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Summative Test: Extreme Value Theorem and Chain Rule of Differentiation

Quiz by Dan Russell Ventura

Grade 11
Basic Calculus
Philippines Curriculum: SHS Specialized Subjects (MELC)

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Measures 1 skill from
Grade 11
Basic Calculus
Philippines Curriculum: SHS Specialized Subjects (MELC)

STEM_BC11DIIIh-2

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

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

    Question Image

    (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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