Find f so that F = ?f. If the fuction is not conservative state so.F(x,y) = (x - 3y + 7)i + (-3x + 3y + 8)j
A. f(x, y) = 
- 3xy + 
+ C
B. f(x, y) = 
- 3xy + 7x + 
+ 8y + C
C. f(x, y) = 
+ 3xy - 7x + 
+ C
D. not conservative
Answer: B
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Provide an appropriate response.If we apply the quadratic formula and find that the value of b2 - 4ac is positive, what can we conclude about the solutions?
A. The equation has two irrational solutions. B. The equation has two real number solutions. C. The equation has no real number solutions. D. The equation has exactly one rational solution.
Solve the problem.A textbook economy has only two industries, the electric company and the gas company. Each dollar's worth of the electric company's output requires 0.20 of its own output and 0.4 of the gas company's output. Each dollar's worth of the gas company's output requires 0.50 of its own output and 0.7 of the electric company's output. What should the production of electricity and gas be (in dollars) if there is a $16 M demand for electricity and a $7 M demand for gas?
A. Electricity: $107.5 M; Gas: $100 M B. Electricity: $125 M; Gas: $92.5 M C. Electricity: $115 M; Gas: $103.5 M D. Electricity: $97.5 M; Gas: $103 M
Find the complex solutions of the given equation.-2x2 - 5x - 5 = 0
A. 
B. 
C. 
D. 
Solve the problem.If f(?) = cot ? and f(a) = -5, find the exact value of f(-a).
A. 5
B. 
C. - 
D. -5