Evaluate the integral.
A. 4
B. 2
C. 1
D. 0
Answer: A
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Provide an appropriate response.What effect does a 270° rotation about the origin have on the equation of the line y = mx? Give the new equation.
A. v = 
B. v = - 
u
C. v = - mu
D. v = 
u
Find the moment or center of mass of the wire, as indicated.Find the center of mass of a wire that lies along the first-quadrant portion of the circle 
if the density of the wire is 
A. 
= 
, 
= 
B. 
= 1, 
= 1
C. 
= 
, 
= 
D. 
= 
, 
= 
Solve the problem.A toy manufacturer makes three types of toys. Toy A requires 12 minutes to assemble, 12 minutes to paint, 4 minutes to package, and sells for $20. Toy B requires 20 minutes to assemble, 12 minutes to paint, 8 minutes to package, and sells for $25. Toy C requires 24 minutes to assemble, 20 minutes to paint, 16 minutes to package, and sells for $30. The manufacturer has available 800 work-minutes for assembly, 600 work-minutes for painting, and 720 work-minutes for packaging each day. They must make at least 10 toys of type A and 15 of type B each day. How many of each type of toy should be produced each day to maximize revenues?
A. 21 of Toy A, 20 of Toy B, 5 of Toy C B. 20 of Toy A, 20 of Toy B, 6 of Toy C C. 25 of Toy A, 25 of Toy B, 0 of Toy C D. 6 of Toy A, 10 of Toy B, 20 of Toy C
A township has corners with the coordinates A(0, 0), B(7, 0), C(7, 5), and D(2, 5), where measurements are given in miles. Remembering that there are 5280 feet in one mile and that an acre is 43,560 sq. ft., find the area of the township to the nearest tenth of an acre.
What will be an ideal response?