MCQOPTIONS
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MCQOPTIONS
This section includes 10 Mcqs, each offering curated multiple-choice questions to sharpen your Engineering Mathematics knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Find the value of \(\int_0^{\infty} tsin(t)cos(t)\). |
| A. | s ⁄ s2+22 |
| B. | a ⁄ a2+s4 |
| C. | 1 |
| D. | 0 |
| Answer» E. | |
| 2. |
Find the laplace transform of y(t)=et.t.Sin(t)Cos(t). |
| A. | \(\frac{4(s-1)}{[(s-1)^2+4]^2}\) |
| B. | \(\frac{2(s+1)}{[(s+1)^2+4]^2}\) |
| C. | \(\frac{4(s+1)}{[(s+1)^2+4]^2}\) |
| D. | \(\frac{2(s-1)}{[(s-1)^2+4]^2}\) |
| Answer» E. | |
| 3. |
Value of \(\int_{-\infty}^\infty e^t \,Sin(t)Cos(t)dt\) = ? |
| A. | 0.5 |
| B. | 0.75 |
| C. | 0.2 |
| D. | 0.71 |
| Answer» D. 0.71 | |
| 4. |
Find the laplace transform of t5⁄2. |
| A. | \(\frac{15}{8} \frac{√π}{s^{5/2}}\) |
| B. | \(\frac{15}{8} \frac{√π}{s^{7/2}}\) |
| C. | \(\frac{9}{4} \frac{√π}{s^{7/2}}\) |
| D. | \(\frac{15}{4} \frac{√π}{s^{7/2}}\) |
| Answer» C. \(\frac{9}{4} \frac{√π}{s^{7/2}}\) | |
| 5. |
Laplace transform of t2 sin(2t). |
| A. | \(\left [\frac{12s^2-16}{(s^2+4)^4}\right ]\) |
| B. | \(\left [\frac{3s^2-4}{(s^2+4)^3}\right ]\) |
| C. | \(\left [\frac{12s^2-16}{(s^2+4)^6}\right ]\) |
| D. | \(\left [\frac{12s^2-16}{(s^2+4)^3}\right ]\) |
| Answer» E. | |
| 6. |
Find the laplace transform of et Sin(t). |
| A. | \(\frac{a}{a^2+(s+1)^2}\) |
| B. | \(\frac{a}{a^2+(s-1)^2}\) |
| C. | \(\frac{s+1}{a^2+(s+1)^2}\) |
| D. | \(\frac{s+1}{a^2+(s+1)^2}\) |
| Answer» C. \(\frac{s+1}{a^2+(s+1)^2}\) | |
| 7. |
Laplace transform if cos(at)u(t) is? |
| A. | s ⁄ a2+s2 |
| B. | a ⁄ a2+s2 |
| C. | s2 ⁄ a2+s2 |
| D. | a2 ⁄ a2+s2 |
| Answer» B. a ⁄ a2+s2 | |
| 8. |
Laplace transform if sin(at)u(t) is? |
| A. | s ⁄ a2+s2 |
| B. | a ⁄ a2+s2 |
| C. | s2 ⁄ a2+s2 |
| D. | a2 ⁄ a2+s2 |
| Answer» C. s2 ⁄ a2+s2 | |
| 9. |
Laplace transform any function changes it domain to s-domain. |
| A. | True |
| B. | False |
| Answer» B. False | |
| 10. |
Laplace of function f(t) is given by? |
| A. | F(s)=\(\int_{-\infty}^\infty f(t)e^{-st} \,dt\) |
| B. | F(t)=\(\int_{-\infty}^\infty f(t)e^{-t} \,dt\) |
| C. | f(s)=\(\int_{-\infty}^\infty f(t)e^{-st} \,dt\) |
| D. | f(t)=\(\int_{-\infty}^\infty f(t)e^{-t} \,dt\) |
| Answer» B. F(t)=\(\int_{-\infty}^\infty f(t)e^{-t} \,dt\) | |