Solve the problem.The logistic growth function f(t) = 
describes the population of a species of butterflies 
after they are introduced to a non-threatening habitat. What is the limiting size of the butterfly population that the habitat will sustain?
A. 90 butterflies
B. 8 butterflies
C. 1600 butterflies
D. 800 butterflies
Answer: D
Mathematics
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Find the area enclosed by the given curves.y = 2x - x2, y = 2x - 4
A. 
B. 
C. 
D. 
Mathematics
Find the inverse of the function.f(x) = x + 6
A. f-1(x) = 
B. f-1(x) = -x + 6
C. f-1(x) = x - 6
D. f-1(x) = 6 - x
Mathematics
Provide an appropriate response.Use Newton's method to approximate the root of x3 + 5x - 1 = 0 that lies between 0 and 1. Continue the approximation procedure until the difference of two successive approximations is less than 0.0001.
Fill in the blank(s) with the appropriate word(s).
Mathematics
Solve the inequality and draw a number line graph of the solution.2(4 - 4x) + 4(2x - 2) ? 2x
A. 
B. 
C. 
D. 
Mathematics