Match the following:
| List–I | List–II |
|---|---|
| A. Ball and socket joint | I. Inter carpal joint |
| B. Hinge joint | II. Between humerus and Pectoral girdle |
| C. Pivot joint | III. Between carpals and metacarpals |
| D. Gliding joint | IV. Between atlas and axis |
| V. Knee joint |
Draw a rough sketch for the curve $y = 2 + |x + 1|$. Using integration, find the area of the region bounded by the curve $y = 2 + |x + 1|$, $x = -4$, $x = 3$, and $y = 0$.
For the curve \( \sqrt{x} + \sqrt{y} = 1 \), find the value of \( \frac{dy}{dx} \) at the point \( \left(\frac{1}{9}, \frac{1}{9}\right) \).