Find the standard-form equation of the hyperbola centered at the origin which satisfies the given conditions.Asymptotes y = 
x, y = - 
x; one vertex is (0, 14)
A. 
- 
= 1
B. 
- 
= 1
C. 
- 
= 1
D. 
- 
= 1
Answer: D
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Find the flux of the vector field F across the surface S in the indicated direction.F = 3x2j - z5k; S is the portion of the parabolic cylinder y = 10x2 for which 0 ? z ? 4 and -1 ? x ? 1; direction is outward (away from the y-z plane)
A. 8 B. - 8 C. -24 D. 24
Solve the problem.The half-life of plutonium-234 is 9 hours. If 60 milligrams is present now, how much will be present in 6 days? (Round your answer to three decimal places.)
A. 0.59 B. 37.797 C. 19.793 D. 0.001
Decide whether the statement is always true, sometimes true, or never true.The sum of two positive numbers is positive.
A. Never true B. Sometimes true C. Always true
Divide and simplify. Assume that all variables represent positive real numbers.
A. 9
B. 9
C. 3
D. 3