Find the indicated partial sum for the sequence.89, 61, 33, . . .; S10
A. 2150
B. 815
C. -815
D. -370
Answer: D
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Solve the problem.Let D be the region bounded below by the xy-plane, on the side by the cylinder 
and on top by the paraboloid 
. Set up the triple integral in cylindrical coordinates that gives the volume of D using the order of integration 
.
A. 
B. 
C. 
D. 
Find the curvature of the space curve.r(t) = ti + (sinh t)j + (cosh t)k
A. ? = cosh2 t
B. ? = sinh2 t
C. ? = 
D. ? = 
Solve the problem.The roof of a building is in the shape of the hyperbola 
where x and y are in meters. Refer to the figure and determine the height, h, of the outside walls.
a = b = 4 m
A. 4.6 m B. 21 m C. 11.1 m D. 123 m
Solve the problem.Ms. Patterson proposes to give her daughter Claire an allowance of $0.20 on the first day of her 15-day vacation, $0.40 on the second day, $0.80 on the third day, and so on. Find the allowance Claire would receive on the last day of her vacation.
A. $6553.60 B. $3.00 C. $16,384.20 D. $3276.80