Solve the problem.South Wind Vineyards uses 830 acres to plant Chardonnay and Riesling grapes. The vintner knows the profits will be greatest by planting 240 more acres of Chardonnay than Riesling. How many acres of each grape should be planted?

A. Riesling: 535 acres; Chardonnay: 295 acres
B. Riesling: 212 acres; Chardonnay: 618 acres
C. Riesling: 295 acres; Chardonnay: 535 acres
D. Riesling: 378 acres; Chardonnay: 452 acres


Answer: C

Mathematics

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Use Stokes' Theorem to calculate the circulation of the field F around the curve C in the indicated direction.F = 2yi + 3xj + 5z3k ; C: the portion of the plane 5x + 6y + 3z = 5 in the first quadrant

A.
B. 1
C. - 
D. 0

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Write in exponential form. Assume all variables are positive real numbers.

A. x3/15 B. x1/15 C. x3/5 D. x5/3

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Find the domain and range and describe the level curves for the function f(x,y).f(x, y) = cos-1(x2 + y2)

A. Domain: all points in the x-y plane; range: all real numbers; level curves: circles with centers at (0, 0)
B. Domain: all points in the x-y plane satisfying x2 + y2 ? 1; range: real numbers -  ? z ? ; level curves: circles with centers at (0,0) and radii r, 0 < r ? 1
C. Domain: all points in the x-y plane; range: real numbers -  ? z ? ; level curves: circles with centers at (0, 0)
D. Domain: all points in the x-y plane satisfying x2 + y2 ? 1; range: real numbers -  ? z ? ; level curves: circles with centers at (0, 0)

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Convert to a logarithmic equation.1/2 = 

A.  = log1/2 
B.  = log1/6 
C.  = log1/6 
D.  = log1/36 

Mathematics