Approximate cos(0.01) using tangent line approximation: First note that cos(0.01) ≈ cos(0) Let f(x) = cos(x). Then f'(x) = _______ Let x0 = 0. Then f'(0) = _____ L(x), the line tangent to cos(x) at x0 = 0 is: L(x) = ______ Use the tangent line to approximate cos(0.01) cos(0.01) ≈ _____
Approximate cos(0.01) using tangent line approximation: First note that cos(0.01) ≈ cos(0) Let f(x) = cos(x). Then f'(x) = _______ Let x0 = 0. Then f'(0) = _____ L(x), the line tangent to cos(x) at x0 = 0 is: L(x) = ______ Use the tangent line to approximate cos(0.01) cos(0.01) ≈ _____
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Approximate cos(0.01) using tangent line approximation:
First note that cos(0.01) ≈ cos(0)
Let f(x) = cos(x). Then f'(x) = _______
Let x0 = 0. Then f'(0) = _____
L(x), the line tangent to cos(x) at x0 = 0 is:
L(x) = ______
Use the tangent line to approximate cos(0.01)
cos(0.01) ≈ _____
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 1 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
