Provide an appropriate response.Explain the error in the following: 25x2 - 100 = (5x + 10)(5x - 10).
What will be an ideal response?
There is a common factor of 5 in each multiplier that needs to be factored out: thus, 
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Solve the problem.The shape and density of a thin shell are indicated below. Find the moment of inertia about the z-axis.Shell: upper hemisphere of x2 + y2 + z2 = 9 cut by the plane z = 0Density: ? = 3
A. Iz = 324?
B. Iz = 27?
C. Iz = 
?
D. Iz = 162?
Find the derivative at each critical point and determine the local extreme values.y = x(9 - x2)
A. 
B. 
C. 
D. 
Solve the problem.The Acme Class Ring Company designs and sells two types of rings: the VIP and the SST. They can produce up to 24 rings each day using up to 60 total man-hours of labor. It takes 3 man-hours to make one VIP ring and 2 man-hours to make one SST ring. How many of each type of ring should be made daily to maximize the company's profit, if the profit on a VIP ring is $50 and on an SST ring is $10?
A. 20 VIP and 0 SST B. 20 VIP and 4 SST C. 24 VIP and 0 SST D. 24 VIP and 4 SST
Use the unit circle to determine the value of the given expression or state that it is undefined.sec 
A. - 
B. -2
C. - 
D. 