Find the intercepts of the function f(x).f(x) = x2(x - 2)(x - 3)
A. x-intercepts: 0, 2, 3; y-intercept: 0
B. x-intercepts: 0, -2, -3; y-intercept: 6
C. x-intercepts: 0, 2, 3; y-intercept: 6
D. x-intercepts: 0, -2, -3; y-intercept: 0
Answer: A
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Find the first four terms of the binomial series for the given function.
1/3
A. 1 - 
x + 
x2 - 
x3
B. 1 - 
x - 
x2 - 
x3
C. 1 - 
x - 
x2 - 
x3
D. 1 - 
x + 
x2 - 
x3
Answer appropriately.According to data projections from a wildlife study, a certain region can support a population of 1480 coyotes when the human population in the region is 180,000. The coyote population falls by 15 for every additional 4500 people inhabiting the region. Express the coyote population in the region as a function c(x) where x is the number of people more than 180,000 inhabiting the region.
A. c(x) = - 
+ 181,480
B. c(x) = - 600x + 1480
C. c(x) = -2,632,500x + 1480
D. c(x) = - 
x + 1480
Determine whether f and g are inverses by determining whether 
and 
f(x) = x3 + 3, g(x) = 
A. Yes B. No
A furniture manufacturer makes TV tables and bookcases in the same workshop. Each item brings in a profit of $18. Each bookcase requires 2 hours of labor 3 units of teak wood. Each TV table requires 6 hours of labor and 1 unit of teak wood. Resources in the workshop are restricted to 6 units of teak wood a day and 12 hours of labor per day. The initial and final tableau are given below with x = the number of TV tables and y = the number of bookcases produced each day.?
?
/>(initial)(final)Write the dual problem to the above primal problem and give a short interpretation of the dual and its solution. What will be an ideal response?