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MP DTE Application of Integrals — practice questions — page 3

Explore 82 free Application of Integrals questions in MP DTE Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Application of Integrals questions and exercises with answers

Showing questions 61–82 of 82.

Radians and degreesRead the answer and worked solution →True or false: reading the identitiesRead the answer and worked solution →Complete the relationship between the two calculiRead the answer and worked solution →True or false: the constant of integrationRead the answer and worked solution →Differentiation or integration?Read the answer and worked solution →Tap every property of indefinite integrals the chapter givesRead the answer and worked solution →Properties in useRead the answer and worked solution →Assertion and reasonRead the answer and worked solution →Two are true, one is notRead the answer and worked solution →Three of these are wrong. Find the one that holds.Read the answer and worked solution →Order the steps: check an indefinite integralRead the answer and worked solution →Flip and pair: term with meaningRead the answer and worked solution →Spot the one that does not belongRead the answer and worked solution →True or false: reading the notationRead the answer and worked solution →Definite or indefinite?Read the answer and worked solution →Reading the definitions backRead the answer and worked solution →Complete the linearity rulesRead the answer and worked solution →Which process is being described?Read the answer and worked solution →True or false: what the constant meansRead the answer and worked solution →Checking an integralRead the answer and worked solution →Tap every true statement about integrationRead the answer and worked solution →Spot the one that does not belongRead the answer and worked solution →

Worked practice questions

Radians and degrees

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Questions
  1. Question
    π radians in degrees is
    Choices
    1. 180
    2. 90
    3. 360
    Correct choice
    180
  2. Question
    2π radians in degrees is
    Choices
    1. 180
    2. 360
    3. 720
    Correct choice
    360
  3. Question
    90 degrees in radians is
    Choices
    1. π
    2. π/4
    3. π/2
    Correct choice
    π/2
  4. Question
    To go from degrees to radians, multiply by
    Choices
    1. π/180
    2. 180/π
    3. π
    Correct choice
    π/180
Converting in both directions. Source: syllabus Maths, Ch 3 Trigonometric Functions.

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True or false: reading the identities

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Questions
  1. Statement is true
    Yes
    Statement
    The Pythagorean identity lets you find cos from sin.
  2. Statement is true
    Yes
    Statement
    The sum formulae let you expand cos(x + y).
  3. Statement is true
    Yes
    Statement
    Periodicity means adding 2π leaves the value unchanged.
  4. Statement is true
    No
    Statement
    Every trigonometric identity holds only for acute angles.
  5. Statement is true
    Yes
    Statement
    Radian measure is proportional to degree measure.
How the identities are used in practice. Source: syllabus Maths, Ch 3 Trigonometric Functions.

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Complete the relationship between the two calculi

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Missing parts
  1. Answer
    derivative
    Choices
    1. derivative
    2. integral
    3. limit
  2. Answer
    function
    Choices
    1. function
    2. constant
    3. slope
  3. Answer
    inverse
    Choices
    1. inverse
    2. same
    3. square
Complete the statement
In differential calculus you are given a function and find its {0}. In integral calculus you are given the differential and must find the {1}. So integration is the {2} of differentiation.
Integration undoes differentiation. Source: syllabus Maths, Ch 7 Integrals.

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