The table shows the activities and their durations and dependencies in a project.
| Activity | Duration (Days) | Depends on |
|---|---|---|
| A | 8 | - |
| B | 4 | A |
| C | 4 | B |
| D | 4 | C, L |
| F | 4 | A |
| G | 4 | F |
| H | 6 | G, L |
| K | 10 | A |
| L | 6 | F, K |
The total duration (in days) of the project is __________ (in integer).
A partial differential equation
$$\frac{\partial^2 T}{\partial x^2} + \frac{\partial^2 T}{\partial y^2} = 0$$
is defined for the two-dimensional field $T: T(x, y)$, inside a planar square domain of size 2 m × 2 m. Three boundary edges of the square domain are maintained at value $T = 50$, whereas the fourth boundary edge is maintained at $T = 100$.
The value of $T$ at the center of the domain is
The statements P and Q are related to matrices A and B, which are conformable for both addition and multiplication.
P: $(A + B)^T = A^T + B^T$
Q: $(AB)^T = B^T A^T$
Which one of the following options is CORRECT?
The second derivative of a function $f$ is computed using the fourth-order Central Divided Difference method with a step length $h$. The CORRECT expression for the second derivative is