Decide whether the relation defines a function.y = 7x - 3
A. Not a function
B. Function
Answer: B
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Consider the series 
.
?
Find the radius of convergence of the power series.
?
__________
?
Find the interval of convergence of the power series.
?
__________
What will be an ideal response?
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 = 
Divide and, if possible, simplify. Assume all variables represent positive real numbers.
A. 
B. 
C. 
D. 
Solve the problem.The medians of a triangle intersect at a point. The distance from the vertex to the point is exactly two-thirds of the distance from the vertex to the midpoint of the opposite side. Find the exact distance of that point from the vertex A(3, 4) of a triangle, given that the other two vertices are at (0, 0) and (8, 0).
A. 
B. 2
C. 
D. 