Solve the problem.Find any local extrema (maxima, minima, or saddle points) of    given that   and  

A. Local minimum at 
B. Local maximum at 
C. Local minimum at  
D. Saddle point at  


Answer: C

Mathematics

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Find the required ratio.The specific gravity of a substance is the ratio of its density to the density of water. If the density of a substance is  and that of water is  what is the specific gravity of the substance, correct to the nearest hundredth?

A. 1.14 B. 7.12 C. 0.14 D. 8.12

Mathematics

Solve the problem.The function P(x) = 0.61x2 - 0.042x + 2 models the approximate population P, in thousands, for a species of fish in a local pond, x years after 1997. During what year will the population reach 40,704 fish?

A. 2004 B. 2005 C. 2006 D. 2007

Mathematics

Evaluate to four decimal places using a calculator.e4.76

A. 116.7459 B. 12.9390 C. 1.5602 D. 129.0242

Mathematics

Refer to the figure in which O is the center of the circle, ray PA is a tangent, m?BOC = 80°, PE = 10 ft, PD = 12 ft, PB = 19 ft, ER = 4 ft, ER = 4 ft, and BR = 5 ft.


Find m?DPE
(a) 20°
(b) 40°
(c) 60°
(d) 90°

Mathematics