For the function
?
?
find 
. Round to the nearest whole number if necessary.
?
A. 16
B. 18
C. 17
D. 19
E. 23
Answer: A
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Use the given vectors u, v, w, and z to draw the indicated vector. 
u + z
A. 
B. 
C. 
D. 
Solve the problem.A furniture company makes two different types of lamp stands. Each lamp stand A requires 11 minutes for sanding, 18 minutes for assembly, and 8 minutes for packaging. Each lamp stand B requires 13 minutes for sanding, 23 minutes for assembly, and 7 minutes for packaging. The total number of minutes available each day in each department are as follows: for sanding 4000 minutes, for assembly 8000 minutes, and for packaging 2000 minutes. The profit on each lamp stand A is $19 and the profit on each lamp stand B is $27. How many of each type of lamp stand should the company make per day to maximize their profit? Set this up as a linear programming problem in the following form: Maximize cTx subject to Ax ? b and x ? 0. Do not find the solution.
A. Let x1 be the number of lamp stands of type A made per day and x2 the number of lamp stands of type B made per day.
Then b =
, x = 
, c = 
, and A = 
B. Let x1 be the number of lamp stands of type A made per day and x2 the number of lamp stands of type B made per day.
Then b = 
, x = 
, c = 
, and A = 
C. Let x1 be the number of lamp stands of type A made per day and x2 the number of lamp stands of type B made per day.
Then b = 
, x = 
, c = 
, and A = 
D. Let x1 be the number of lamp stands of type A made per day and x2 the number of lamp stands of type B made per day.
Then b = 
, x = 
, c = 
, and A = 
Solve the equation.Solve tan ? = 
for ?, where 0° ? ? ? 90°.
A. 60° B. 30° C. 90° D. 45°
Solve the problem.The space in a landfill (in acres) decreases with time as given by the function 
where t is measured in years. How much space is left when t = 6?
A. 110 acres B. 220 acres C. 200 acres D. 400 acres