Question
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Determine if the following integrals converge or diverge. Find the value far the convergent integrals. Estimate the value of the following integrals using the midpoint rule, the trapezoid rule, and Simpson's rule with n 4: Estimate the following integral using the trapezoid rule and Simpson's rule wit n= 4: What value of n guarantees that the trapezoid role approximates to within 0.0001? What value of n is required if we use Simpson's rule instead? The midpoint rule? Find the required values of n for also Suppose the acceleration of an object is given by a(t) 20e-0.5 m/s2 after t seconds. Find the velocity function r(t). t > 0, assuming the initial velocity is 0 m/s. (l>) Graph the velocity function. What is the velocity after a very long time? (This means in the limit as t rightarrow infinity How far does the object travel in the first 10 seconds of motion? Find the solution to the following initial value problems: The first 30 integrals do not require the use of either trigonometric substitution or p3rti.1l fractions, The next 20 integrals may require either trigonometric substitution or partial fractions,
Explanation / Answer
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