Question

Given the function f (x comma y )equalsStartFraction 1 Over StartRoot 36 minus 25 x squared minus 25 y squared EndRoot EndFraction ​, answer the following questions. a. Find the​ function's domain. b. Find the​ function's range. c. Describe the​ function's level curves. d. Find the boundary of the​ function's domain. e. Determine if the domain is an open​ region, a closed​ region, both, or neither. f. Decide if the domain is bounded or unbounded.

Answer 1

Answer:

Step-by-step explanation:

f(x,y) = 1/√36 - 25x∧-2 - (25y²)∧1/2

f(x,y) = 1/6 - 25x∧-2 - 5y

a) The relationship between x and y is said to be implicit

∴ differentiating term by term with respect to x

50x∧-3 - 5dy/dx = 0

5dy/dx = 50/x³

∴ dy/dx = 50/5x³ = 10/x³

b) No range

c) In absence of range, there is no function's level

d) No boundary

e) neither

f) unbounded