Practice Questions on Engineering Mathematics

Q1.

 The function $ 2x^2-9x-2 $ has a minimum value in the interval [2,6]   at:

A.

$\dfrac{7}{4}  $.

B.

$\dfrac{9}{4}  $.

C.

$\dfrac{5}{4}  $.

D.

$\dfrac{3}{4}  $.

 View Ans

Q2.

The order of the differential equation,
\[\dfrac{d^3y}{dx^3}+\left(\dfrac{dy}{dx}\right)^3+x^2+y^4=0\]

A.

4

B.

3

C.

2

D.

1

 View Ans

Q3.

If $ f(x)=|\cos x| $; then the Fourier series coefficient $ a_{0} $ and $ b_{0} $ is:

A.

$ 4/3\pi,\;0 $

B.

$ 4/\pi,\;0 $

C.

$ 1/3\pi,\;2/3\pi $

D.

$ 5/5\pi,\;4/3\pi $

 View Ans

Q4.

Find the limit

\(X(s)=\dfrac{10(s+1)}{s(s^2+4s+3)}\)

A.

\(10/3\)

B.

\(17/3\)

C.

\(10/7\)

D.

\(3/7\)

 View Ans

Q5.

Find the direction directive of
\[f(x, y, z)=x^2+y^2+3z^2\]
at P(1, 1, 1) in the direction of (1, 0, 2).

A.

\(\dfrac{11}{\sqrt{5}}\)

B.

\(\dfrac{14}{\sqrt{5}}\)

C.

\(\dfrac{17}{\sqrt{5}}\)

D.

\(\dfrac{21}{\sqrt{5}}\)

 View Ans


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