Determine the standard equation of the ellipse described.Vertices at (-6, 4) and (10, 4); focus at (8, 4).
A. 
+ 
= 1
B. 
- 
= 1
C. 
+ 
= 1
D. 
+ 
= 1
Answer: C
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Find the center of mass of a thin plate of constant density covering the given region.The region enclosed by the parabolas y = - x2 + 32 and y = x2
A. 
= 0, 
= 16
B. 
= 0, 
= 
C. 
= 16, 
= 0
D. 
= 0, 
= 32
Write using radical notation. Then, simplify, if possible.
A. 2
B. 2p9/7
C. Cannot be simplified
D. 
Solve the problem.A population grows according to the logistic growth model, with growth parameter r = 1.6 and initial population given by p0 = 0.5. What does the logistic growth model predict in the long term for this population?
A. The population settles into a four-period cycle with the following approximate percentages of the habitat's carrying capacity: 50%, 37.9%, 38.4%, 37.5%. B. unlimited growth C. The population settles into a two-period cycle alternating between a high-population period at 50% and a low-population period at 37.5% of the habitat's carrying capacity. D. extinction E. It stabilizes at 37.5% of the habitat's carrying capacity.
Find the exact value of the expression.sin 25° cos 35° + cos 25° sin 35°
A. 
B. 
C. 
D. 