Use Green's Theorem to evaluate C F · dr. (Check the orientation of the curve before applying the theorem.) F(x, y) = x + 10y3, 10x2 + y C consists of the arc of the curve y = sin(x) from (0, 0) to (π, 0) and the line segment from (π, 0) to (0, 0)

Step-by-step explanation:

Given that:

where;

and C consist of the arc of the curve, This shows that C is a closed curve.

Thus, using Green's theorem for clockwise orientation.

Then;

y → 0 to sin (x)        x → 0 to π

replace

By applying integration by posits

i leave the calculator work to you.

7. diameter 4 miles, circumference 4π miles

8. radius 0.2 miles, circumference 0.4π miles

[this is a bad problem because the actual radius of a car on the track is less than 0.2 miles so the answer is less than 0.4π miles]

9. radius 6 feet, circumference 12π feet

10. diameter 14 cm, circumference 14π cm

11. diameter 4.8 feet, circumference 4.8π feet

answer: i realy don't get it that much can you me figer it out pleas you

step-by-step explanation: