MCQOPTIONS
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MCQOPTIONS
This section includes 8 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. |
The curvature function of some function is given to be k(x) = 1 ‚ÅÑ [2 + 2x + x2]3 ‚ÅÑ 2 then which of the following function?# |
| A. | |
| B. | <sup>x<sup>2</sup></sup>‚ÅÑ<sub>2</sub> + x + 101 |
| C. | <sup>x<sup>2</sup></sup>‚ÅÑ<sub>4</sub> + 2x + 100 |
| D. | x<sup>2</sup> + 13x + 101 |
| Answer» B. <sup>x<sup>2</sup></sup>‚Äö√Ñ√∂‚àö√ñ‚àö√´<sub>2</sub> + x + 101 | |
| 2. |
Given x = k1ea1t : y = k2ea2t it is observed that the curvature function obtained is zero. What is the relation between a1 and a2 |
| A. | a<sub>1</sub> ≠ a<sub>2</sub> |
| B. | a<sub>1</sub> = a<sub>2</sub> |
| C. | a<sub>1</sub> = (a<sub>2</sub>)<sup>2</sup> |
| D. | a<sub>2</sub> = (a<sub>1</sub>)<sup>2</sup> |
| Answer» C. a<sub>1</sub> = (a<sub>2</sub>)<sup>2</sup> | |
| 3. |
The curvature of a function depends directly on leading coefficient when x=0 which of the following could be f(x) |
| A. | y = 323x<sup>3</sup> + 4334x + 10102 |
| B. | y = x<sup>5</sup> + 232x<sup>4</sup> + 232x<sup>2</sup> + 12344 |
| C. | y = ax<sup>5</sup> + c |
| D. | f(x) = x<sup>3</sup> – x + 1 |
| Answer» E. | |
| 4. |
The curvature of the function f(x) = x3 – x + 1 at x = 1 is given by |
| A. | ∣<sup>6</sup>⁄<sub>5</sub> ∣ |
| B. | ∣<sup>3</sup>⁄<sub>5</sub> ∣ |
| C. | ∣<sup>6</sup>⁄ 5<sup><sup>3</sup>⁄<sub>2</sub></sup> ∣ |
| D. | ∣<sup>3</sup>⁄ 5<sup><sup>3</sup>⁄<sub>2</sub></sup>∣ |
| Answer» D. ‚Äö√Ñ√∂‚àö‚Ƭ¨¬£<sup>3</sup>‚Äö√Ñ√∂‚àö√ñ‚àö√´ 5<sup><sup>3</sup>‚Äö√Ñ√∂‚àö√ñ‚àö√´<sub>2</sub></sup>‚Äö√Ñ√∂‚àö‚Ƭ¨¬£ | |
| 5. |
Let c(f(x)) denote the curvature function of given curve f(x). The value of c(c(f(x))) is observed |
| A. | |
| B. | f(x) = x<sup>3</sup> + x + 1 |
| C. | f(x)<sup>2</sup> + y<sup>2</sup> = 23400 |
| D. | f(x) = x<sup>19930</sup> + x + 90903 |
| Answer» C. f(x)<sup>2</sup> + y<sup>2</sup> = 23400 | |
| 6. |
Find the curvature of the function f(x) = 3x3 + 4680x2 + 1789x + 181 at x = -520 |
| A. | 1 |
| B. | 0 |
| C. | 42 |
| D. | -520 |
| Answer» C. 42 | |
| 7. |
The curvature of the function f(x) = x2 + 2x + 1 at x = 0 is |
| A. | <sup>3</sup>‚ÅÑ<sub>2</sub> |
| B. | 2 |
| C. | ∣2 / 5<sup><sup>3</sup>⁄<sub>2</sub></sup>∣ |
| D. | 0 |
| Answer» D. 0 | |
| 8. |
The curvature of a function f(x) is zero. Which of the following functions could be f(x) |
| A. | ax + b |
| B. | ax<sup>2</sup> + bx + c |
| C. | sin(x) |
| D. | cos(x) |
| Answer» B. ax<sup>2</sup> + bx + c | |