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Alexus [3.1K]
3 years ago
9

Given the function f (x comma y )equalsStartFraction 1 Over StartRoot 36 minus 25 x squared minus 25 y squared EndRoot EndFracti

on ​, 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.
Mathematics
1 answer:
stepladder [879]3 years ago
5 0

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

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13. Jessica has taken 8 quizzes. The mean of her scores is 92. Her first 6 scores are shown.
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Step-by-step explanation:

Step 1:

Here we are going to find the volume of square pyramid.

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3 years ago
Write the equation of the line that is perpendicular to the line y = 2x + 2 and passes through the point (6, 3).
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Answer:

\[y = (-1/2) * x + 6\]

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Only options 2 and 3 satisfy this condition.

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Or, \[ 3 =0 \] which is false . Hence option 2 is not valid.

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