Let R be the region in the first quadrant of the xy-plane bounded by the curves xy = 1 and xy = 4 and the lines y = x and y = 2x. Use a suitable coordinate transformation to evaluate and hence find the area of R.
A) 8 square units
B) 4 ln(3) square units
C) 5 ln(3) square units
D) 3 ln(2) square units
E) 16 square units

Question

Let R be the region in the first quadrant of the xy-plane bounded by the curves xy = 1 and xy = 4 and the lines y = x and y = 2x. Use a suitable coordinate transformation to evaluate  and hence find the area of R.
A) 8 square units 
B) 4 ln(3) square units 
C) 5 ln(3) square units 
D) 3 ln(2) square units 
E) 16 square units

Quizplus · Accepted Answer

The Answer of Let R be the region in the first quadrant of the xy-plane bounded by the curves xy = 1 and xy = 4 and the lines y = x and y = 2x. Use a suitable coordinate transformation to evaluate  and hence find the area of R.
A) 8 square units 
B) 4 ln(3) square units 
C) 5 ln(3) square units 
D) 3 ln(2) square units 
E) 16 square units

Let R Be the Region in the First Quadrant of the Xy-Plane