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研究所、轉學考(插大)-微積分
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93年 - 93 淡江大學 轉學考 微積分#56433
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9. Find and classify all relative extrema for the function f(x,y) = x
4
+ y
4
- 4xy
其他申論題
【已刪除】5.
#214367
6. What is Ihe fair price io pay today for a sland of timber that will yield $1000 worth of lumber per year inclcfMuleiy, assuming the operating costs are negligible and Urnl'prevailing inierest rales remain constant at r ?= 5% ?
#214368
【已刪除】7. Dctenuine whether the series, is convergent or diveigent ? Give your reason.
#214369
8. Approximate siu(0,3) accurate lo Ihe 4th decimal pluce. Give tlie maximal possible error
#214370
【已刪除】10. Fiiul the volume of tlie solid lliat is bovmdetl by tlie surface and over the region bomided by x- axis , y=x and x=2
#214372
1 . (20%) In a two-dimensional, planar flow of an incompressible fluid，the x-component of velocity is given by u = x2 + x - 2y Can you find an expression for v?
#214373
2. (20%) The velocity field of a steady, incompressible flow is given as V = (3x2 - 2xy)i + (y2 - 6xy + 3 yz2)j -(z3 + xy2)k. Determine the pressure gradient at the position (x，y，z) = (2，3，1),
#214374
3. (20%) Calculate the circulation about the square enclosed by x = ±1 and y = ±1 in the xy-plane for the two-dimensional flow given by V = (3x2 + y)i - (6xy + x)j
#214375
【已刪除】4. (20%) A steady，two-dimensional, incompressible flow occurs between two fixed plane surfaces spaced at a distance b apart. The velocity profile is a parabola with its vertex at the center line. Determine the stream
#214376
【已刪除】5. (20%) For turbulent flow in a smooth pipe with pVD/μ ＜ 105，the velocity profile in the turbulent core can be approximated by the following power equation: where y and r are respectively the distances measured from the pipe wall and the pipe axis, and ro is the radius of the pipe. What is the average velocity V of this pipe flow if expressed in umax?
#214377
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