (multiply 3/4 by 80)
now you know that you traveled a total of 110 km
now add up all the times 30 + 15 + 45 = 90 minutes or 1.5 hours
now you know that you traveled a total of 110 km in 1.5 hours
so your average speed is 73.33 km/h for the entire trip</span>
Answer:
800 monthly
Step-by-step explanation:10times20=200
4 weeks in a month so you do week1 200,week2 400,week3 600,week4 800.