Find the equation of the transverse axis of the hyperbola.y = ±3
A. y = 5
B. x = 0 (y-axis)
C. y = 0 (x-axis)
D. x = 5
Answer: B
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Evaluate the spherical coordinate integral.
A. 
?
B. 
?
C. 
?
D. 
?
Express in scientific notation.0.000001315
A. 1.315 × 10-6 B. 1.315 × 10-7 C. 1.315 × 10-5 D. 1.315 × 106
Solve the problem by integration.Under specified conditions, the time t (in min) required to form x grams of a substance during a chemical reaction is given by 
Find the equation relating t and x if x = 0 g when 
A. t = 
ln 
+ 
ln 
B. t = 
ln 
- 
ln 4
C. t = 
ln 
- 
ln 
D. t = 
ln 
+ 
ln 4
Answer each question appropriately.Suppose the velocity of a body moving along the s-axis is 
= 9.8t - 6.Is it necessary to know the initial position of the body to find the body's displacement over some time interval? Justify your answer.
A. Yes, integration is not possible without knowing the initial position. B. No, the initial position is necessary to find the curve s= f(t) but not necessary to find the displacement. The initial position determines the integration constant. When finding the displacement the integration constant is subtracted out. C. No, displacement has nothing to do with the position of the body. D. Yes, knowing the initial position is the only way to find the exact positions at the beginning and end of the time interval. Those positions are needed to find the displacement.