Suppose that y = f(x) is a particular solution to the differential equation condition f(2) = 3. A. Find the equation of the tangent line to the graph of y = f(x) at x = 2. y = B. Use your tangent line approximation to approximate f(2.2). f(2.2)≈ dy = 2x + y² with the initial dx

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.
Chapter9: Multivariable Calculus
Section9.CR: Chapter 9 Review
Problem 54CR
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dy
Suppose that y = f(x) is a particular solution to the differential equation
condition f(2) = 3.
=2x+y with the initial
dx
A. Find the equation of the tangent line to the graph of y = f(x) at x = 2.
y =
B. Use your tangent line approximation to approximate f(2.2).
f(2.2)≈
Transcribed Image Text:dy Suppose that y = f(x) is a particular solution to the differential equation condition f(2) = 3. =2x+y with the initial dx A. Find the equation of the tangent line to the graph of y = f(x) at x = 2. y = B. Use your tangent line approximation to approximate f(2.2). f(2.2)≈
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ISBN:
9780321964038
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GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,