MCQOPTIONS
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MCQOPTIONS
This section includes 13 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 laplace transform of y(t)=e|t-1| u(t). |
| A. | ( frac{2s}{1-s^2} e^s ) |
| B. | ( frac{2s}{1+s^2} e^{-s} ) |
| C. | ( frac{2s}{1+s^2} e^s ) |
| D. | ( frac{2s}{1-s^2} e^{-s} ) |
| Answer» E. | |
| 2. |
Find the value of ( int_0^{ infty} tsin(t)cos(t) ). |
| A. | s s<sup>2</sup>+2<sup>2</sup> |
| B. | a a<sup>2</sup>+s<sup>4</sup> |
| C. | 1 |
| D. | 0 |
| Answer» E. | |
| 3. |
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. | |
| 4. |
Value of ( int_{- infty}^ infty e^t ,log(1+t)dt ) = ? |
| A. | Sum of infinite integers |
| B. | Sum of infinite factorials |
| C. | Sum of squares of Integers |
| D. | Sum of square of factorials |
| Answer» C. Sum of squares of Integers | |
| 5. |
Value of ( int_{- infty}^ infty e^t ,Sin(t) ,dt ) = ? |
| A. | 0.50 |
| B. | 0.25 |
| C. | 0.17 |
| D. | 0.12 |
| Answer» B. 0.25 | |
| 6. |
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 | |
| 7. |
Find the laplace transform of t5 2. |
| A. | ( frac{15}{8} frac{ }{s^{5/2}} ) |
| B. | ( frac{15}{8} frac{ }{s^{7/2}} ) |
| C. | ( frac{9}{4} frac{ }{s^{7/2}} ) |
| D. | ( frac{15}{4} frac{ }{s^{7/2}} ) |
| Answer» C. ( frac{9}{4} frac{ }{s^{7/2}} ) | |
| 8. |
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. | |
| 9. |
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} ) | |
| 10. |
Laplace transform if cos (at)u(t) is? |
| A. | s a<sup>2</sup>+s<sup>2</sup> |
| B. | a a<sup>2</sup>+s<sup>2</sup> |
| C. | s<sup>2</sup> a<sup>2</sup>+s<sup>2</sup> |
| D. | a<sup>2</sup> a<sup>2</sup>+s<sup>2</sup> |
| Answer» B. a a<sup>2</sup>+s<sup>2</sup> | |
| 11. |
Laplace transform if sin (at)u(t) is? |
| A. | s a<sup>2</sup>+s<sup>2</sup> |
| B. | a a<sup>2</sup>+s<sup>2</sup> |
| C. | s<sup>2</sup> a<sup>2</sup>+s<sup>2</sup> |
| D. | a<sup>2</sup> a<sup>2</sup>+s<sup>2</sup> |
| Answer» C. s<sup>2</sup> a<sup>2</sup>+s<sup>2</sup> | |
| 12. |
Laplace transform any function changes it domain to s-domain. |
| A. | True |
| B. | False |
| Answer» B. False | |
| 13. |
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 ) | |