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. $\dfrac{3}{4}$.

 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

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

 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. $3/7$

 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. $\dfrac{21}{\sqrt{5}}$

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