Decide whether the composite functions, f ? g and g ? f, are equal to x.f(x) = x2 + 3 , g(x) =
- 3
A. Yes, yes
B. No, no
C. Yes, no
D. No, yes
Answer: B
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Divide.
A. 1119 R 13 B. 1104 C. 1114 D. 1124 R 21
Solve.A farmer's silo is the shape of a cylinder with a hemisphere as the roof. If the radius of the hemisphere is 10 feet and the height of the silo is h feet, express the volume of the silo as a function of h.
A. V(h) = 100 ?(h - 10) + ?
B. V(h) = 4100 ?(h - 10) + ?
C. V(h) = 100 ?h + ?h2
D. V(h) = 100 ?(h2 - 10) + ?
Determine any local or absolute extrema as indicated.Estimate graphically the local extrema of
A. Local maximum: -4.56; local minimum: 0.63 B. No local maximum; local minimum: 0.63 C. Local maximum: -4.56; no local minimum D. No local maximum; local minimum: -4.56
Solve the problem.Mike's Bait Shop sells three types of lures: discount, normal, and professional. Location I sells 21 discount lures, 100 regular lures, and 30 professional lures each day. Location II sells 26 discount lures and Location III sells 60 discount lures each day. Daily sales of regular lures are 90 at Location II and 120 at Location III. At Location II 31 expert lures are sold each day, and 40 expert lures are sold each day at location III.Write a matrix that shows the sales figures for the three locations with the rows representing the three locations.The income per lure for discount, normal, and professional lures is $5, $10, and $17 respectively. Write
a matrix displaying the income.Use these matrices to find the matrix that gives the daily income of each of the three locations.
A.
B.
C.
D.