Find the center of mass of a thin plate covering the given region with the given density function.The region between the x-axis and the curve y = 
, 1 ? x ? 2, with density ?(x) = 
A. 
= 
, 
= 
B. 
= 
, 
= 
C. 
= 
, 
= 
D. 
= 
, 
= 
Answer: A
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The equation of change for a certain fish population is
.
Here N in measured in tons of fish, and t is measured in years. The variable F is the number of tons of fish per year taken by fishing.
?
A: What number of tons of fish per year can be taken by fishing if the population is to be maintained at a level of 428 tons? That is, for what value of F will 428 be an equilibrium solution? Round your answer to two decimal places.B: What will happen to the population if the population is 428 tons and the amount of fish taken by fishing is 41 tons per year?C: Find the equilibrium solutions if 41 tons per year are taken by fishing. Round your answers to two decimal places.
What will be an ideal response?
Solve by the method of elimination by substitution.0.4x + 0.6y = -2.6x - 0.5y = -0.5
A. x = -0.2, y = -0.3 B. x = -2, y = -3 C. x = -3, y = -2 D. Inconsistent
Solve. x2 - 3y2 = 14x2 + 3y2 = 19
A. (-1, 2) and (1, -2) B. (2, 1) and (-2, -1) C. (2, 1), (2, -1), (-2, 1), (-2, -1) D. (1, 2), (-1, 2), (1, -2), (-1, -2)
Use a graphing utility to graph the polar equation.r = 
A. 
B. 
C. 
D. 