Mathematics · Calculus and Continuity
Find the values of a and b so that the function given below is continuous for 0 ≤ x ≤ π: f(x) = x + a√2 sin(x) for 0 ≤ x ≤ π/4 f(x) = 2x cot(x) + b for π/4 < x ≤ π/2 f(x) = a cos(2x) - b sin(x) for π/2 < x ≤ π
- 1-π/12, π/6
- 2-π/6, -π/12
- 3π/6, π/12
- 4π/6, -π/12✓
Correct answer
π/6, -π/12
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