Solve the problem.Let c(x) = t(p0 - p)p3 where t and p0 are constants. Show that c(x) is greatest when 

What will be an ideal response?


We calculate c'(x) = 3tp0p2 - 4tp3, and find that the only critical point is
p =  p0. As c'(x) < 0 for p > p0 and c'(x) > 0 for p < p0, the absolute maximum of c(x) occurs at 

Mathematics

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Solve the differential equation.5y ' = ex/5 + y

A. y = 
B. y = 
C. y = xex/5 + cex/5
D. y = 

Mathematics

Use the rules for exponents to rewrite the expression and then evaluate the new expression.  

A.
B. -4
C. 2
D. - 

Mathematics

Evaluate the expression.(66)

A. 2 B. 720 C. 1 D. 0

Mathematics

Solve the problem.A certain club initially has 160 members and membership increases by 2 members every month. If dues are  what is the total amount of dues collected during the first year?

A. $37,400 B. $41,040 C. $37,840 D. $41,280

Mathematics