Solve.For a hyperbolic mirror the two foci are 44 cm apart. The distance of the vertex from one focus is 10 cm and from the other focus is 34 cm. Position a coordinate system with the origin at the center of the hyperbola and with the foci on the y-axis. Find the equation of the hyperbola.
A. 
- 
= 5
B. 
- 
= 1
C. 
- 
= 5
D. 
- 
= 1
Answer: D
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Solve the problem.A rectangular swimming pool has a parabolic drain plate at the bottom of the pool. The drain plate is shaped like the region between 
and the line 
from 
to 
The pool is 10 ft by 20 ft and 8 ft deep. If the pool is being filled at a rate of 
alt="" style="vertical-align: -4.0px;" /> what is the force on the drain plate after 5 hours of filling? Round your answer to two decimal places if necessary. A. 208 lb B. 611.52 lb C. 195.52 lb D. 97.76 lb
Factor completely.a2 - 14ab + 49b2
A. (a + 14b)(a - 14b) B. (a + 7b)(a - 7b) C. (a - 7b)2 D. (a + 7b)2
Solve the problem.A rectangular enclosure must have an area of at least 4200 yd2. If 260 yd of fencing is to be used, and the width cannot exceed the length, within what limits must the width of the enclosure lie?
A. 65 ? w ? 70 (yards) B. 60 ? w ? 65 (yards) C. 0 ? w ? 60 (yards) D. 60 ? w ? 70 (yards)
Solve the problem.The median weight, w, of a girl between the ages of 0 and 36 months can be approximated by the function w(t) = 0.0006t3 - 0.0484t2 + 1.61t + 7.60,where t is measured in months and w is measured in pounds. For a girl of median weight, find the rate of change of weight with respect to time at age 20 months.
A. 1.362 lb/mo B. 0.394 lb/mo C. 0.882 lb/mo D. 0.086 lb/mo