AB Module 7 Use the differential equation permitted for A or C. 3+ 2 = dx to answer questions A-C. A calculator is NOT x+2 A) On the axis provided, sketch the slope field for the given differential equation at the 6 points provided. B) Let y = f(x) be the particular solution to the given differential equation with the initial condition f(1) = 2. Write the equation for the line tangent to the graph of y = f(x) at x = 1. Use the tangent line to approximate f(1.2). Round to THREE accurate decimal places. C) Find the particular y = f(x) to the given differential equation with initial condition f(1) = 2.

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.
Chapter11: Differential Equations
Section11.3: Euler's Method
Problem 18E: Use Eulers method to approximate the indicated function value to 3 decimal places, using h=0.1....
Question
AB Module 7
Use the differential equation
permitted for A or C.
3+
2
=
dx
to answer questions A-C. A calculator is NOT
x+2
A) On the axis provided, sketch the slope field for the given differential equation at the
6 points provided.
B) Let y = f(x) be the particular solution to the given differential equation with the initial
condition f(1) = 2. Write the equation for the line tangent to the graph of y = f(x) at x
= 1. Use the tangent line to approximate f(1.2). Round to THREE accurate decimal
places.
C) Find the particular y = f(x) to the given differential equation with initial condition f(1) =
2.
Transcribed Image Text:AB Module 7 Use the differential equation permitted for A or C. 3+ 2 = dx to answer questions A-C. A calculator is NOT x+2 A) On the axis provided, sketch the slope field for the given differential equation at the 6 points provided. B) Let y = f(x) be the particular solution to the given differential equation with the initial condition f(1) = 2. Write the equation for the line tangent to the graph of y = f(x) at x = 1. Use the tangent line to approximate f(1.2). Round to THREE accurate decimal places. C) Find the particular y = f(x) to the given differential equation with initial condition f(1) = 2.
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