1 Find the slope of line targent to the graph y^2+x^y=3x^2 at the point (2.2) 2 find the area of the region enclosed by the lemniscate r^2=cos(2Θ) 3 find the directional derivative of f(x,y)=xe^-y at the point (1,0)in the direction Θ=π/4 4 ∫arc sinx dx 5 suppose g is inverse function of a differentiable function f and let G(x)=1/g(x) if f(3)=2 and f'(3)=1/9 then G'(2)=? 6 ∫上为π/8 下为0 cos3xcosxdx =? 7 the equation of targent line to the graph of the function f(x)=x/1+√x at the point (1,1/2) is ? 8 evaluate the inerated integral ∫上为1 下为0 x^5 * x^3+1开根号 dx --

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