Let f(x)=√x + 10x Find the slope of the secant line on the graph of f(x) for each interval: [16, 18]: 7 : msec = [16, 17]: msec = [16, 16.5]: msec = [16, 16.1]: msec = 10.1213 [16, 16.01]: msec = mtan = 10.123 81 8 10.124 10.10989 10.12 10.124980474853 [16, 16.001]: msec = Estimate the slope of the tangent line to f(x) at x = 16 ✓OF ✓0³ X ✓o ✓ O 08 Write an equation of the tangent line to f(x) at x = 16. [Use and y as the variables of the y=103x - 786

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Let f(x)=√x + 10x
Find the slope of the secant line on the graph of f(x) for each interval:
[16, 18]: msec = 10.1213
[16, 17]: msec
=
[16, 16.5]: msec = 10.124
[16, 16.1]: msec
[16, 16.01]: msec
mtan
81
8
= 10.10989
10.123
=
y=103x786
[16, 16.001]: msec
Estimate the slope of the tangent line to f(x) at x = 16
10.12
=
10.124980474853
OT
OF
Write an equation of the tangent line to f(x) at x = 16. [Use x and y as the variables of the equation]
X
Transcribed Image Text:Let f(x)=√x + 10x Find the slope of the secant line on the graph of f(x) for each interval: [16, 18]: msec = 10.1213 [16, 17]: msec = [16, 16.5]: msec = 10.124 [16, 16.1]: msec [16, 16.01]: msec mtan 81 8 = 10.10989 10.123 = y=103x786 [16, 16.001]: msec Estimate the slope of the tangent line to f(x) at x = 16 10.12 = 10.124980474853 OT OF Write an equation of the tangent line to f(x) at x = 16. [Use x and y as the variables of the equation] X
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