Evaluate the line integral of f(x,y) along the curve C.f(x, y) = , C: y = x2, 0 ? x ? 4

A. 256
B. 1024
C.
D. 0


Answer: C

Mathematics

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Solve the problem.The system of equations  = (-2 + 3y)x and  = (-2 + x)y describes the growth rates of two symbiotic (dependent) species of animals (such as the rhinoceros and a type of bird which eats insects from its back). What happens to the rhinoceros population when the bird population decreases?

A. The rhinoceros population could either increase or decrease. B. The rhinoceros population stays the same. C. The rhinoceros population decreases. D. The rhinoceros population increases.

Mathematics

Find the system of equations to model the problem. DO NOT SOLVE THIS SYSTEM.Hurst's Feed & Seed sold to one customer 5 bushels of wheat, 2 of corn, and 3 of rye, for $31.00. To another customer he sold 2 bushels of wheat, 3 of corn, and 5 of rye, for $27.60. To a third customer he sold 3 bushels of wheat, 5 of corn, and 2 of rye for $32.70. What was the price per bushel for each of the different grains?Let x represent the price per bushel for wheat, y the price per bushel for corn, and z the price per bushel for rye.

A. 5x + 2y + 3z = 31.00 2x + 3y - 5z = 27.60 3x + 5y - 2z = 32.70 B. 5x + 2y + 3z = 31.00 2x + 3y + 5z = 27.60 3x + 5y + 2z = 32.70 C. 5x + 2y - 3z = 31.00 2x + 3y - 5z = 27.60 3x + 5y - 2z = 32.70 D. 5x + 2y + 3z = 31.00 2x - 3y + 5z = 27.60 3x + 5y + 2z = 32.70

Mathematics

Refer to the figure in which ? and ?



If AD = 10 cm and BD = 3 cm, find CD.

Mathematics

Translate the sentence into a mathematical equation. Be sure to identify the meaning of all symbols.The total cost of producing refrigerators in one production line is $3,600 plus $270 per unit produced.

A. If C is the total cost and x is the number of units produced, then 
B. If C is the total cost and x is the number of units produced, then 
C. If C is the total cost and x is the number of units produced, then 
D. If C is the total cost and x is the number of units produced, then 

Mathematics