1. Consider the problem of finding f(x) = sin(x) using Taylor series of degree 5. a....

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1. Consider the problem of finding f(x) = sin(x) using Taylor series of degree 5. a. Compute an approximation for sin(a). Here, a = 0.d where d is the last digit of your student ID with one exception: If that last digit is zero, take d = 1 and so a = 0.1. (For example, if your student ID is 201903827, then you should take a = 0.7. Similarly, if your student ID is 201803820, then based on the exception, you should take a = t = 0.1.) b. Find an upper bound for the absolute approximation error in part a. 1. Consider the problem of finding f(x) = sin(x) using Taylor series of degree 5. a. Compute an approximation for sin(a). Here, a = 0.d where d is the last digit of your student ID with one exception: If that last digit is zero, take d = 1 and so a = 0.1. (For example, if your student ID is 201903827, then you should take a = 0.7. Similarly, if your student ID is 201803820, then based on the exception, you should take a = t = 0.1.) b. Find an upper bound for the absolute approximation error in part a.

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Step 13 Taylor series of a function fx of n degree can be written as fx n0 a where a real or comp... View the full answer