2. Use two iterations of Newton's Method (i.e. find x2) to approximate the value of 57....

  

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2. Use two iterations of Newton's Method (i.e. find x2) to approximate the value of 57. Hint: Consider the equation 26-570 with an initial guess of x0 = 2. = 3. (4 points) Given that L = - (sec n sc (2 + 2(-1)) + (2 + 2(-1)). express the limit as noo as a definite integral. Hint: Remember that a left-endpoint Riemann sum over the interval [a, b] can be b-a written as L = f(x-1)Ar, where Ar= and - a+(i-1)Ar. Solve n for a first here from the f(x-1) part, and then use Ar to solve for b. 4. (4 points) Evaluate the following limit using L'Hopital's Rule. lim 2-0 cos(ax)-ex 2ax where a is any nonzero real number. Leave your answer in terms of a. 2. Use two iterations of Newton's Method (i.e. find x2) to approximate the value of 57. Hint: Consider the equation 26-570 with an initial guess of x0 = 2. = 3. (4 points) Given that L = - (sec n sc (2 + 2(-1)) + (2 + 2(-1)). express the limit as noo as a definite integral. Hint: Remember that a left-endpoint Riemann sum over the interval [a, b] can be b-a written as L = f(x-1)Ar, where Ar= and - a+(i-1)Ar. Solve n for a first here from the f(x-1) part, and then use Ar to solve for b. 4. (4 points) Evaluate the following limit using L'Hopital's Rule. lim 2-0 cos(ax)-ex 2ax where a is any nonzero real number. Leave your answer in terms of a.

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