Homework Help is Here – Start Your Trial Now!
Math
Calculus
Find equations of both the tangent lines to the ellipse x² + 9y² = 81 that pass through the point (27, 3). smaller slope y = larger slope y = Submit Answer -/3 Points] DETAILS MY NOTES SCALCET9 3.5.067. The figure shows a lamp located three units to the right of the y-axis and a shadow created by the elliptical region x² + 4y² ≤ 5. If the point (-5, 0) is on the edge of the shadow, how far above the x-axis is the lamp located? units 3 x²+4y²=5 Find the derivative of the function. h(x) = h'(x) = Submit Answer 6 Points] sin-1(x) DETAILS MY NOTES You are standing in the Uffizzi gallery admiring a painting by Botticelli. The painting is huge, and your viewing location is pictured below; all measurements are in meters. 10 3 (a) If x is the your distance from the wall holding the painting, find a function A(x) that computes the angle a in the picture; A(x)= (b) Find the rate of change with respect to x of the angle a when you are at the location x (c) Find the rate of change with respect to x of the angle a when you are at the location x=4 m. (Exact answer.) (d) Find the rate of change with respect to x of the angle a when you are at the location x=13 m. (Exact answer.) (e) Find the location where the rate of change with respect to x of the angle a is zero (f) When you are standing at the location to maximize a, what is the value of a? m.(Exact answer.) (Radians to three decimal places.)

Find equations of both the tangent lines to the ellipse x² + 9y² = 81 that pass through the point (27, 3). smaller slope y = larger slope y = Submit Answer -/3 Points] DETAILS MY NOTES SCALCET9 3.5.067. The figure shows a lamp located three units to the right of the y-axis and a shadow created by the elliptical region x² + 4y² ≤ 5. If the point (-5, 0) is on the edge of the shadow, how far above the x-axis is the lamp located? units 3 x²+4y²=5 Find the derivative of the function. h(x) = h'(x) = Submit Answer 6 Points] sin-1(x) DETAILS MY NOTES You are standing in the Uffizzi gallery admiring a painting by Botticelli. The painting is huge, and your viewing location is pictured below; all measurements are in meters. 10 3 (a) If x is the your distance from the wall holding the painting, find a function A(x) that computes the angle a in the picture; A(x)= (b) Find the rate of change with respect to x of the angle a when you are at the location x (c) Find the rate of change with respect to x of the angle a when you are at the location x=4 m. (Exact answer.) (d) Find the rate of change with respect to x of the angle a when you are at the location x=13 m. (Exact answer.) (e) Find the location where the rate of change with respect to x of the angle a is zero (f) When you are standing at the location to maximize a, what is the value of a? m.(Exact answer.) (Radians to three decimal places.)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 35E
See similar textbooks
icon
Related questions
Question
Find equations of both the tangent lines to the ellipse x² + 9y² = 81 that pass through the point (27, 3). smaller slope y = larger slope y = Submit Answer -/3 Points] DETAILS MY NOTES SCALCET9 3.5.067. The figure shows a lamp located three units to the right of the y-axis and a shadow created by the elliptical region x² + 4y² ≤ 5. If the point (-5, 0) is on the edge of the shadow, how far above the x-axis is the lamp located? units 3 x²+4y²=5
Transcribed Image Text:Find equations of both the tangent lines to the ellipse x² + 9y² = 81 that pass through the point (27, 3). smaller slope y = larger slope y = Submit Answer -/3 Points] DETAILS MY NOTES SCALCET9 3.5.067. The figure shows a lamp located three units to the right of the y-axis and a shadow created by the elliptical region x² + 4y² ≤ 5. If the point (-5, 0) is on the edge of the shadow, how far above the x-axis is the lamp located? units 3 x²+4y²=5
Find the derivative of the function. h(x) = h'(x) = Submit Answer 6 Points] sin-1(x) DETAILS MY NOTES You are standing in the Uffizzi gallery admiring a painting by Botticelli. The painting is huge, and your viewing location is pictured below; all measurements are in meters. 10 3 (a) If x is the your distance from the wall holding the painting, find a function A(x) that computes the angle a in the picture; A(x)= (b) Find the rate of change with respect to x of the angle a when you are at the location x (c) Find the rate of change with respect to x of the angle a when you are at the location x=4 m. (Exact answer.) (d) Find the rate of change with respect to x of the angle a when you are at the location x=13 m. (Exact answer.) (e) Find the location where the rate of change with respect to x of the angle a is zero (f) When you are standing at the location to maximize a, what is the value of a? m.(Exact answer.) (Radians to three decimal places.)
Transcribed Image Text:Find the derivative of the function. h(x) = h'(x) = Submit Answer 6 Points] sin-1(x) DETAILS MY NOTES You are standing in the Uffizzi gallery admiring a painting by Botticelli. The painting is huge, and your viewing location is pictured below; all measurements are in meters. 10 3 (a) If x is the your distance from the wall holding the painting, find a function A(x) that computes the angle a in the picture; A(x)= (b) Find the rate of change with respect to x of the angle a when you are at the location x (c) Find the rate of change with respect to x of the angle a when you are at the location x=4 m. (Exact answer.) (d) Find the rate of change with respect to x of the angle a when you are at the location x=13 m. (Exact answer.) (e) Find the location where the rate of change with respect to x of the angle a is zero (f) When you are standing at the location to maximize a, what is the value of a? m.(Exact answer.) (Radians to three decimal places.)
Expert Solution
steps

Step by step

Solved in 2 steps with 19 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS