Calculus Answers

The region R bounded by the lines x=O, y= r/6, y=r/4, and the curve x - cos y.

3. (a) Find the function’s domain,

(b) Find the function’s range,

(c) Find the boundary of the function’s domain,

(d) Determine if the domain is an open region, closed region, or neither, and

(e) Decide if the domain is bounded or unbounded.

(i) f(x, y) = xy

(iii) f(x, y) = ln(x^2+y^2-1)

Find and sketch the level curves f(x, y) = c on the same set of coordinate axes for the given values of c.

(a) f(x, y) = xy, c =, 0, 1.

(b) f(x, y) = . whole root of 25-x^2-y^2, c=1,2

Determine the volume of the region that is between the xy plane and f(x, y) = 1 + y^(5) +√x^(4) + 1 and is above the region in the xy plane that is bounded by y = √x, x = 2 and

the x-axis.