MA8151 Question Bank Engineering Mathematics 1

MA8151 Question Bank Engineering Mathematics 1 Regulation 2017 Anna University free download. Engineering Mathematics 1 Question Bank MA8151 pdf download free Question Paper.

Sample MA8151 Question Bank Engineering Mathematics 1:

1. Evaluate x 1 lim x 1 3 4 x 1 − −→, if it exists.
2. Find the derivative of the function f(x) = 3 1 + tan x .
3. Find dy/dx, when x2 + y2 = xy. MA8151 Question Bank Engineering Mathematics 1
4. Are u = x + y and v = x – y functionally dependent ? Justify the claim.
5. Evaluate the integral ∫ −30 (x 1)dx by interpreting in terms of areas.
6. Evaluate the improper integral ∫ ∞0dxx1 .
7. Sketch the region of integration of the integral ∫ ∫10x0f(x, y) dy dx and
change the order of integration. MA8151 Question Bank Engineering Mathematics 1 Question Paper

8. Evaluate the triple integral ∫ ∫ ∫+ 10y0x y0dz dx dy .
9. Find the particular integral of y′′ − 6y′ + 9y = 2e3x .
10. Solve y′′′ −7y′ − 6y = 0.

11. a) i) Find the values of ‘a’ and ‘b’ such that the function 2x a b, x 3 ax bx 3, 2 x x 2, x 2 f(x) 2 is continuous everywhere. (8)
ii) Find the derivative of the function f(x) =1 x using the definition of
derivative. State the domain of the function and the domain of its
derivative. (8) MA8151 Question Bank Engineering Mathematics 1 Question Paper
(OR)
b) i) Prove the statement 23 lim 2 4xx 1 =+→, using the ε, δ definition of a
limit. (6)
ii) Find the maximum and a minimum values of x x 1 f(x) x x 1 2 2− ++ += . (10)
12. a) i) If u = x2 tan–1(y/x) – y2 tan–1(x/y), then find the value of 22 using Euler’s theorem. (8) MA8151 Question Bank Engineering Mathematics 1
ii) Expand f(x, y) = ex sin y in powers of (x+1) and (y − (π/4)) up to
second degree terms by using Taylor’s theorem. (8)
(OR)
b) i) If z = f(x, y), where x = eu cos v and y = eu sin v, then show that (7)
ii) Find the volume of the greatest rectangular parallelopiped that can
be inscribed in the ellipsoid 1 using Lagrange’s method. MA8151 Question Bank Engineering Mathematics 1 Question Paper

Subject name	Engineering Mathematics 1
Subject Code	MA8151
Semester	1
Regulation	2017 Regulation

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