Khan Academy
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Khan Academy
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Sal finds a linear expression that approximates y=1/(x-1) around x=-1. This is done by finding the equation of the line tangent to the graph at x=-1, a process called \"linear approximation.\"
Aug 21, 2016
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Consider the function f left parenthesis x right parenthesis equals sin x near x equals straight pi. Find the linear approximation error when using the linear approximation to estimate sin 3.
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SOLVED:(a) Use the local linear approximation of sinx at x0=0 obtained in Example 2 to approximate sin1^∘, and com- pare the approximation to the result produced directly by your calculating device. (b) How would you choose x0 to approximate sin44^∘ ? (c) Approximate sin 44^∘; compare the approximation to the result produced directly by your calculating device.
SOLVED:(a) Use the local linear approximation of sinx at x0=0 obtained in Example 2 to approximate sin1^∘, and com- pare the approximation to the result produced directly by your calculating device. (b) How would you choose x0 to approximate sin44^∘ ? (c) Approximate sin 44^∘; compare the approximation to the result produced directly by your calculating device.
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Consider the function f left parenthesis x right parenthesis equals sin x near x equals straight pi. Find the linear approximation error when using the linear approximation to estimate sin 3.
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numerade.com
SOLVED:(a) Use the local linear approximation of sinx at x0=0 obtained in Example 2 to approximate sin1^∘, and com- pare the approximation to the result produced directly by your calculating device. (b) How would you choose x0 to approximate sin44^∘ ? (c) Approximate sin 44^∘; compare the approximation to the result produced directly by your calculating device.
SOLVED:(a) Use the local linear approximation of sinx at x0=0 obta…
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