Find the Jacobian J(u, v).
A. - 
B. 11
C. -11
D. 
Answer: D
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Evaluate 
for the given x0 and function f.f(x) = 
for x0 = 3
A. 
B. -3
C. - 
D. Does not exist
Replace the question mark by <, >, or =, whichever is correct.- 
- 
A. < B. > C. =
Provide an appropriate response.Find all complex cube roots of z = 8(cos 120° + i sin 120°). Write each root in standard polar form with the argument in degrees.
A. 2(cos 40° + i sin 40°), 2(cos160° + i sin 160°), 2(cos 280° + i sin 280°) B. -2(cos 40° + i sin 40°), 2(cos 80° + i sin 80°), -2(cos 120° + i sin 120°) C. 2(cos 40° + i sin 40°), 2(cos 80° + i sin 80°), 2(cos 120° + i sin 120°) D. -2(cos 40° + i sin 40°), 2(cos 160° + i sin 160°), -2(cos 280° + i sin 280°)
Factor the polynomial completely.343y3 - 729
A. (7y - 9)(49y2 + 81) B. (7y + 9)(49y2 - 63y + 81) C. (343y - 9)(y2 + 63y + 81) D. (7y - 9)(49y2 + 63y + 81)