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# 1. EvaluateF. T dswhere â‚¬ is the topological houndary ofthe two-dlimensional region iu the first quad- rant bounded by T = 0, ! = 0 andy= V4-p oriented in the...

## Question

###### 1. EvaluateF. T dswhere â‚¬ is the topological houndary ofthe two-dlimensional region iu the first quad- rant bounded by T = 0, ! = 0 andy= V4-p oriented in the counterclockwise direction; and Fl, (sin Vr T,*9):EvaluateF. T dswhere â‚¬ is the perimeter of the rectangle with vertices (0.0), (2,0) , (0.3). (2.3), oriented in the countereloekwise dlirection_ and Fl,u) = (e",log(z + 4)). Note: logz = Inz;Evaluate(lywhere â‚¬' is the topological boundlary of the rectangle [o.6] x lc; dJ, or

1. Evaluate F. T ds where â‚¬ is the topological houndary ofthe two-dlimensional region iu the first quad- rant bounded by T = 0, ! = 0 andy= V4-p oriented in the counterclockwise direction; and Fl, (sin Vr T,*9): Evaluate F. T ds where â‚¬ is the perimeter of the rectangle with vertices (0.0), (2,0) , (0.3). (2.3), oriented in the countereloekwise dlirection_ and Fl,u) = (e",log(z + 4)). Note: logz = Inz; Evaluate (ly where â‚¬' is the topological boundlary of the rectangle [o.6] x lc; dJ, oricmed in (hc cOuterelockwise direction; Ad w (f(r) + u)dr + rydy, and [o, 1] RR is # [uetion 4. If E is a Jordlan region whosc topological houndlary is # â‚¬'' CMTVO Oricnted in the counterelockwise direction; then Area(E) Uds t rdy. 0E fitcl thc ueA euelosecl by tle lop in tlc Foliu o[ Uso tc alve foula Descartes given by 3/2 +0'1+0 (â‚¬ [0,&)_

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