Describe the graph of the function f(x,y) = , where a > 0.
A) the sphere of radius a centred at the origin
B) the set of points inside or on the sphere of radius a centred at the origin
C) the points on the sphere of radius a centred at the origin that lie on or above the xy-plane
D) the circle centred at the origin in the xy-plane
E) the points inside or on the sphere of radius a centred at the origin that lie on or above the xy-plane
Correct Answer:
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Q1: Write the equation for the surface obtained
Q2: Find the domain of the function f(x,
Q3: Find the domain of the function
Q4: The set of all points (x,y)
Q6: Describe the level curves of the function
Q7: Let f(x, y, z) = x2 -
Q8: Describe the level curves f(x, y) =
Q9: Which function f(x,y) has the level curves
Q10: The graph below shows level curves f(x,y)
Q11: Identify the function f(x,y) whose domain is
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