Practice Engineering Mathematics Interview Multiple Choice Questions with Answers Quiz-1 - MCQGeeks.com

Q.1.

nth derivative of Sinh(x) is

a) 0.5(ex – e-x)
b) 0.5(e-x – ex)
c) 0.5(ex – (-1)n e-x)
d) 0.5((-1)-n e-x -ex)

Explanation

Q.2.

If y=log⁡(x⁄(x2 – 1)), then nth derivative of y is ?

a) (-1)(n-1) (n-1)!(x(-n) + (x-1)(-n) + (x+1)(-n))
b) (-1)n (n)! (x(-n-1) + (x-1)(-n-1) + (x+1)(-n-1))
c) (-1)(n+1) (n+1)!(x(-n) + (x-1)(-n) + (x+1)(-n))
d) (-1)n(n)! (x(-n-1) + (x-1)(-n+1) + (x+1)(-n+1))

Explanation

Q.3.

If x = a(Cos(t) + tand y = a(Sin(t) + t2 + tthen dy/dx equals to

a) (Cos(t) + 3t2 + 2t) / (-Sin(t) + 2t)
b) (Sin(t) + 3t2 + 2t) / (-Cos(t) + 2t)
c) (Sin(t) + 3t2 + 2t) / (Cos(t) + 2t)
d) (Cos(t) + 3t2 + 2t) / (Sin(t) + 2t)

Explanation

Q.4.

If y=tan(-1)⁡(x) , then which one is correct ?

a) y3 + y12 + 4xy2 y1=0
b) y3 + y12 + xy2 y1=0
c) y3 + 2y12 + xy2 y1=0
d) y2 + 2y12 + 4xy2 y1=0

Q.5.

If y=x4⁄x2-then?

a) 0.5*(-1)n (n-1)! [(x-1)-n-1 + (x+1)-n-1]
b) 0.5*(-1)n (n-1)! [x– n-1 + (x-1)-n-1 + (x+1)-n-1]
c) 0.5*(-1)n (n-1)! [(x-1)-n + (x+1)-n)]
d) 0.5*(-1)n (n-1)! [x-n + (x-1)-n + (x+1)-n]

Q.6.

If y=sin(-1)⁡(x) then select the true statement.

a) y2 = xy13
b) y3 = xy23
c) y2 = xy12
d) y3 = xy12

Q.7.

nth derivative of y = sincosis

a) 1⁄8 cos⁡(x + nπ⁄2) –1⁄16 5n cos⁡(x + nπ⁄2) – 1⁄16 3n cos⁡(3x + nπ⁄2)
b) 1⁄8 sin⁡(x+nπ⁄2) –1⁄16 5n cos⁡(x + nπ⁄2) – 1⁄16 3n cos⁡(3x + nπ⁄2)
c) 1⁄8 cos⁡(x+nπ⁄2) –1⁄16 5n sin⁡(x + nπ⁄2) – 1⁄16 3n sin⁡(3x + nπ⁄2)
d) 1⁄8 sin⁡(x + nπ⁄2) –1⁄16 5n sin⁡(x + nπ⁄2) – 1⁄16 3n sin⁡(3x + nπ⁄2)

Explanation

Q.8.

Find nth derivative of y = Sin(x) Cos3(x)

a) (1/4) 2nSin(2x+nπ/2) + (1/8) 4nSin(4x+nπ/2)
b) (1/4) 2nCos(2x+nπ/2) + (1/8) 4nSin(4x+nπ/2)
c) (1/4) 2nSin(2x+nπ/2) + (1/8) 4nCos(4x+nπ/2)
d) (1/4) 2nCos(2x+nπ/2) + (1/8) 4nCos(4x+nπ/2)