Find (a) the first five terms of the power series for the function and (b) the interval and center of convergence.f(x) = 
A. (a) 1 - 2x + 4x2 - 8x3 + 16x4 - ... ; (b) 
, 0
B. (a) 1 + 2x + 4x2 + 8x3 + 16x4 + ... ; (b) 
, 0
C. (a) 1 + 2x - 4x2 + 8x3 - 16x4 + ... ; (b) 
, 2
D. (a) 1 + 2x + 2x2 + 2x3 + 2x4 + ... ; (b) 
, 0
Answer: B
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Determine whether F is conservative.F(x,y) = (x + 4y - 6)i + (-4x + 7y2 + 8)j
A. conservative B. not conservative
Evaluate the expression.-(-5)4
A. -625 B. 625
Add or subtract. Simplify the answer.
- 
A. 
B. 
C. 
D. 
Solve the problem.Suppose that the weather in a certain city is either sunny, cloudy, or rainy on a given day, and consider the following:1) If it is sunny today there is a 70% chance it will be sunny tomorrow and a 30% chance that it will be cloudy.2) If it is cloudy today there is a 40% chance it will be sunny tomorrow, a 40% chance that it will be cloudy, and a 20% chance that it will be rainy.3) If it is rainy today there is a 40% chance it will be sunny tomorrow, a 30% chance that it will be cloudy, and a 30% chance that it will be rainy.In the long run, how likely is it that the weather will be rainy on a given day?
A. 11.3% B. 12.1% C. 10.6% D. 9.5%