The sizes of two matrices A and B are given. Find the sizes of the product AB and the product BA, whenever these products exist.A is 2 × 1, and B is 1 × 1.
A. 1 × 2; 1 × 1
B. 2 × 2; 1 × 1
C. 2 × 1; BA does not exist.
D. AB does not exist; 1 × 2
Answer: C
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Express the integrand as a sum of partial fractions and evaluate the integral.
A. 27 ln
+ 
- 
+ C
B. 
- 9x + 9 ln
- 
+ C
C. 
- 9x - 27 ln
+ 
+ C
D. 
- 9x + 27 ln
+ 
+ C
Write a system of linear inequalities that has the given graph.
A. x ? 3, and y + x ? 5 B. y ? 0, x ? 0, x ? 5, and y + x ? 3 C. y ? 0, x ? 0, x ? 3, and y + x ? 5 D. y ? 0, x ? 0, x ? 3, and y + x ? 5
Solve the problem.Bob wants to fence in a rectangular garden in his yard. He has 82 feet of fencing to work with and wants to use it all. If the garden is to be x feet wide, express the area of the garden as a function of x.
A. A(x) = 41x - x2 B. A(x) = 43x2 - x C. A(x) = 40x - x2 D. A(x) = 42x - x2
Find all specified roots.Seventh roots of 1.
A. 1, cis 
, cis 
, cis 
, cis 
, cis 
, cis 
B. -1, cis 
, cis 
, cis 
, cis 
, cis 
, cis 
C. 1, cis 
, cis 
, cis 
, cis 
, cis 
, cis 
D. 1, cis 
, cis 
, cis 
, cis 
, cis 
, cis 
, -1