Let s be the portion of the plane z = 2 - 2x - y which lies in the first octant. let c be the boundary curve of s, oriented counterclockwise as seen from above and let f be the vector field x i + y j + xyz k. evaluate integral_cf middot dr a) directly as a line integral, and b) as a surface integral, by using stokes' theorem.

a. is correct

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step-by-step explanation:

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answer:

total cost for tiles and paints is $924.  

step-by-step explanation:

we have been given that a community hall is in the shape of a cuboid. the hall is 40m long 15m high and 3m wide.

the paint will be required for 4 walls and ceiling.

let us find area of walls and ceiling.

therefore, the area of walls and ceiling is 1410 square meters.

given: cost for 10 litre of paint is $10 and 10 litre paint covers 25 square meter. therefore,

therefore, the total painting cost is $564.

tiles will be required for floor. let us find the area of floor.

given: 1m squared floor tiles costs $3. so,

therefore, the total tiles cost is $360.

now let us find combined total cost of tiles and paint.

therefore, the combined total cost of tiles and paint is $924.