MCQOPTIONS
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MCQOPTIONS
This section includes 9 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. |
f(x, y) = sin(xy + x3y) / x + x3 Find fxy at (0,1). |
| A. | 2 |
| B. | 5 |
| C. | 1 |
| D. | undefined |
| Answer» D. undefined | |
| 2. |
f(x, y) = sin(y + yx2) / 1 + x2 Value of fxy at (0,1) is |
| A. | 0 |
| B. | 1 |
| C. | 67 |
| D. | 90 |
| Answer» B. 1 | |
| 3. |
The gradient of a function is parallel to the velocity vector of the level curve. |
| A. | True |
| B. | False |
| Answer» C. | |
| 4. |
The existence of first order partial derivatives implies continuity. |
| A. | True |
| B. | False |
| Answer» C. | |
| 5. |
f(x, y, z, t) = xy + zt + x2 yzt; x = k3 ; y = k2; z = k; t = √kFind df⁄dt at k = 1 |
| A. | 34 |
| B. | 16 |
| C. | 32 |
| D. | 61 |
| Answer» C. 32 | |
| 6. |
f(x, y) = sin(x) + cos(y) + xy2; x = cos(t); y = sin(t) Find df⁄dt at t = π⁄2 |
| A. | 2 |
| B. | -2 |
| C. | 1 |
| D. | 0 |
| Answer» C. 1 | |
| 7. |
f(x, y) = x2 + y3 ; X = t2 + t3; y = t3 + t9 Find df⁄dt at t=1. |
| A. | 0 |
| B. | 1 |
| C. | -1 |
| D. | 164 |
| Answer» E. | |
| 8. |
f(x, y) = sin(xy) + x2 ln(y) Find fyx at (0, π⁄2) |
| A. | 33 |
| B. | 0 |
| C. | 3 |
| D. | 1 |
| Answer» E. | |
| 9. |
f(x, y) = x2 + xyz + z Find fx at (1,1,1) |
| A. | 0 |
| B. | 1 |
| C. | 3 |
| D. | -1 |
| Answer» D. -1 | |