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bartleby.com
Answered: Use linear approximation, i.e. the tangent line, to approximate 2.7^6 as follows: Let f(x)=x^6. The equation of the tangent line to f(x) at x=3 can be written… | bartleby
Use linear approximation, i.e. the tangent line, to approximate 2.7^6 as follows: Let f(x)=x^6. The equation of the tangent line to f(x) at x=3 can be written in the form y=mx b where m=?b=? Using this, we find our approximation for 2.7^6 is ___?
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43. a. Write the equation of the line that represents the linear approximation of the following function at the given point.b. Use the linear approximation to estimate the given quantity.c. Compute the percent error in your approximation, 100|approximation - exact|/|exact|, where the exact value is given by a calculator.f(x) = 3/64 x; a = 0; 3/62.5a. L(x) = b. Using the linear approximation, 3/62.5 Type an integer or a decimal.(Round to four decimal places as needed.
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