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This section includes 7 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. |
Consider the vertical cone. The minimum value of the function in the region f(x,y) = c is? |
A. | constant |
B. | 1 |
C. | 0 |
D. | -1 |
Answer» B. 1 | |
2. |
f(x, y)= (10y(10y-1)+( frac{x^3sin(x^2)tan(x^3)}{(x-1)^3})-100y^2 ). Find the critical points |
A. | (0,0) |
B. | (1,1) |
C. | (2,22) |
D. | None exist |
Answer» E. | |
3. |
A man travelling onf(x, y) = sin(xy). His shadow passing through the origin in a straight line (sun travels with him overhead).
|
A. | There isn t such a line |
B. | 1 |
C. | -1 |
D. | 0 |
Answer» B. 1 | |
4. |
The point (0,0) in the domain of f(x, y) = sin(xy) is a point of ___________ |
A. | Saddle |
B. | Minima |
C. | Maxima |
D. | Constant |
Answer» E. | |
5. |
f(x, y) = sin(x).cos(y) Which of the following is a critical point? |
A. | (<sup> </sup> <sub>4</sub>, <sup> </sup> <sub>4</sub>) |
B. | (- <sup> </sup> <sub>4</sub>, <sup> </sup> <sub>4</sub>) |
C. | (0, <sup> </sup> <sub>2</sub>) |
D. | (0, 0) |
Answer» D. (0, 0) | |
6. |
The critical point exist for the function f(x, y) = xn + xn-1 y + +yn at (0,0). |
A. | True |
B. | False |
Answer» C. | |
7. |
Consider the f(x, y) = x2 + y2 a. For what values of a do we have critical points for the function. |
A. | independent of a |
B. | for any real number except zero |
C. | a (0, + ) |
D. | a (-1, 1) |
Answer» B. for any real number except zero | |