...help you. Legal Society may help, but there is no guarantee. 2. Evaluate your legal fees one by one with full explanation. 3. This ...
..., you will be informed to attend an interview in which you are evaluated to be qualified or not. And this is the same thing when you...
分類：家庭及人際關係 > 家人 2017年11月15日
Sol y=x^(3/2)/(x^2+1) yx^2+y=x^(3/2) 2xy+x^2y’+y’=(3/2)x^(1/2) (x^2+1)y’=(3/2)x^(1/2)-2xy =(3/2)x^(1/2)－2x*x^(3/2)/(x^2+1) =(3/2)x^(1/2)－2x^(5/2)/(x^2+1) y’=(3/2)x^(1/2)/(x^2+1)－2x^(5/2)/(x^2+1)^2 (x^2+1)y’=(3/2)x^(1/2)-2xy (x^2+1)y”+2xy’=(3/4)x^(－1/2)－2xy’－2y (x^2+1)y”=(3/4)x^(－1/2)－4xy’－2y =(3/4)x^(－1/2)－4x*[(3/2)x^(1/2)/(x^2...
Sol f(t)=[(3^t+5^t)/3]^(1/t) lim(t->∞)_[(3^t+5^t)/3]^(1/t) =lim(t->∞)_[5^t*(3^t/5^t+5^t/5^t)/3]^(1/t) =lim(t->∞)_｛5^t*[(3/5)^t+1]/3｝^(1/t) =lim(t->∞)_[5^t*(0+1)/3]^(1/t) =lim(t->∞)_(5^t/3)^(1/t)/1 =5
(a) f( 1 , -1 , 2 ) = ( 4 - 1 - 1 ) ^ 1/2 = √2 ..... Ans (b) 4 - x² - y² ≧ 0 x² + y² ≦ 4 domain ( f ) = { ( x, y, z ) ｜ 0 ≦ x² + y² ≦ 4 and z ∈ R } , a cylinder with infinite height. (c) 0 ≦ x² + y² ≦ 4 , 0 ≦ 4 - x²...
(a) Given r = 4i + 3j - 2tk dr/dt = d(4i + 3j - 2tk)/dt = d(4i)/dt + d(3j)/dt - d(2tk/dt) = -2k (b) dr/dt represents the velocity of the object.
...f''(x) dx. 2. Let x = a(t - sin t), y = a(1 - cos t), a = constant. Evaluate the integrals: ∫(0,π) √[(dx/dt)² + (dy/dt)²] dt, ∫(0,π...
Question： 1. Evaluate ∫(0,π/4) (sec²x)/√(1 - tan²x) dx by substitution tan x = sin y...
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∫ 1/(x² + x - 2) dx, from 2 to ∞ = lim [t→∞] ∫ 1/(x² + x - 2) dx, from 2 to t = lim [t→∞] ∫ 1/[(x + 2) (x - 1)] dx, from 2 to t = lim [t→∞] ∫ { 1/[3(x - 1)] - 1/[3(x + 2)] } dx, from 2 to t = (1/3) lim [t→∞] [ ln|x - 1| - ln|x + 2| ] , from 2 to t = (1/3) lim [t→∞] ln[(t - 1)/(t + 2)] + (1/3) ln4 = 0 +(1/3) ln2²...
