Calculate Sc (4(x²-y)i + 8(y² + x)}) · dr if: (a) C' is the circle (x − 8)² + (y – 5)² = 1 oriented counterclockwise. Sc (4(x² −y)i +8(y² + x)}).dr = - (b) C' is the circle (x − a)² + (y − b)² = R² in the xy- plane oriented counterclockwise. Sc (4(x² − y)i +8(y² + x)j) · dr = ¯ -

Q: What are the directing cosines of the line whose symmetric is (x + 2)/ - 1= (y-3)/ 2 = (z + 4)/ 6

A:

Q: ) Calculate (8(x² - y)i + 8(y² + x)j³) · dř if: (a) C is the circle (x − 4)² + (y − 8)² = 25…

A: (a) We have to calculate  where .in parametric form Now  and Now

Q: What is the reflection over the y-axis of (-7,8)

A: Given  Point : (-7,8)

Q: Which equation represents a circle with a center at (2, - 7) and a radius of 4 units?

A: