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ESAT Mathematics Flashcards

6 cards from real ESAT practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 6 ESAT Mathematics flashcards as text
  1. In the ESAT Mathematics section, if f(x) = 3x² - 2x + 1, what is f'(x)?

    Answer: 6x - 2

    Differentiating 3x² - 2x + 1 term by term gives 6x - 2.

  2. Which of the following is tested in the ESAT Mathematics component?

    Answer: Calculus and algebra

    The ESAT Mathematics component assesses calculus, algebra, geometry, and other core mathematical skills.

  3. Solve for x: log₂(x) + log₂(4) = 5

    Answer: 8

    log₂(4x) = 5 means 4x = 32, so x = 8.

  4. In an ESAT-style problem, how many radians is 270°?

    Answer: 3π/2

    270° × (π/180) = 3π/2 radians.

  5. What is the sum of the infinite geometric series 1 + 1/3 + 1/9 + ...?

    Answer: 3/2

    For |r| < 1, the sum is a/(1-r) = 1/(1 - 1/3) = 3/2.

  6. Which integration technique would best solve ∫ x·eˣ dx in an ESAT question?

    Answer: Integration by parts

    Integration by parts (∫u dv = uv - ∫v du) is used for products of a polynomial and exponential.