49. Find a > 0 such that the tangent line to the graph of f(x) = x²e¯x at x = a passes through the origin (Figure 7). FIGURE 7 y + a f(x) = x²e-x X Rogawski et al., Single Variable Calculus, 4e, © 2019 W. H. Freeman and Company
49. Find a > 0 such that the tangent line to the graph of f(x) = x²e¯x at x = a passes through the origin (Figure 7). FIGURE 7 y + a f(x) = x²e-x X Rogawski et al., Single Variable Calculus, 4e, © 2019 W. H. Freeman and Company
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter5: Graphs And The Derivative
Section5.3: Higher Derivatives, Concavity, And The Second Derivative Test
Problem 63E
Related questions
Question
![49. Find a > 0 such that the tangent line to the graph of ƒ(x) = x²e¯× at x = a passes
through the origin (Figure 7).
FIGURE 7
y
f(x) = x²e-x
X
a
Rogawski et al., Single Variable Calculus, 4e,
© 2019 W. H. Freeman and Company](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6035f1a2-2c03-490a-9469-88f7b64e730f%2Fd698325b-1500-405f-b0ff-266d21ab42b2%2Fzqdykl5v_processed.png&w=3840&q=75)
Transcribed Image Text:49. Find a > 0 such that the tangent line to the graph of ƒ(x) = x²e¯× at x = a passes
through the origin (Figure 7).
FIGURE 7
y
f(x) = x²e-x
X
a
Rogawski et al., Single Variable Calculus, 4e,
© 2019 W. H. Freeman and Company
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 3 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Calculus For The Life Sciences](https://www.bartleby.com/isbn_cover_images/9780321964038/9780321964038_smallCoverImage.gif)
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![Trigonometry (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781337278461/9781337278461_smallCoverImage.gif)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
![Calculus For The Life Sciences](https://www.bartleby.com/isbn_cover_images/9780321964038/9780321964038_smallCoverImage.gif)
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![Trigonometry (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781337278461/9781337278461_smallCoverImage.gif)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning