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8. -10.5 points SCalcET8M 15.9.013. My Notes Ask Your Teacher A region R in the

ID: 2884614 • Letter: 8

Question

8. -10.5 points SCalcET8M 15.9.013. My Notes Ask Your Teacher A region R in the xy-plane is given. Find equations for a transformation T that maps a rectangular region S in the uv-plane onto R, where the sides of S are parallel to the u- and v- axes. (Let u play the role of r and v the role of e. Enter your answers as a comma-separated list of equations.) R lies between the circles x2 + y2 1 and x2 y2- 7 in the first quadrant Need Help?Read It Submit Answer Save Progress Practice Another Version

Explanation / Answer

R is the region lies in between the circles x2+y2=1 and  x2+y2=7

for circle x2+y2=1 transformation equations are x=ucos(v) ,y=usin(v) where u=1 and 0<=v<=3600

for circle x2+y2=7 transformation equations are x=ucos(v) ,y=usin(v) where u=?7 and 0<=v<=3600

so the transformation equations for the region lies in between the two circles are :

  x=ucos(v) ,y=usin(v) where 1<=u<=?7   

and   0<=v<=3600

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