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8. (10 points) Find the volume of the solid bounded by the surfaceabove the plane region R: x²+ y²≤9.

其他申論題

5. (10 points) Consider the function given by Find the interval of convergence for

6. (12 points) Sketch the graph of the function (包含截距,漸進線,極值,凹性,反曲點等).

7. (10 points) Find the points on the hyperbolic cylinder x2 - z2 - 1 = 0 that are closest to the origin.

1. After t weeks, a factory is producing N(t) thousand computers, where At what rate is the production level changing after 4 weeks? Is production increasing or decreasing at this time? Explain your answer. (10 points)

a. How many bottles should Smith order in each shipment to minimize total cost? (10 points)

b. How often should Smith order the perfume? (5 points)

a. f(t) = ln sin²t (5 points)

b. f(t) = ln tan²t (5 points)

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