Question

what's the domain of \[x^3y^2z \sqrt{10-x-y-z}\]

Answer 1

hi

Answer 2

hi

Answer 3

domain within real numbers??

Answer 4

yes

sir

Answer 5

So to keep the given expression within real numbers - the expression within the square root cannot be negative........What is the condition for this?

Answer 6

10-x-y-z >= 0

Answer 7

right or, x+y+z<=0

Answer 8

ok what's next..?

Answer 9

isn't it x+y+z <= 10 ?

Answer 10

yeah i m sry abt that

Answer 11

Now you have to find the maximum and minimum values of the given expression within the given constraint

Answer 12

For finding maximum value x and z have to be positive while y can be negative...........I hope you can guess why?

Answer 13

.