The GATE Grind

GATE Engineering Mathematics: Calculus: Partial derivatives, Taylor series, maxima and minima, Fourier series – Previous Year Questions

4 GATE previous year questions on Calculus: Partial derivatives, Taylor series, maxima and minima, Fourier series (Engineering Mathematics, Mechanical Engineering) with answers and explanations, from every paper.

  1. GATE 2022 ME (ME1) Q14 (1 mark, Multiple choice) – The Fourier series expansion of x3 in the interval -1 x < 1 with periodic continuation has
  2. GATE 2023 ME Q48 (2 marks, Numerical answer) – The smallest perimeter that a rectangle with area of 4 square units can have is units. (Answer in integer)
  3. GATE 2024 ME Q15 (1 mark, Multiple choice) – Let f() be a twice differentiable function from R2 R. If p, x 0 R2 where \ p\ is sufficiently small (here \ \ is the Euclidean norm or distance…
  4. GATE 2025 ME Q36 (2 marks, Multiple choice) – In the closed interval [0, 3], the minimum value of the function f given below is f(x) = 2x3 - 9x2 + 12x