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研究所、轉學考(插大)◆工程數學
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110年 - 110 國立中央大學_碩士班招生考試_光電類：工程數學#105768
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題組內容
14. (10pt) A surface is parameterized by u and v as
Here 0≤u≤2π, -∞＜V＜∞.
(a) (5pt) Express the surface equation in the form f(x, y,z) =1. Find f(x,y,z).
其他申論題
(5) What is the purpose of authentication? What is non-repudiation?
#450240
Part B. Solving the following problems(50%)(每一大題10分,請務必寫出計算過程) (11) (10pt) Find the rank of A:
#450241
(12) (10pt) Calculate the matrix function, where the matrix M is defined as
#450242
(13)(10pt )For a quadratic form Q = xTAx, if for any nonzero we always have Q ＞0, then this quadratic form is positive definite. For n=3 and , is the quadratic form Q=x TAx positive definite?
#450243
(b) (5pt) Find the unit normal vector of the surface at an arbitrary point.
#450245
15. (10pt) Find the Fourier transform of the function:
#450246
(a) Prepare the journal entries required for the depot and the environmental liability on January 1, 2015.
#450247
(b) Prepare any journal entries required for the depot and the environmental liability on December 31, 2015. BBB uses straight-line depreciation； the estimated residual value for the depot is zero.
#450248
(c) On December 31, 2024, BBB pays a demolition firm to dismantle the depot and remove the tanks at a price of $30,000. Prepare the journal entry for the settlement of the environmental liability.
#450249
(a) Compute deferred tax asset and deferred tax liability at December 31, 2015.
#450250
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