a. Find the linear approximating polynomial for the following function centered at the given point a. b. Find the quadratic approximating polynomial for the following function centered at the given point a. c. Use the polynomials obtained in parts a. and b. to approximate the given quantity. f(x) = e X, a = 0; approximate e -04 a. p, (x) =D b. P2(x) =O c. Using the linear approximating polynomial to estimate, e (Simplify your answer,.) -04 is approximately Using the quadratic approximating polynomial to estimate, e (Simplify your answer.) is approximately <. -0.4
a. Find the linear approximating polynomial for the following function centered at the given point a. b. Find the quadratic approximating polynomial for the following function centered at the given point a. c. Use the polynomials obtained in parts a. and b. to approximate the given quantity. f(x) = e X, a = 0; approximate e -04 a. p, (x) =D b. P2(x) =O c. Using the linear approximating polynomial to estimate, e (Simplify your answer,.) -04 is approximately Using the quadratic approximating polynomial to estimate, e (Simplify your answer.) is approximately <. -0.4
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![a. Find the linear approximating polynomial for the following function centered at the given point a.
b. Find the quadratic approximating polynomial for the following function centered at the given point a.
c. Use the polynomials obtained in parts a. and b. to approximate the given quantity.
f(x) = e X, a = 0; approximate e -04
a. p, (x) =D
b. P2(x) =D
c. Using the linear approximating polynomial to estimate, e
(Simplify your answer,.)
is approximately
-04
is approximately
-04
Using the quadratic approximating polynomial to estimate, e
(Simplify your answer.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F828ce15e-5110-4547-95d6-c4d8b77d9cae%2F0e75ff02-f40a-45a6-93fa-57768594627e%2Fx67ak7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:a. Find the linear approximating polynomial for the following function centered at the given point a.
b. Find the quadratic approximating polynomial for the following function centered at the given point a.
c. Use the polynomials obtained in parts a. and b. to approximate the given quantity.
f(x) = e X, a = 0; approximate e -04
a. p, (x) =D
b. P2(x) =D
c. Using the linear approximating polynomial to estimate, e
(Simplify your answer,.)
is approximately
-04
is approximately
-04
Using the quadratic approximating polynomial to estimate, e
(Simplify your answer.)
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