1. The user asked to solve their final practice exam for Calculus 3, which likely contains multiple problems. 2. According to the instructions, I must identify the number of distinct problems but solve only the first one. 3. However, the user did not provide any specific problem from the exam. 4. Therefore, I cannot solve any problem without a specific question. 5. Please provide the first problem from your Calculus 3 practice exam for me to solve it step-by-step.