Summative Test: Extreme Value Theorem and Chain Rule of Differentiation

Quiz by Dan Russell Ventura

Basic Calculus
Philippines Curriculum: SHS Specialized Subjects (MELC)

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### Measures 1 skill fromGrade 11Basic CalculusPhilippines Curriculum: SHS Specialized Subjects (MELC)

STEM_BC11DIIIh-2

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15 questions
• Q1
30s
• Q2
30s
• Q3
30s
• Q4

What is the absolute maximum value of the given graph below?

(1,-14)

(6,7)

(4,39)

(0,0)

30s
• Q5
30s
• Q6
30s
• 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
• Q11
30s
STEM_BC11DIIIh-2
• Q12
30s
STEM_BC11DIIIh-2
• Q13
30s
STEM_BC11DIIIh-2
• Q14
30s
STEM_BC11DIIIh-2
• Q15
30s
STEM_BC11DIIIh-2

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