MCQOPTIONS
Saved Bookmarks
MCQOPTIONS
This section includes 14 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. |
If f(t) = cos(at + b), its Laplace transform is given by? |
| A. | \(\frac{a}{s^2+a^2}\) b) \(\frac{2as}{(s^2+a^2)^2}\) c) \(\frac{scos(b)-asin( |
| B. | , its Laplace transform is given by?a) \(\frac{a}{s^2+a^2}\) b) \(\frac{2as}{(s^2+a^2)^2}\) |
| C. | \(\frac{scos(b)-asin(b)}{s^2+a^2}\) |
| D. | Does not exist |
| Answer» D. Does not exist | |
| 2. |
If f(t) = sin(at + b), its Laplace transform is given by?a) Indeterminateb) \(\frac{(s)sin(b)+acos(b)}{s^2+a^2}\) c) \(\frac{s^2-a^2}{(s- |
| A. | Indeterminateb) \(\frac{(s)sin(b)+acos( |
| B. | , its Laplace transform is given by?a) Indeterminateb) \(\frac{(s)sin(b)+acos(b)}{s^2+a^2}\) |
| C. | \(\frac{s^2-a^2}{(s-a)^2}\) |
| D. | \(\frac{2a^3}{(s^2+a^2)}\) |
| Answer» C. \(\frac{s^2-a^2}{(s-a)^2}\) | |
| 3. |
If f(t) = cos(at) + atsin(at), its Laplace transform is given by? |
| A. | \(\frac{s+a}{s-a}\) |
| B. | \(\frac{a^3}{(s^2+a^2)^2}\) |
| C. | \(\frac{s(s^2+3a^2)}{(s^2+a^2)^2}\) |
| D. | Does not exist |
| Answer» D. Does not exist | |
| 4. |
If f(t) = cos(at) – atsin(at), then its Laplace transform is given by? |
| A. | sinat2 |
| B. | \(\frac{s(s^2-a^2)}{(s^2+a^2)^2}\) |
| C. | \(\frac{\Gamma(p+1)}{s^{p+1}}\) |
| D. | Does not exist |
| Answer» C. \(\frac{\Gamma(p+1)}{s^{p+1}}\) | |
| 5. |
If f(t) = sin(at) – atcos(at), then its Laplace transform is given by? |
| A. | Indeterminate form is encountered |
| B. | a3 ⁄ (s2 + a2)2 |
| C. | 2a3 ⁄ (s2 – a2)2 |
| D. | 2a3 ⁄ (s2 + a2)2 |
| Answer» E. | |
| 6. |
If f(t) = tcos(at), its Laplace transform is given by? |
| A. | 1 ⁄ s-a |
| B. | s2 – a2 ⁄ (s2+a2)2 |
| C. | Indeterminate |
| D. | s2at |
| Answer» C. Indeterminate | |
| 7. |
If f(t) = cos(at), its Laplace transform is given by? |
| A. | s ⁄ s2+a2 |
| B. | a ⁄ s2+a2 |
| C. | √π ⁄ 2√s |
| D. | Does not exist |
| Answer» B. a ⁄ s2+a2 | |
| 8. |
If f(t) = tp where p > – 1, its Laplace Transform is given by? |
| A. | √π ⁄ 2√s |
| B. | f(t) = tsin(at) |
| C. | γ(p+1) ⁄ sp+1 |
| D. | Does not exist |
| Answer» E. | |
| 9. |
If f(t) = eat, its Laplace Transform is given by? |
| A. | a ⁄ s2+a2 |
| B. | √π ⁄ 2√s |
| C. | 1 ⁄ s-a |
| D. | Does not exist |
| Answer» D. Does not exist | |
| 10. |
If f(t) = tsin(at) then its Laplace Transform is given by? |
| A. | 2as ⁄ (s2+a2)2 |
| B. | a ⁄ s2+a2 |
| C. | Indeterminate |
| D. | √π ⁄ 2√s |
| Answer» B. a ⁄ s2+a2 | |
| 11. |
If f(t) = sin(at), then its Laplace Transform is given by? |
| A. | cos(at) |
| B. | 1 ⁄ asin(at) |
| C. | Indeterminate |
| D. | a ⁄ s2+a2 |
| Answer» E. | |
| 12. |
If f(t)=√t, then its Laplace Transform is given by? |
| A. | 1⁄2 |
| B. | 1⁄s |
| C. | √π ⁄ 2√s |
| D. | Does not exist |
| Answer» D. Does not exist | |
| 13. |
If f(t) = tn where, ‘n’ is an integer greater than zero, then its Laplace Transform is given by? |
| A. | n! |
| B. | tn+1 |
| C. | n! ⁄ sn+1 |
| D. | Does not exist |
| Answer» D. Does not exist | |
| 14. |
If f(t) = 1, then its Laplace Transform is given by? |
| A. | s |
| B. | 1⁄s |
| C. | 1 |
| D. | Does not exist |
| Answer» C. 1 | |