An engineer is building experimental, dome-shaped living quarters 33 m high and modeled by the function z = 33 2x² - 5y². She wants to bolt a flat solar panel to the dome at the point (2, 2, 5). Find the vector of the direction in which the engineer should drill. (Give your answer using component form or standard basis vectors. Express numbers in exact form. Use symbolic notation and fractions where needed.) direction:

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 35E
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An
engineer is building experimental, dome-shaped living quarters 33 m high and modeled by the function
z = 33 - 2x² - 5y². She wants to bolt a flat solar panel to the dome at the point (2, 2, 5). Find the vector of the direction in
which the engineer should drill.
(Give your answer using component form or standard basis vectors. Express numbers in exact form. Use symbolic notation and
fractions where needed.)
direction:
Transcribed Image Text:An engineer is building experimental, dome-shaped living quarters 33 m high and modeled by the function z = 33 - 2x² - 5y². She wants to bolt a flat solar panel to the dome at the point (2, 2, 5). Find the vector of the direction in which the engineer should drill. (Give your answer using component form or standard basis vectors. Express numbers in exact form. Use symbolic notation and fractions where needed.) direction:
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