Provide an appropriate response.Determine which number in the set is a solution to the given equation. 3x - 2 = 78 - 7x; {0, 8 ,10}
A. 10
B. none of them
C. 8
D. 0
Answer: C
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Find the center of mass of the thin rod with the given density function.Find the center of mass of a thin rod that lies along the first-quadrant portion of the circle
if the density of the rod is 
A. 
= 
?, 
= 
?
B. 
= 0, 
= 
?
C. 
= 2?, 
= 2?
D. 
= 
?, 
= 
?
Solve the problem.Suppose a business can sell x gadgets for p = 250 - 0.01x dollars apiece, and it costs the business 
dollars to produce the x gadgets. Determine the production level and cost per gadget required to maximize profit.
A. 10,000 gadgets at $150.00 each B. 13,750 gadgets at $112.50 each C. 11,250 gadgets at $137.50 each D. 111 gadgets at $248.89 each
Find the derivative of the given function.y = (tan-1 5x)3
A. 15(tan-1 5x)2
B. 
C. 
D. 
Find an equation for the ellipse described.Focus at (-4, 0); vertices at (±8, 0)
A. 
+ 
= 1
B. 
+ 
= 1
C. 
+ 
= 1
D. 
+ 
= 1