Optimization Worksheet 3.6 With Answers - Calculus Maximus Page 2
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10Calculus Maximus
WS 3.6: Optimization
3. A right circular cylinder is inscribed in a sphere with diameter 4cm as shown. If
the cylinder is open at both ends, find the largest possible surface area of
the cylinder.
2
2
2
(A)
A
8 cm
(B)
A
16 cm
(C)
A
16 cm
2
2
2
(D)
A
2 cm
(E)
A
8 cm
(F)
A
4 cm
2
2
2
(G)
(H)
(I)
A
4 cm
A
2 cm
A
2 cm
4. The point on the curve
y
2
x that is nearest the point 1, 4 occurs at the point
(A) 1, 2
(B) 2, 2
(C) 4, 2 2
(D) 0,0
(E) 8, 4
Page 2 of 10
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