Find the derivative of the function. h(x) = √1-x² sin-1(x) h'(x) = Need Help? Read It Submit Answer [0/6 Points] 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. a 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)= tan (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=4 390- -10x2 (+39) -39) 2 × 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.) 1-1 (10) - - tan
Find the derivative of the function. h(x) = √1-x² sin-1(x) h'(x) = Need Help? Read It Submit Answer [0/6 Points] 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. a 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)= tan (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=4 390- -10x2 (+39) -39) 2 × 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.) 1-1 (10) - - tan
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 44E
Question
![Find the derivative of the function.
h(x) =
√1-x² sin-1(x)
h'(x) =
Need Help?
Read It
Submit Answer
[0/6 Points]
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.
a
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)= tan
(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
390-
-10x2
(+39)
-39) 2
×
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.)
1-1 (10) -
- tan](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1d345713-68e1-4891-8840-4c8e4e231380%2F678b0f86-ef8c-4318-bfc9-9968b6388c12%2F0oci57_processed.png&w=3840&q=75)
Transcribed Image Text:Find the derivative of the function.
h(x) =
√1-x² sin-1(x)
h'(x) =
Need Help?
Read It
Submit Answer
[0/6 Points]
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.
a
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)= tan
(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
390-
-10x2
(+39)
-39) 2
×
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.)
1-1 (10) -
- tan
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