The rotation is were you keep one point at the same spot and move the others
Parameterize S by the vector function

with 0 ≤ u ≤ π/2 and 0 ≤ v ≤ π/2.
Compute the outward-pointing normal vector to S :

The integral of the field over S is then



c. Roller Rink F charges 1.00 more per person than roller rink G.
Answer:
Option A is correct.
Step-by-step explanation:
Given an isosceles trapezoid has base angles of 45° and bases of lengths 8 and 14. we have to find the area of isosceles trapezoid.
An isosceles trapezoid has base angles of 45° and bases of lengths 8 and 14.
From the figure attached , we can see an isosceles trapezoid ABCD,
AB = 8cm and CD=14cm
So we have to find the value of AE which is the height of Trapezoid in order to find area.
In ΔAED

⇒ 
∴ AE = DE =3cm

h=3cm, a=14cm, b=8cm

hence, 
Option A is correct.
To determine the perimeter of the triangle given the vertices, calculate the distances between pair of points. For the first pair (-5,1) and (1,1), the distance is 6. For the next pair, (1,1) and (1, -7), the distance is 8. Lastly, for the pair of points (-5,1) and (1, -7), the distance is 10. Adding all the distance will give the perimeter of the triangle. Thus, the perimeter is 24.