Transform the equation into standard form. Identify the curve and graph it.
x² – 9y² – 6x – 36y – 36 = 0
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The average delay time D, in seconds, for a car waiting at a certain stop sign is given by
,
?
where q is the number of cars per second passing the stop sign.A: What is the average delay time if there are 0.13 cars per second passing the sign? Round your answer to two decimal places if necessary.B: The service rate S, for a stop sign is the number of cars per second that can leave the stop sign. It is related to the delay time by
.
Find a formula for S in terms of q.C: What flow rate will permit a service rate of 0.85 cars per second? Round your answer to two decimal places if necessary.
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What will be an ideal response?
Determine convergence or divergence of the series.
A. Diverges B. Converges
Evaluate the integral by first performing long division on the integrand and then writing the proper fraction as a sum of partial fractions.
A. 3x2 + 3 ln 
- 3 ln 
+ C
B. 3 ln 
- 3 ln 
+ C
C. 
x2 + 3 ln 
- 3 ln 
+ C
D. 
x2 - 3 ln 
+ 3 ln 
+ C
Solve the system by the addition method. x + 6y = 114x + 5y = -13
A. {(-7, 3)} B. {(7, 4)} C. {(-8, 4)} D. ?