Calculate the flux of the field F across the closed plane curve C.F = y3i + x2j; the curve C is the closed counterclockwise path formed from the semicircle  0 ? t ? ?, and the straight line segment from (-2, 0) to (2, 0)

A. - 
B.
C.
D. 0


Answer: D

Mathematics

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Rita jogs for 8 miles and then walks an additional 11 miles. She jogs at a rate twice her walking rate and she covers the entire distance of 19 miles in 3 hours. Find the rate she jogs and the rate she walks. 

A. 10 miles per hour jogging and 5 miles per hour walking B. 6 miles per hour jogging and 3 miles per hour walking C. 6 miles per hour jogging and 7 miles per hour walking D. 20 miles per hour jogging and 10 miles per hour walking E. 14 miles per hour jogging and 7 miles per hour walking

Mathematics

Solve. Round to the nearest hundredth, if necessary.The time T necessary to make an enlargement of a photo negative varies directly as the area A of the enlargement. If 245 seconds are required to make a 5-by-7 enlargement, find the time required for a 7-by-9 enlargement.

A. 378 sec B. 567 sec C. 441 sec D. 504 sec

Mathematics

Determine whether the statement is true or false. ? If exists, then  exists and .

Answer the following statement true (T) or false (F)

Mathematics

Find an equation of the inverse relation.y = 4x + 2

A. x = 
B. x = 4y - 2
C. y =  - 2
D. x = 4y + 2

Mathematics