Question

The area (in square units) bounded by \[ x = 4, \quad y = -4, \quad \text{and} \quad y = x \quad \text{is:} \]

• A. 48
• B. 32
• C. 24
• D. 16

Hint:

To find the area bounded by curves, set up the appropriate definite integral using the limits of integration based on the curves and the region of interest.

Answer 1

The Correct Option is B

We need to find the area bounded by the curves \( x = 4 \), \( y = -4 \), and \( y = x \). This can be done by calculating the definite integral over the appropriate bounds for the region. After performing the integration, we find the area to be 32 square units. Thus, the correct answer is option (2).