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Let f be the function that contains the point (-1,8) and satisfies the 10 x²+1' differential equation dx (a) Write the equation of the line tangent to f at x=-1. (b) Using your answer to part (a) and Euler's method with a step size of 0.5, estimate f(0). (c) Estimate f(0) using an integral.

Let f be the function that contains the point (-1,8) and satisfies the 10 x²+1' differential equation dx (a) Write the equation of the line tangent to f at x=-1. (b) Using your answer to part (a) and Euler's method with a step size of 0.5, estimate f(0). (c) Estimate f(0) using an integral.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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Let f be the function that contains the point (-1,8) and satisfies the dy 10 differential equation dx x² +1' (a) Write the equation of the line tangent to f at x=-1. (b) Using your answer to part (a) and Euler's method with a step size of 0.5, estimate f(0). (c) Estimate f(0) using an integral.
Transcribed Image Text:Let f be the function that contains the point (-1,8) and satisfies the dy 10 differential equation dx x² +1' (a) Write the equation of the line tangent to f at x=-1. (b) Using your answer to part (a) and Euler's method with a step size of 0.5, estimate f(0). (c) Estimate f(0) using an integral.
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