Use linear approximation, i.e. the tangent line, to approximate 8.06 as follows. Let f(x)=√x and find the equation of the tangent line to f(x) at x = 8 in the form y = mx + b. Note: The values of m and b are rational numbers which can be computed by hand. You need to enter expressions which give m and b exactly. You may not have a decimal point in the answers to either of these parts. m = b= Using these values, find the approximation. √8.06 Note: You can enter decimals for the last part, but it will has to be entered to very high precision (correct for 6 places past the decimal point).

Use linear approximation, i.e. the tangent line, to approximate 8.06 as follows. Let f(x)=√x and find the equation of the tangent line to f(x) at x = 8 in the form y = mx + b. Note: The values of m and b are rational numbers which can be computed by hand. You need to enter expressions which give m and b exactly. You may not have a decimal point in the answers to either of these parts. m = b= Using these values, find the approximation. √8.06 Note: You can enter decimals for the last part, but it will has to be entered to very high precision (correct for 6 places past the decimal point).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 94E

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Find the unknown value. 27. y varies jointly with x and the cube root of 2. If when x=2 and z=27,y=12, find y if x=5 and z=8.
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