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Engineering Mathematics Interview
Quiz 1
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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)
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))
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)
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)
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)
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