Previous 1 as follows: Let f(x) 1 and find the equation of Use linear approximation, i.e. the tangent line, to approximate 0.201 1 the tangent line to f(x) at a "nice" point near 0.201. Then use this to approximate 0.201
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- Use a local linear approximation to estimate the following y-values 1. f(3.1) 2. f(-0.1) 3. f(1.2)3. Find the linear approximation of the function g(x)=3√1 +x at a =0 and use it to approximatethe numbers 3√0.95 and 3√1.1. Illustrate by graphing g and the tangent line.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 ___?
- Verify the given linear approximation at a=0. Then use a graphing calculator or computer to determine the values of x for which the linear approximation is accurate to within 0.1. 4tan(x)=4xVerify the given linear approximation at a=0 . Thendetermine the values of x for which the linear approximation isaccurate to within 0.1.Use linear approximation, i.e. the tangent line, to approximate 4.9^7 as follows:Let f(x)=x^7. The equation of the tangent line to f(x) at x=5 can be written in the form y=mx+bwhere m is: and where b is: Using this, we find our approximation for 4.9^7 is