Solve the problem.Determinants are used to show that three points lie on the same line (are collinear). If 
= 0,then the points (x1, y1), (x2, y2), and (x3, y3) are collinear. If the determinant does not equal 0, then the points are not collinear. Are the points 
, 
, and
collinear?
A. Yes
B. No
Answer: B
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Find the slowest growing and the fastest growing functions as 
y = exy = ex/5y = xxy = 9x
A. Slowest: y = ex/5 Fastest: y = xx B. Slowest: y = xx Fastest: y = 9x C. Slowest: y = ex/5 and y = ex grow at the same rate. Fastest: y = 9x D. Slowest: y = ex/5 and y = ex grow at the same rate. Fastest: y = xx
Given the polynomial function f(x), find the rational zeros, then the other zeros (that is, solve the equation 
), and factor f(x) into linear factors.f(x) = x3 + 7x2 - 5x - 35
A. -
, multiplicity 2; -5; f(x) = (x + 
) 2(x + 5)
B. -7, -
, 
; f(x) = (x + 7)(x + 
)(x - 
)
C. -
, multiplicity 2; -
, multiplicity 2; f(x) = (x + 
) 2(x + 
)2
D. -7, -5, 5; f(x) = (x + 7)(x + 5)(x - 5)
Solve the problem.The Acme Class Ring Company designs and sells two types of rings: the VIP and the SST. They can produce up to 24 rings each day using up to 60 total man-hours of labor. It takes 3 man-hours to make one VIP ring and 2 man-hours to make one SST ring. How many of each type of ring should be made daily to maximize the company's profit, if the profit on a VIP ring is $20 and on an SST ring is $50?
A. 0 VIP and 20 SST B. 12 VIP and 12 SST C. 4 VIP and 20 SST D. 0 VIP and 24 SST
?Write the first five terms of the sequence of partial sums.
?
?
A. ?5 , 
, 
, 
, 
B. ??5 , 
, 
, 
, 
C. ??5 , 
, 
, 
, 
D. ??5 , 
, 
, 321 , 
E. ??5 , 
, 
, 
, 