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2. Find the equation of the tangent line to the graph of the equation x sin y = y cos x at the point. (10 points)

其他申論題

5. (15 分) Is it true thatJustify your answer.

6. (10 分) Determine whether the equation 1 + 2x + x3 + 4x5 = 0 has exactly one real root. Justify your answer.

7. (15 分) Is the function continuous on(-∞, ∞)? Justify your answer.

1. Find the limit (10 points)

4. Find the area under the parametric curve x = a(t - sin t), y = a(1 - cos t), 0 ≤ t ≤ 2π, a ＞ 0. (10 points)

5. Find the extreme values of f(x, y, z) = x - y + z on the unit sphere x² + y² + z² = 1. (10 points)

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