|suppose the terrain of a hillside is represented as the graph z = f(x). Suppose f(a) = c andA-1Vf(a) =Give a vector in R³ tangent to the curve through[²]along which the elevation stays constant. (Be prepared to explain your answer to the class.)Give a vector in IR³ pointing in the direction tangent atConsider a typical map, in which east is depicted in the e₁ direction and north is depicted in the e₂ direction.If you walk along a path atfunction.#If you now walk along a path attrigonometric function.A that goes uphill as steeply as possible. (Be prepared to explain your answer to the class.)heading due west, at what angle (in radians) are you walking uphill at that instant? (Be prepared to explain your answer to the class.) You may give your answer in terms of an inverse trigonometricheading northeast, at what angle (in radians) are you walking uphill at that instant? (Be prepared to explain your answer to the class.) You may give your answer in terms of an inverse

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10 suppose the terrain of a hillside is represented as the graph z f(x). Suppose f(a) = c and Q Vf(a) = Give a vector in R³ tangent to the curve through ⠀ [a] along which the elevation stays constant. (Be prepared to explain your answer to the class.) Give a vector in R³ pointing in the direction tangent at If you now walk along a path at trigonometric function. that goes uphill as steeply as possible. (Be prepared to explain your answer to the class.) Consider a typical map, in which east is depicted in the e₁ direction and north is depicted in the e2 direction. If you walk along a path at function. heading due west, at what angle (in radians) are you walking uphill at that instant? (Be prepared to explain your answer to the class.) You may give your answer in terms of an inverse trigonometric heading northeast, at what angle (in radians) are you walking uphill at that instant? (Be prepared to explain your answer to the class.) You may give your answer in terms of an inverse

10 suppose the terrain of a hillside is represented as the graph z f(x). Suppose f(a) = c and Q Vf(a) = Give a vector in R³ tangent to the curve through ⠀ [a] along which the elevation stays constant. (Be prepared to explain your answer to the class.) Give a vector in R³ pointing in the direction tangent at If you now walk along a path at trigonometric function. that goes uphill as steeply as possible. (Be prepared to explain your answer to the class.) Consider a typical map, in which east is depicted in the e₁ direction and north is depicted in the e2 direction. If you walk along a path at function. heading due west, at what angle (in radians) are you walking uphill at that instant? (Be prepared to explain your answer to the class.) You may give your answer in terms of an inverse trigonometric heading northeast, at what angle (in radians) are you walking uphill at that instant? (Be prepared to explain your answer to the class.) You may give your answer in terms of an inverse

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 91E

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