⚔️ YOUR EXACT PROBLEM LIST (CHAPTER 6) 🟢 LAYER 1 — CORE (DO THESE ONLY) 📘 Section 6.1 (Areas)
Do:
1, 3, 7, 9 13, 15
👉 skip the rest
📘 Section 6.2 (Volumes - washers)
Do:
1, 3, 5 9, 11
👉 focus on setup, not speed
📘 Section 6.3 (Shells)
Do:
3, 5, 7 11, 13
👉 VERY important section
📘 Section 6.4 (Work)
Do:
1 (basic) 7 (spring) 13 (pumping) 17 (variable force) 📘 Section 6.5 (Average value)
Do:
1, 3, 7
👉 done. move on.
🔵 LAYER 2 — EDGE CASES
Now take ONLY these:
📘 From each section:
Do the last 4 problems
Example:
if section ends at 30 → do 27, 28, 29, 30 🔥 ALSO DO THESE (from what I saw in your pages):
Look for:
graph-based problems shaded regions “find volume generated” with weird axes 🔥 MUST DO (high value)
- Movie theater / viewing angle problem
👉 teaches:
modeling optimization thinking geometry + calculus mix 2. Baseball / motion / work problem
👉 teaches:
interpretation of integrals real-world meaning 3. Water / tank / liquid problem
👉 EXTREMELY important
appears everywhere (physics, engineering, interviews) 👉 pick ~2–3 per section
💀 LAYER 3 — PROBLEMS PLUS (MAIN FOCUS)
From your screenshots, here is the BEST ORDER:
🧠 Start with (Medium → Hard progression): #2 #3 #4 🔥 Then move to: #1 #5 💀 CORE HELL ZONE: #10 ← MUST DO #12 ← MUST DO ⚔️ FINAL BOSSES: #7 #8 #9 🚨 PRIORITY SUMMARY
If you’re short on time:
👉 DO ONLY THIS:
Layer 1 (selected) Problems Plus: 2, 3, 4, 10, 12
🔥 MUST DO (high value)
- Movie theater / viewing angle problem
👉 teaches:
modeling optimization thinking geometry + calculus mix 2. Baseball / motion / work problem
👉 teaches:
interpretation of integrals real-world meaning 3. Water / tank / liquid problem
👉 EXTREMELY important
appears everywhere (physics, engineering, interviews)