Question: Review of Calculus(a) Using Intermediate Value Theorem, determine the values of cinR when f(x)=csinx-1has exactly two roots on0,.(b) Consider approximating f(x)=e-x2on-1,1 using Taylor polynomial near

Review of Calculus(a) Using Intermediate Value Theorem, determine the values of cinR when f(x)=csinx-1has exactly two roots on0,.(b) Consider approximating f(x)=e-x2on-1,1 using Taylor polynomial near x0=0.i. Determine P2(x) and an upper bound for the absolute error using R2(x)on-1,1.ii. Compute the actual absolute error ofP2(0.1) and f(0.1)~~0.990049833779168.How does it compare with your upper bound?iii. Determine P10(x) and compute the actual absolute error ofP10(0.1) and f(0.1).How does it compare with P2(0.1)? Hint: You don't need to differentiate 10 times!

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