Summative Test: Extreme Value Theorem and Chain Rule of Differentiation
Quiz by Dan Russell Ventura
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- Q130s
- Q230s
- Q330s
- Q4
What is the absolute maximum value of the given graph below?
(1,-14)
(6,7)
(4,39)
(0,0)
30s - Q530s
- Q630s
- Q7
A manufacturer designed a cylindrical can to be produced and it can hold 2liters of liquid. If there is a constraint in materials, what will be the radius of the can that could minimize the amount of materials?
r = 6.8278 cm.
r = 7.8278 cm.
r = 9.8278 cm.
r = 8.8278 cm.
30s - Q8
A manufacturer designed a cylindrical can to be produced and it can hold 2liters of liquid. If there is a constraint in materials, what will be the height of the can that could minimize the amount of materials?
h = 14.6558 cm.
h = 12.6558 cm.
h = 15.6558 cm.
h = 13.6558 cm.
30s - Q9
A rectangular box has a square base of sides and a volume of 100 cubic centimeters. If the base and top are painted at a cost of 5 cents per square centimeter, and the side with a paint that costs 3 cents per square centimeter, what will be the sides of the base for a minimum cost?
6.51 cm.
3.92 cm.
4.51 cm.
5.92 cm.
30s - Q10
A rectangular box has a square base of sides and a volume of 100 cubic centimeters. If the base and top are painted at a cost of 5 cents per square centimeter, and the side with a paint that costs 3 cents per square centimeter, what will be the height of the base for a minimum cost?
3.92 cm.
4.51 cm.
6.52 cm.
5.92 cm.
30s - Q1130sSTEM_BC11DIIIh-2
- Q1230sSTEM_BC11DIIIh-2
- Q1330sSTEM_BC11DIIIh-2
- Q1430sSTEM_BC11DIIIh-2
- Q1530sSTEM_BC11DIIIh-2
