Provide an appropriate response.Find the derivative of f(x) = (5x - 1)3 in two ways. First multiply out and differentiate. Then use the power rule. Show that the answers are equivalent.
What will be an ideal response?
f(x) = (5x - 1)3 = 125x3- 75x2 + 15x - 1
f'(x) = 375x2 - 150x + 15
Mathematics
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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 semicircle y = 
if the density of the rod is 
A. 
= 
?, 
= 
?
B. 
= 
?, 
= 
?
C. 
= 0, 
= 
?
D. 
= 0, 
= 
?
Mathematics
Solve the problem.A hall 130 feet in length was designed as a whispering gallery. If the ceiling is 25 feet high at the center, how far from the center are the foci located?
Fill in the blank(s) with the appropriate word(s).
Mathematics
Find the value of the combination.C(7, 7)
A. 1 B. 5,040 C. 0.5 D. 1,260
Mathematics
Solve the system of equations.
A. (-17, 4) B. (-17, 6) C. (17, -4) D. (-4, 17)
Mathematics