API · no tools. This is the prompt and response recorded for this attempt; a full solution may not have been returned.
Problem Statement
This is a Korean CSAT mathematics multiple-choice problem. Solve it and put only the correct choice symbol, one of ①, ②, ③, ④, ⑤, inside \boxed{}.
Problem 27 LetCbe the curve given parametrically by x=e 4t(1 + sin2 πt), y=e 4t(1−3 cos 2 πt). LetPbe the point whereCintersects the liney= 3x−5e. Determine the slope of the tangent toCatP. [3 points] ① 3π−4 π+ 4 ② 3π−2 π+ 6 ③ 3π π+ 8 ④ 3π+ 2 π+ 10 ⑤ 3π+ 4 π+ 12
Ground Truth
②
Recorded model response / solution
Reasoning Process
\boxed{⑤}
Final Model Output
⑤
Comparative Analysis (P34) (Average across runs)
Averages use reported measurements only. Missing usage is not treated as zero.
Avg Time Taken
Kimi K3
198.1
Motif 3
103.3
Solar Pro 4
35.8
K-EXAONE-2
7.8
Avg Token Usage
Kimi K3
5294.7
K-EXAONE-2
2145.0
Solar Pro 4
2023.0