Solve the problem.A balloon used in surgical procedures is cylindrical in shape. As it expands outward, assume that the length remains a constant 
. Find the rate of change of surface area with respect to radius when the radius is 
(Answer can be left in terms of ?).
A. 100.0? mm2/mm
B. 50.14? mm2/mm
C. 100.28? mm2/mm
D. 50.28? mm2/mm
Answer: C
Mathematics
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Find the standard-form equation of the ellipse centered at the origin and satisfying the given conditions.An ellipse with vertices (0, ±7) and foci (0, ±3)
A. 
+ 
= 1
B. 
+ 
= 1
C. 
+ 
= 1
D. 
+ 
= 1
Mathematics
Solve the problem.The number of books, B, in a small library after t years is given by the function 
where t is measured in years. How many books will the library have after 6 years? (Round to the nearest unit.)
A. 5089 B. 2210 C. 2706 D. 3164
Mathematics
Evaluate the integral using the given substitution.
dx , u = - 
A. - 
+ 
sin 
+ C
B. - 
+ sin3 
+ C
C. 
+ 
sin 
+ C
D. - 
+ 
sin 
+ C
Mathematics
Subtract.7 - 
A. - 16
B. - 5
C. 
D. 8
Mathematics