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115年 - [無官方正解]115 國立臺灣大學_ 碩士班招生考試試題:免疫學(A)#137743
> 申論題
3.Please describe 3 main differences between innate immunity and adaptive immunity.
相關申論題
4.Activation of naïve T cells by antigen-presenting cells is the hallmark of cellular immunity. Please describe the three kinds of signals and their effects that are involved in the activation of naïve T cells.
#564234
1.Determine whether converges or diverges.
#564235
2.Find the least value a such that for everyx > 0.
#564236
(a) For every x € [0,2π], determine .
#564237
(b) Is the convergence in part (a) uniform on [0, 2π]? Justify your answer.
#564238
4. Fix positive numbers a,b, c. For any (x, y, z) on the ellipsoid x²/a² + y²/b² + z²/c² = 1 with x > 0, y >0,z >0, let A(x, y, z), B(x, y,z) and C(x, y, z) be the intercept that the tangent plane of the ellipsoid at (x,y, z) makes on the x-axis, the y-axis and the z-axis, respectively. Find the minimum of A(x,y, z) + B(x, y, z) +C(x,y, z).
#564239
5. Let U be the region in R² defined by r ≤1+ cos in polar coordinate. Let y be the boundary of U; namely, y is given by r = 1 + cos 0 in polar coordinate. Does there exist a second continuously differentiable function f(x,y) on such that = 2x+ 3y² at every (x, y) ∈ U,and = (4x2-3y²+x,y³ –6y) atevery (x,y) ∈y? Ifyour answer is YES, construct such a function. If your answer is NO, give a proof.
#564240
6.Let Σ be the part of the paraboloid z = x²+y² that lies within the cylinder x² + y² = 1. Let n be its upward unit normal field. For the vector field F = (2x + e + z², In(z + 2) - y, 2), compute the flux integral .nds.
#564241
1. = (1) .
#564242
(a) Find the Taylor series for centered at a = 0. (2) .
#564243
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