MCQOPTIONS
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MCQOPTIONS
This section includes 8 Mcqs, each offering curated multiple-choice questions to sharpen your Ordinary Differential Equations knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
What is the degree of the differential equation, x3-6x3y3+2xy=0? |
| A. | 3 |
| B. | 5 |
| C. | 6 |
| D. | 8 |
| Answer» D. 8 | |
| 2. |
What is the derivative of z=3x*logx+5x6 with respect to x? |
| A. | 3+30x<sup>5</sup> e<sup>x</sup> |
| B. | 3+5x<sup>6</sup> e<sup>x</sup>+30x<sup>5</sup> e<sup>x</sup> |
| C. | 3+5x<sup>6</sup> e<sup>x</sup> |
| D. | 3+3logx+30x<sup>5</sup> e<sup>x</sup> |
| Answer» E. | |
| 3. |
What is the maximum area of the rectangle with perimeter 650 mm? |
| A. | 26,406.25 mm<sup>2</sup> |
| B. | 26,406 mm<sup>2</sup> |
| C. | 24,000 mm<sup>2</sup> |
| D. | 24,075 mm<sup>2</sup> |
| Answer» B. 26,406 mm<sup>2</sup> | |
| 4. |
Which of the following relations hold true? |
| A. | i i = j j = k k = 1 |
| B. | i j = -k, j i = k |
| C. | i i = j j = k k = 0 |
| D. | k i = -j, i k = j |
| Answer» D. k i = -j, i k = j | |
| 5. |
What is the time taken by the particle to cover a distance of 98 meters, if the particle is moving with a velocity given by, ( frac{dx}{dt}= frac{1}{x} ) (x is the distance)? |
| A. | 48 s |
| B. | 50 s |
| C. | 98 s |
| D. | 49 s |
| Answer» E. | |
| 6. |
The intercept of a normal line on y axis is given by, (y+ frac{x}{y }. ) |
| A. | True |
| B. | False |
| Answer» B. False | |
| 7. |
What is the formula for the intercept of tangent line on x-axis? |
| A. | (x- frac{y}{y } ) |
| B. | (y- frac{x}{y } ) |
| C. | y xy |
| D. | y x y |
| Answer» B. (y- frac{x}{y } ) | |
| 8. |
Who invented the rectangular coordinate system? |
| A. | Frans van Schooten |
| B. | Ren Descartes |
| C. | Isaac Newton |
| D. | Gottfried Wilhelm Leibniz |
| Answer» C. Isaac Newton | |