Question
Mathematics Question on Differential Calculus
For 𝑥∈ℝ, the curve 𝑦=𝑥2 intersects the curve 𝑦=𝑥 sin 𝑥+cos 𝑥 at exactly 𝑛 points. Then, 𝑛 equals
A
1
B
2
C
4
D
8
Answer
2
Explanation
Solution
The correct option is (B): 2
For 𝑥∈ℝ, the curve 𝑦=𝑥2 intersects the curve 𝑦=𝑥 sin 𝑥+cos 𝑥 at exactly 𝑛 points. Then, 𝑛 equals
1
2
4
8
2
The correct option is (B): 2