2 1 points RogaCalcET3 15.6 My Notes Ask Your Tea Let G(u, v)-(2uv, 9u + 2v) be

Question

2 1 points RogaCalcET3 15.6 My Notes Ask Your Tea Let G(u, v)-(2uv, 9u + 2v) be a map from the uv-plane to the xy-plane. Describe the image of the line through the points (u, v)1 and (u, v) -(1,-1) under G in slope-intercept form eBook 3. + points RogaCalcET3 15.6.010 Mty Notes Ask Your Tea Let G(u, v)-(4uv, 3u 5) be a map from the uv-plane to the xy-plane. Find a point in the uv-plane mapping to (4, 4). (u, v) eBook 4. -1 points RogaCalcET3 15.6.011 My Notes Ask Your Tea Let G(u, v)- (3u v, 9u 5v) be a map from the uv-plane to the xy-plane. Calculate Jac(G) eBook

Explanation / Answer

Given, G(u,v)= (2u+v, 9u+2v) and the points (u,v)=(1,1) and (1,-1)

let x = 2u+v and y = 9u+2v

so, (u,v)=(1,1) => (x,y)=(3,11)

and (u,v)=(1,-1) => (x,y)=(1,7).

therefore the line in the xy plane is

y-7 = ((11-7)/(3-1).)*(x-1) = 2(x-1)

=> y = 2x-2+7=2x+5 ..... ans

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