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
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.
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.
Solve for x: log₂(x) + log₂(4) = 5
Answer: 8
log₂(4x) = 5 means 4x = 32, so x = 8.
In an ESAT-style problem, how many radians is 270°?
Answer: 3π/2
270° × (π/180) = 3π/2 radians.
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.
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.