Limits Applied to Integrals Problem: Rhoda starts riding down the driveway on her

Chapter 2, Problem 13

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Limits Applied to Integrals Problem: Rhoda starts riding down the driveway on her tricycle. Being quite precocious, she figures her velocity, v, in ft/s is where t is time, in seconds, since she started. Figure 2-5i shows v as a function of t. Figure 2-5i a. Explain why the definite integral from t = 0 to t = 9 represents the distance Rhoda rodein the first 9 seconds.b. Use the trapezoidal rule to estimate the integral in part a. Try 9, 45, 90, and 450 trapezoids. Record all the decimal places your program gives you.c. What number (an integer in this case) do you think is the exact value of the integral? Explain why this number is a limit. Why are the approximate answers by trapezoids all smaller than this number? Figure out how many trapezoids are neededso that the approximation of the integral iswithin 0.01 unit of the limit. Explain howyou go about getting the answer