Question: 3. Consider the function f (@) = 2020x - on the interval [0, 3). (a) (6 points) Evaluate the Riemann sum for this function with



3. Consider the function f (@) = 2020x - on the interval [0, 3). (a) (6 points) Evaluate the Riemann sum for this function with six subintervals of equal width, taking the sample points to be the left endpoints.(b) (6 points) Using Theorem 4 on page 213 of your textbook, write down a limit which represents the area under the graph of f(x) from 0 to 3. (Hint: This is similar to Homework Section 4.1 Question 4. If you need a further hint then please take a look at Section 4.2 Example 2b). (c) (10 points) Evaluate the limit from part 3(b). Please do not use The Evaluation Theorem or The Fundamental Theorem of Calculus. Hint: Use may need the following identities. i = n(n + 1) n(n + 1)(2n + 1) and 3 = n(n + 1) 2 6 2 i= i=1 (6 points) If f(x) = e-2 ->, then compute (f-1)'(1).\f
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