Answer to Question #186271 in Calculus for noman

Question

. Consider a function h(u,v)=4u^2+v^2. Find the level curves for k=n+1,n+2,n+3,n+4,n+5,n+6,where n is the sum of second and third digit of your arid number e.g.20-arid-470 take n=7+0=7. Perform all steps clearly. Also Sketch the neat Graph 

Answer 1

Given, $h(u,v)=4u^2+v^2$

n=8 then

n+1

$\\4u^2+v^2=9, \\4u^2+v^2=10, \\4u^2+v^2=11, \\ 4u^2+v^2=12,\\ 4u^2+v^2=13, \\ 4u^2+v^2=14,$

The graph is given as-