Calculus of several variables questions.

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#	Question
1	What is differential of 2x³ Mathematical Calculation
2	Use illustrative sketches to evaluate the integral $int_{R}int dA$ where R bounded by the lines $y-2x-1=0 , y-3-2x=0, 5-x-y=0, x+y-2=0$ . Mathematical Calculation
3	Use Taylor`s theorem to find a quadratic polynomial that approximates $xy=(1-x-y)^{-1}$ near the origin. Mathematical Calculation
4	Find the element of arc length and an element of volume in cylindrical coordinates. Mathematical Calculation
5	Find and classify all the critical points of $f(x,y)=4+x^3 +y^3 -3xy$ . Mathematical Calculation
6	Find the parametric and symmetric equations for the line passing through the points P(1,2,-1) and Q(5,-3,4) Mathematical Calculation
7	Evaluate ${intintint}_{Q}^{ }2xe^y sinzdV$ where Q is the rectangle defined by $Q=left { (x,y,z)\| 1leq xleg2, 0legyleg1, & 0legzlegpi ) ight }$ Mathematical Calculation