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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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15. (10pt) Find the Fourier transform of the function:
其他申論題
(12) (10pt) Calculate the matrix function, where the matrix M is defined as
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(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?
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(a) (5pt) Express the surface equation in the form f(x, y,z) =1. Find f(x,y,z).
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(b) (5pt) Find the unit normal vector of the surface at an arbitrary point.
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(a) Prepare the journal entries required for the depot and the environmental liability on January 1, 2015.
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(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.
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(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.
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(a) Compute deferred tax asset and deferred tax liability at December 31, 2015.
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(b) Compute taxable income for 2015.
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(c) Prepare the journal entry to record income taxes payable, deferred taxes, and income tax expense for 2015.
#450252
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