Find the standard form of the equation of the ellipse with the given characteristics and center at the origin.
?
Foci: 
; major axis of length 18
?
A. 
B. 
C. 
D. 
E. 
Answer: E
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There are initially 6.54 thousand people in a city. The population grows exponentially with yearly growth factor 1.06. ? A: Using N for the population in thousands after t years, write a formula that gives the value of N after t years. ? B: What is the population after 5 years? Round your answer to two decimal places. ? C: Plot the graph of N versus t over the first 20 years. ? D: What is the doubling time for the population? That is, how long will it take for the population to double its initial level? Round your answer to two decimal places.
What will be an ideal response?
Calculate the derivative of the function. Then find the value of the derivative as specified.f(x) = x2 + 7x - 2; f '(0)
A. f '(x) = x + 7; f '(0) = 7 B. f '(x) = 2x + 7; f '(0) = 7 C. f '(x) = 2x - 2; f '(0) = - 2 D. f '(x) = 2x; f '(0) = 0
Solve the problem.The mode equations for a circuit follow:
What are the node voltages v1, v2, and v3?
A. v1 = 100 V, v2 = -120 V, v3 = -500 V B. v1 = 100 V, v2 = 120 V, v3 = 120 V C. v1 = 100 V, v2 = -120 V, v3 = 120 V D. v1 = 100 V, v2 = 120 V, v3 = 500 V
Solve.The current i in an electric circuit is 
8 cos ?t. Write the first three terms of the Taylor series of this function about 
A. 8 cos 
- 8? sin 
- 4?2 cos 
2 + . . .
B. 8 cos 
- 8? sin 
+ 8?2cos 
2 + . . .
C. 8 cos 
+ 8?t sin 
+ 4?2t2 cos 
+ . . .
D. 8 cos 
- 8 sin 
- 4 cos 
2 + . . .