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. |
A sphere with the dimensions is shown in the figure. What is the error that can be incorporated in the radius such that the volume will not change more than 10%? |
| A. | 0.3183% |
| B. | 0.03183% |
| C. | 31.83% |
| D. | 3.183% |
| Answer» C. 31.83% | |
| 3. |
What is the derivative of z=3x*logx+5x6 with respect to x? |
| A. | 3+30x5 ex |
| B. | 3+5x6 ex+30x5 ex |
| C. | 3+5x6 ex |
| D. | 3+3logx+30x5 ex |
| Answer» E. | |
| 4. |
What is the maximum area of the rectangle with perimeter 650 mm? |
| A. | 26,406.25 mm2 |
| B. | 26,406 mm2 |
| C. | 24,000 mm2 |
| D. | 24,075 mm2 |
| Answer» B. 26,406 mm2 | |
| 5. |
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 | |
| 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. | René Descartes |
| C. | Isaac Newton |
| D. | Gottfried Wilhelm Leibniz |
| Answer» C. Isaac Newton | |